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Spectroscopic signatures of topological quantum matter

Loughborough UniversityLoughborough, United Kingdom

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Tuition Fee

GBP 28,600

Start Date

أكتوبر ١، ٢٠٢٦

Study Mode

On campus

Duration

3 years

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Program Details

Degree
PhD
Major
Physics
Area of study
Natural Science
Timing
Full time
Course Language
English

Intakes

Program start date
أكتوبر ١، ٢٠٢٦
يناير ١، ٢٠٢٧
أكتوبر ١، ٢٠٢٧

Program Overview

Spectroscopic Signatures of Topological Quantum Matter

The idea that strongly interacting spins in a solid can evade ordering down to zero temperature by forming a quantum spin liquid (QSL) has a long history. QSLs exhibit topological order and a plethora of remarkable quantum phenomena, including long-range entanglement, topological degeneracy, emergent Majorana fermions and gauge fields. The control and manipulation of such properties in condensed matter systems hold promise for future quantum technologies and computing applications.


The goal of the project is to address the central challenge currently in the field: How one can diagnose emergent Majorana fermions and gauge fields in real materials? The student will combine numerical algorithms (such as coupled cluster methods, large-scale exact diagonalization) and modern statistical sampling methods (based on typicality and thermalisation ideas) with the end goal to extract dynamical response functions that are measured directly in spectroscopic experiments, such as inelastic neutron scattering, Raman scattering and electron spin resonance. The ensuing predictions will be compared to ongoing experiments on available candidate materials (such as a-Li2IrO3, NaLi2O3 and a-RuCl3), and will lay the ground for quantitative diagnostics and the broader phenomenology of QSLs.


The PhD student will endeavour into one of the most vibrant fields of condensed matter, acquire expertise in numerical and analytical methods, and work on experimentally driven problems. The project is ideal for students with a strong interest in quantum condensed matter physics, topological phases of matter and numerical algorithms. A background in condensed matter physics is desirable. The project will be mainly numerical, although analytical skills will also be useful.


Qualification(s) Available: PhD

Entry Requirements

  • Students should have, or expect to achieve, at least a 2:1 Honours degree (or equivalent) in Physics or a related subject.
  • The University uses the Shanghai Academic Ranking of World Universities to identify the required final mark, as outlined on the table below:
    • Shanghai Rank Top 250: 83% (First Class), 79% (Mid 2:1), 75% (2:1), 73% (Mid 2:2), 70% (2:2)
    • Shanghai Rank 251-500: 88% (First Class), 84% (Mid 2:1), 80% (2:1), 78% (Mid 2:2), 75% (2:2)
    • Shanghai Rank 501+: 92% (First Class), 87% (Mid 2:1), 84% (2:1), 82% (Mid 2:2), 80% (2:2)
  • For countries with different grading systems, the following equivalencies apply:
    • Afghanistan: Masters - 95% (First-class), 85% (Upper second-class), 70% (Lower second-class)
    • Albania: Diplomë e Nivelit të Pare (First Level (University) Diploma (from 2010)) - 9.5 (First-class), 8.5 (Upper second-class), 8 (Lower second-class)
    • Algeria: Licence (4 year) / Diplome d'Inginieur d'Etat / Diplôme d'Etudes Supérieures - 16 (First-class), 14 (Upper second-class), 12 (Lower second-class)
    • Argentina: Licenciatura/ Licenciado (4 year) - 8.5 (First-class), 7.5 (Upper second-class), 6.0 (Lower second-class)
    • Armenia: Bakalavri Kochum required but typically a Magistrosi Kochum - 90% or 3.9 (First-class), 80% or 3.5 (Upper second-class), 70% or 3.0 (Lower second-class)
    • Australia: Honours degree (AQF level 8) - First Class, 80% (First-class), Upper Second, 70%, H2A (Upper second-class), Lower Second, 60%, H2B (Lower second-class)
    • Austria: Degree / Diplomstudium / Fachhochschuldiplom (Diplom (FH)) - A (or 1.5) mit Auszeichnungbestanden (First-class), 60% / B / (or 2) (Upper second-class), 60% / B / (or 2) (Lower second-class)
    • Azerbaijan: Bakalavr Diplomu/ Diplomu (Specialist Diploma) - 4.5 or 90% (First-class), 4 or 80% (Upper second-class), 3.5 or 70% (Lower second-class)
    • Bahamas: Degree from University of the West Indies only - 1st (GPA 3.6) (First-class), 2:1 (GPA 3.0) (Upper second-class), 2:2 (GPA 2.5) (Lower second-class)
    • Bahrain: GPA 4.0 scale - 3.5 (First-class), 3.0 (Upper second-class), 2.8 (Lower second-class)
    • Bangladesh: 4 Year Bachelor of Science in Engineering (IEB and BAETE accredited courses up to 2024) - 1st (70%) / 3.5 (First-class), 2nd (60%) / 3.0 (Upper second-class), 2nd (55%) / 2.75 (Lower second-class)
    • Barbados: University of the West Indies, Honours degree - 1st (GPA 3.6) (First-class), 2:1 (GPA 3.0) (Upper second-class), 2:2 (GPA 2.5) (Lower second-class)
    • Belarus: Specialist Diploma (5Yr) - 9 (First-class), 7 (Upper second-class), 5 (Lower second-class)
    • Belgium: Bachelor degree/Licenciaat/Licencie - 80% or 17 (First-class), 70% or 14 (Upper second-class), 60% or 12 (Lower second-class)
    • Belize: Degree from University of the West Indies only - 1st (GPA 3.6) (First-class), 2:1 (GPA 3.0) (Upper second-class), 2:2 (GPA 2.5) (Lower second-class)
    • Benin: Maitrise - 18 (First-class), 15 or Bien (Upper second-class), 12 or Assez Bien (Lower second-class)
    • Bermuda: Degree from University of the West Indies only - 1st (GPA 3.6) (First-class), 2:1 (GPA 3.0) (Upper second-class), 2:2 (GPA 2.5) (Lower second-class)
    • Bolivia: A Licenciado, 4 years Private (public/private) - 85/78 (First-class), 75/66 (Upper second-class), 67/55 (Lower second-class)
    • Bosnia and Herzegovina: Diplom Visokog Obrazovanja / Diplomirani - 10 (First-class), 9 (Upper second-class), 8 (Lower second-class)
    • Botswana: Master's degree - A or 80% (First-class), B or 70% (Upper second-class), C or 60% (Lower second-class)
    • Brazil: Brazil - 4 yr Bacharel or Licenciado/Licenciatura or Título Profissional - 8.5 (First-class), 7.5 (Upper second-class), 6.5 (Lower second-class)
    • Brunei: Brunei - First (First-class), Upper Second (60%/B/3.1) (Upper second-class), Lower Second (50% or C or 2.5) (Lower second-class)
    • Bulgaria: 5 yr Diploma za Zavarsheno Visshe Obrazovanie (Diploma of Completed Higher Education) - 6 (First-class), 5 (Upper second-class), 4 (Lower second-class)
    • Burundi: Masters or Diplôme d'Études Approfondies or Diplôme Ingénieur (professional title) - 18 (First-class), 15/20 (Bien) (Upper second-class), 12.5/20 (Assez Bien) (Lower second-class)
    • Cambodia: Masters - 80% or B+ or 3.5 (First-class), 70% or B or 3.0 (Upper second-class), 60% or C+ or 2.5 (Lower second-class)
    • Cameroon: Bachelor degree or Diplome d'Etudes Superiures de Commerce or Diplome d'Ingenieur or Diplôme d'Ingénieur de Conception or a Maitrise, 4 year Licence or Master 1 (M1) - 1st / 3.6 or 15/Tres Bien (First-class), 2:1 / GPA 3.0 or 14 / Bien (Upper second-class), 2:2 / GPA 2.5 or 12.5/ Assez Bien (Lower second-class)
    • Canada: GPA 4.0/Percentage - 3.7/85% (First-class), 3.3/75% (Upper second-class), 2.7/68% (Lower second-class)
    • Chile: Grado de Licenciado / Título (Profesional) de [subject area] (4 years) - 6 (First-class), 5.5 (Upper second-class), 5 (Lower second-class)
    • China: Students are required to have a bachelor degree (4 years) for entry to a postgraduate programme. The University uses the Shanghai Academic Ranking of World Universities to identify the required final mark, as outlined on the table below:
      • Shanghai Rank Top 250: 83% (First Class), 79% (Mid 2:1), 75% (2:1), 73% (Mid 2:2), 70% (2:2)
      • Shanghai Rank 251-500: 88% (First Class), 84% (Mid 2:1), 80% (2:1), 78% (Mid 2:2), 75% (2:2)
      • Shanghai Rank 501+: 92% (First Class), 87% (Mid 2:1), 84% (2:1), 82% (Mid 2:2), 80% (2:2)
    • Colombia: Licenciado / Título de [subject area] - 4.5 (First-class), 3.75 (Upper second-class), 3.2 (Lower second-class)
    • Costa Rica: Licenciado - 9 (First-class), 8 or 80 (Upper second-class), 7 or 75 (Lower second-class)
    • Croatia: Baccalaureus / Prvostupnik - 4.5 (First-class), 3.8 (Upper second-class), 3.0 (Lower second-class)
    • Cuba: 4-year Titulo de Licenciado / Licenciatura - 5 (First-class), 4 (Upper second-class), 3 (Lower second-class)
    • Cyprus: Cyprus - 8.5 (First-class), 7.0 (Upper second-class), 6.5 (Lower second-class)
    • Czech Republic: Bakalár (after 2001) 6 yr integrated Magistr - 1 (First-class), 1.5 (Upper second-class), 2 (Lower second-class)
    • Denmark: 5 year Candidatus/Candidata Magisterii or Bachelor degree (7 point scale) - 12 (First-class), 10 (Upper second-class), 7 (Lower second-class)
    • Dominican Republic: 4 year Licenciado or Título de [subject area] - 3.8 (First-class), Magna Cum Laude or 3.5 or 85% (Upper second-class), Cum Laude or 3.2 or 82% (Lower second-class)
    • Ecuador: Título de Licenciado / Título de [subject area] - 8.5 / 85% (First-class), 8 / 80% (Upper second-class), 7 / 70% (Lower second-class)
    • Egypt: Egypt - 3.5 (First-class), 3.2 (Upper second-class), 2.8 (Lower second-class)
    • El Salvador: 5 year Licenciado, Título de Ingeniero/Arquitecto - 8.5, 85% (First-class), 7.5, 75% or Muy Bueno (Upper second-class), 6.5, 65% or Bueno (Lower second-class)
    • Estonia: Bakalaureusekraad or Magister or Magistrikraad - 5 or 91% or A (First-class), 4 or 81% or B (Upper second-class), 3 or 71% or C (Lower second-class)
    • Ethiopia: Masters (up to 2025) - A or GPA 4.0 (First-class), A or GPA 3.5 (Upper second-class), B or GPA 2.8 (Lower second-class)
    • Finland: Kandidaattii/Kandidat or the Maisteri/Magister - 3 (out of 3) or 4.5 (out of 5) (First-class), 2 (out of 3) or 3 (out of 5) (Upper second-class), 1 (out of 3) or 2.5 (out of 5) (Lower second-class)
    • France: Licence (3 years)/ Maitrise/ Diplôme d'Ingénieur - 14 (First-class), 13 (Upper second-class), 11 (Lower second-class)
    • Georgia: 4-year degree (% = new system) - 5 (95%) (First-class), 4.0 (85%) (Upper second-class), 3.5 (75%) (Lower second-class)
    • Germany: German Bachelor/ Diplom, Magister Artium / Zeugnis über den Zweiten Abschnitt der Ärztlichen Prüfung - 1.5 (First-class), 2.5 (Upper second-class), 3.0 (Lower second-class)
    • Ghana: Ghana - First (First-class), Upper second/60% (Upper second-class), Lower second/50% (Lower second-class)
    • Greece: Universities - 8.5 (First-class), 7.0 (Upper second-class), 6 (Lower second-class)
    • Grenada: Degree from University of West Indies - classification - 1st, 70% (GPA 3.6) (First-class), 2:1, 60% (GPA 3.00) (Upper second-class), 2:2, 50% (GPA 2.5) (Lower second-class)
    • Guatemala: Liceniado / Titulo de (subject area) - 4 years - 90% (public university) / 95% (private university) (First-class), 80% (public university) / 85% (private university) (Upper second-class), 60% (public university) / 70% (private university) (Lower second-class)
    • Guyana: Master's - GPA 4 (First-class), GPA 3.5 (Upper second-class), 3.0 (Lower second-class)
    • Honduras: Título de Licenciado / Grado Académico de Licenciatura (4 year degree) - GPA out of 5 - GPA 5 or 90% (First-class), GPA 4 or 80% (Upper second-class), GPA 3.5 or 70% (Lower second-class)
    • Hong Kong: 1st or 3.5/4 (First-class), 2:1or 3/4 (Upper second-class), 2:2 or 2.5/4 (Lower second-class)
    • Hungary: Alapfokozt or Egyetemi Oklevel / Bachelor - 4.5 (First-class), 3.5 (Upper second-class), 3 (Lower second-class)
    • Iceland: Baccalaurreatus degree or Kandidatsprof/Candidatus Mag - 8.5 (First-class), 7.5 (Upper second-class), 6.5 (Lower second-class)
    • India: Institutions listed on the National Institutional Ranking Framework - 65% (First) (First-class), 60% (First) (Upper second-class), 55% (Upper second) (Lower second-class)
    • Indonesia: Sarjana I (S1) from accredited Universities - 3.3 (First-class), 3.0 (Upper second-class), 2.8 (Lower second-class)
    • Iran: Iran - 17 (First-class), 15 (Upper second-class), 13 (Lower second-class)
    • Iraq: Iraq - 80% (First-class), 75% (Upper second-class), 70% (Lower second-class)
    • Ireland: Republic of Ireland - First (70%) (First-class), Upper second (60%) (Upper second-class), Lower second (50%) (Lower second-class)
    • Israel: 3 yr Bachelor Degree - 90% (First-class), 80% (Upper second-class), 70% (Lower second-class)
    • Italy: Diploma di Laurea - 109/110 (First-class), 100/110 (Upper second-class), 90/110 (Lower second-class)
    • Ivory Coast: Diplome d'Etude Approfondies, Diplome d'Etude Superieures or Diplome d'Etude Superieures - 16 (First-class), 14 (Bien) (Upper second-class), 12 (Assez Bien) (Lower second-class)
    • Jamaica: For degrees studied at The University of West Indies or degrees accredited by UCJ and CCCJ - 1st (GPA 3.6) (First-class), 2:1 (GPA 3.0) (Upper second-class), 2:2, 50% (GPA 2.5) (Lower second-class)
    • Japan: Gakushi – GPA 4.0 scale - 85% or A or 3.5 (First-class), 80% or B or 3.0 (Upper second-class), 70% or C or 2.0 (Lower second-class)
    • Jordan: GPA 4.0 scale - 3.5 (First-class), 3 or 3.5/5 or 75% (Upper second-class), 2.5 (or 3.0/5) / 63% (Lower second-class)
    • Kazakhstan: GPA 5.0/percentage scale - 4.5 or 90% (First-class), 4 or 85% (Upper second-class), 3.5 or 80% (Lower second-class)
    • Kenya: Kenya - First / 70% / A (First-class), Upper second / 60% / B (Upper second-class), Lower second / 50% / C (Lower second-class)
    • Kosovo: Kosovo - 10 (First-class), 9 (Upper second-class), 8 (Lower second-class)
    • Kuwait: GPA 4.0 scale - 3.5 (First-class), 3.0 (Upper second-class), 2.6 (Lower second-class)
    • Latvia: Latvia - 9 (First-class), 7 (Upper second-class), 6 (Lower second-class)
    • Lebanon: American - 90% (3.5) (First-class), 80% (3.2) (Upper second-class), 70% (2.8) (Lower second-class)
    • Liberia: Master's - 4.0 or 90% (First-class), 3.5 or 85% (Upper second-class), 3 or 80% (Lower second-class)
    • Libya: BSc Engineering, Architecture, Medicine - 85 (3.6) (First-class), 75 (3.0) (Upper second-class), 65 (2.5) (Lower second-class)
    • Lithuania: Lithuania - 9 (First-class), 8 (Upper second-class), 7 (Lower second-class)
    • Luxembourg: Luxembourg - 18 (excellent) (First-class), 16 (tres Bien) (Upper second-class), 14 (bien) (Lower second-class)
    • Macau: Macau - 1st or GPA 3.7 (First-class), 2:1 or GPA 3.0 (Upper second-class), 2:2 or GPA 2.5 (Lower second-class)
    • Macedonia: Magistar Дипломиран / Баццалауреус / Баццалауреа (Bachelor degree) - 10 (First-class), 9 (Upper second-class), 8 (Lower second-class)
    • Malawi: Master's only - MSc 75% (First-class), MSc 70% (Upper second-class), MSc 65% (Lower second-class)
    • Malaysia: Classification - First Class (First-class), 2.1 (Upper second-class), GPA 2.5 (Lower second-class)
    • Malta: Malta - 1st (80%) (First-class), 2:1 (70%) (Upper second-class), 2:2 (55%) (Lower second-class)
    • Mauritius: Mauritius - 1st or 70% (First-class), 2:1 or 60% (Upper second-class), 2:2 or 50% (Lower second-class)
    • Mexico: Licenciatura / Licenciado/ Título (Profesional) de [subject area] - 8.5 (First-class), 8 (Upper second-class), 7 (Lower second-class)
    • Moldova: Diploma de Licenţă (Diploma of Licentiate) - 9 (First-class), 8 (Upper second-class), 7 (Lower second-class)
    • Mongolia: Диплом Специалиста (Specialist Diploma) - 90% or 3.5 (First-class), 80% or GPA 3.2 (Upper second-class), 70% or GPA 3.0 (Lower second-class)
    • Montenegro: Diploma of Completed Undergraduate Studies or Diploma of Professional Undergraduate Studies - 10 (or 5.0) (First-class), 9 (or 4.5) (Upper second-class), 8 (or 4.0) (Lower second-class)
    • Morocco: Diplôme d'Ingénieur d'État, Diplôme d'Écoles Nationales de Commerce et de Gestion, Licence / Licence d'Études Fondamentales / Licence Professionnelle - 16 (First-class), 14 (Upper second-class), 12 (Lower second-class)
    • Mozambique: Mestrado/ Grau de Mastre - 16 (First-class), 14 (Upper second-class), 12 (Lower second-class)
    • Myanmar (Burma): 2 year Master's degree - 5 or 85% (First-class), 5 or 75% (Upper second-class), 4.5 or 65% (Lower second-class)
    • Namibia: 4-year Bachelor Honours (post 2008) or Masters - 80% or A (First-class), 70% or B (Upper second-class), 60% or C (Lower second-class)
    • Nepal: 4 -year professional degree or Masters (after 3-year Bachelor degree) - 80% or 3.7 GPA (First-class), 65% or 3.3 GPA (Upper second-class), 60% or 3.0 GPA (Lower second-class)
    • Netherlands: Netherlands - 8 (First-class), 7 (Upper second-class), 6 (Lower second-class)
    • New Zealand: 4 Year Honours degree (480 credits) - Level 8 - First (7.0) (First-class), Upper Second (6.0) (Upper second-class), Lower Second (4.0) (Lower second-class)
    • Nicaragua: Licenciatura (4 year) - 90% (First-class), 80% (Upper second-class), 70% (Lower second-class)
    • Nigeria: 7 point Scale - 6 (First-class), 5 (Upper second-class), 3.0 (on 5 point scale) (Lower second-class)
    • Norway: Norway - A / 1.8 (First-class), B / 2.3 (Upper second-class), C / 3.0 (Lower second-class)
    • Oman: GPA 4.0 scale - 3.5 (First-class), 3.0 (Upper second-class), 2.5 (Lower second-class)
    • Pakistan: 4 Year degree only (the higher of the 2 options) - A- or GPA 3.7 (First-class), B or GPA 3.0 (Upper second-class), C+ or GPA 2.6 (Lower second-class)
    • Palestine: Bachelor (4-years) - (85%) 3.5 (First-class), (80%) 3.0 (Upper second-class), (70%) 2.5 (Lower second-class)
    • Panama: 4 Year Licenciado / Título de [subject area] - 91 (A) (First-class), 81 (B) (Upper second-class), 71 (C) (Lower second-class)
    • Papua New Guinea: Bachelor (Honours) Degree - 1st (First-class), 2:1 (Upper second-class), 2:2 (Lower second-class)
    • Paraguay: 4 Year Título de Licenciado / Título de [subject area] - 4.5 (85%) (First-class), 4 (80%) (Upper second-class), 3.5 (75%) (Lower second-class)
    • Peru: 4 Year Título de Licenciado / Título de [subject area] - 14 (First-class), 13 (Upper second-class), 12 (Lower second-class)
    • Philippines: Degree from prestigious state universities or Centres of Excellence (COE) - Summa Cum Laude 4.0 / 96% / 1.0 (First-class), Magna cum Laude 3.5 / 92% / 1.5 (Upper second-class), Cum Laude 3.0 / 87%/ 2.0 (Lower second-class)
    • Poland: Bachelor Degree (post 2003) Magister (pre- 2003) - 5 (First-class), 4.5 (Upper second-class), 4 (Lower second-class)
    • Portugal: Diploma de Estudos Superiores Especializados (DESE) or Licenciado - 18 (First-class), 16 (Upper second-class), 14 (Lower second-class)
    • Qatar: GPA 4.0 scale - 3.5 (First-class), 3.0 (Upper second-class), 2.8 (Lower second-class)
    • Romania: Diploma de Licenta/ Diploma de Inginer - 9 (First-class), 8 (Upper second-class), 7 (Lower second-class)
    • Russia: Bakalavr/Specialist Diploma/Magistr - 4.5 (First-class), 4.0 (Upper second-class), 3.5 (Lower second-class)
    • Rwanda: 4 year bachelor (Hons) degree (480 credits) - 1st, 16/20 (80%) (First-class), 2:1,14/20 (70%) (Upper second-class), 2:2, 12/20 (60%) (Lower second-class)
    • Saudi Arabia: GPA 4.0 scale - 3.5 (First-class), 3.0 (Upper second-class), 2.8 (Lower second-class)
    • Senegal: Maitrise, Diplome d'Etude Approfondies, Diplome d'Etude Superieures or Diplome d'Etude Superieures Specialisees - 16/20 or Tres Bien (First-class), 14/20 or Bien (Upper second-class), 12/20 or Assez Bien (Lower second-class)
    • Serbia: Diplomirani/ Bachelor's degree - 9 (First-class), 8 (Upper second-class), 7 (Lower second-class)
    • Sierra Leone: Honours degree or masters - 1st (70%) (First-class), 2:1 (60% or B) (Upper second-class), 2:2 (50% or C) (Lower second-class)
    • Singapore: Bachelor (Hons) - First (First-class), Upper second (Upper second-class), Lower second (Lower second-class)
    • Slovakia: Bakalár (from 2005) Magister / Inzinier - 1.5 or B (First-class), 2.0 or C (Upper second-class), 2.5 or C/high D (Lower second-class)
    • Slovenia: University Diplom - 9 (First-class), 8 (Upper second-class), 7 (Lower second-class)
    • South Africa: Bachelor (Honours) or B Tech after 4 yrs study - 1st or 75% (First-class), 2:1 or 70% (Upper second-class), 2:2 or 60% (Lower second-class)
    • South Korea: GPA out of 4.5 - 3.8 / B+ (First-class), 3.2 / B (Upper second-class), 2.8 / C+ (Lower second-class)
    • Spain: Licenciado / Título de Ingeniero / Título de Arquitecto - 8.5 (First-class), 7 (Upper second-class), 6.5 (Lower second-class)
    • Sri Lanka: 4 year Professional degree or Bachelor Special or Honours degree - 90%, GPA 3.70 (First-class), 80%, GPA 3.30 (Upper second-class), 70%, GPA 3.0 (Lower second-class)
    • Sudan: 4 year degree - 1st, 70%, B+ (First-class), 2:1, 66% (Upper second-class), mid 2:2, 60%, B (Lower second-class)
    • Sweden: Kandidatexamen or Magisterexamen - Overall grade of VG with a minimum of 120 credits at VG (First-class), B or Overall grade of VG with a minimum of 90 credits at VG (Upper second-class), C or Overall grade of G with a minimum of 90 credits at G (Lower second-class)
    • Switzerland: Bachelor Degree, Diplom or Lizentiat (10/6/5) - 10 / 5.5 / 1 (First-class), 8 / 5 / 2 (Upper second-class), 6 / 4 / 3 (Lower second-class)
    • Syria: State universities 4 years of study - 80% (First-class), 70% (Upper second-class), 60% (Lower second-class)
    • Taiwan: Category 1 (4 year degree) - 80% (First-class), 75% (Upper second-class), 70% (Lower second-class)
    • Tajikistan: Диплом специалиста - Specialist Diploma - 5 (First-class), 4.5 (Upper second-class), 4 (Lower second-class)
    • Tanzania: Tanzania - 1st (First-class), 2:1 (Upper second-class), 2:2 (Lower second-class)
    • Thailand: GPA 4.0 scale - 3.5 (First-class), 3.0 (Upper second-class), 2.8 (Lower second-class)
    • Trinidad and Tobago: For degrees studied at The University of West Indies or degrees accredited by ACTT - 1st or GPA 3.6 (First-class), 2:1 or GPA 3.0 (Upper second-class), 2:2 or GPA 2.5 (Lower second-class)
    • Tunisia: Licence, Maîtrise, Diplôme National d'Ingénieu - 16 (tres bien) (First-class), 14 (bien) (Upper second-class), 11 (assez bien) (Lower second-class)
    • Turkey: Lisans Diplomasi or a Műhendis Diplomasi - 3.5 (First-class), 3 (Upper second-class), 2.5 (Lower second-class)
    • Turkmenistan: 4 Yr Bakalavr, Specialist Diploma or Magistr - 5 (First-class), 4.5 (Upper second-class), 4 (Lower second-class)
    • Uganda: Uganda - 1st or 4.4 (First-class), 2:1 or 3.8 (Upper second-class), 2:2 or 3.0 (Lower second-class)
    • Ukraine: Dyplom Magistra or a Bachelors degree (11 / 5) - 4.5 (First-class), 4.0 (Upper second-class), 3.5 (Lower second-class)
    • United Arab Emirates: GPA 4.0 scale - 3.5 (First-class), 3.0 (Upper second-class), 2.6 (Lower second-class)
    • United States of America: GPA 4.0 scale - 3.5 (First-class), 3.2 (Upper second-class), 2.8 (Lower second-class)
    • Uruguay: Licenciado (4 year) - 9 (First-class), 8 (Upper second-class), 7 (Lower second-class)
    • Uzbekistan: Majistr Diplomi / Diplomi (Specialist Diploma) - 90% or GPA 4.5 (First-class), 80% or GPA 4.0 (Upper second-class), 70% or GPA 3.5 (Lower second-class)
    • Venezuela: Licenciado/Professional title. (4 year) - 18/20 or 8/9 (First-class), 16/20 or 7/9 (Upper second-class), 14/20 or 6/9 (Lower second-class)
    • Vietnam: 10-point scale - 8.0 (First-class), 7.0 (Upper second-class), 6.0 (Lower second-class)
    • Zambia: Master's - A or 4.0 or 80% (First-class), B+, 3.5 or 70% (Upper second-class), B or 3.0 or 60% (Lower second-class)
    • Zimbabwe: 3/4 year degree - 1st or 75% (First-class), 2:1 or 65% (Upper second-class), 2:2 or 60% (Lower second-class)

English Language Requirements

Applicants must meet the minimum English language requirements. Further details are available on the International website.


Fees and Funding

Tuition Fees for Entry

UK Fee

£5,006 Full-time degree per annum


International Fee

£28,600 Full-time degree per annum


Fees for the academic year apply to projects starting in October 2025, January 2026, April 2026, and July 2026.


Research Degree Funding

Find out more about research degree funding.


Tuition fees cover the cost of your teaching, assessment, and operating University facilities such as the library, IT equipment, and other support services. University fees and charges can be paid in advance and there are several methods of payment, including online payments and payment by instalment. Fees are reviewed annually and are likely to increase to take into account inflationary pressures.


How to Apply

All applications should be made online. Under programme name, select Physics. Please quote the advertised reference number: PH/IR-SF1/2025 in your application.


To avoid delays in processing your application, please ensure that you submit a CV and the minimum supporting documents.


The following selection criteria will be used by academic schools to help them make a decision on your application. Please note that this criteria is used for both funded and self-funded projects.


Please note, applications for this project are considered on an ongoing basis once submitted and the project may be withdrawn prior to the application deadline, if a suitable candidate is chosen for the project.


Supervisors

Primary supervisor: Ioannis Rousochatzakis


Project Details

The goal of the project is to address the central challenge currently in the field: How one can diagnose emergent Majorana fermions and gauge fields in real materials? The student will combine numerical algorithms (such as coupled cluster methods, large-scale exact diagonalization) and modern statistical sampling methods (based on typicality and thermalisation ideas) with the end goal to extract dynamical response functions that are measured directly in spectroscopic experiments, such as inelastic neutron scattering, Raman scattering, and electron spin


About University

Loughborough University

Overview:

Loughborough University is a public research university located in Loughborough, Leicestershire, England. It is renowned for its strong academic programs, particularly in sports science, engineering, and business. The university boasts a vibrant campus life and a strong focus on research and innovation.

Student Life and Campus Experience:

Loughborough University offers a diverse and engaging campus experience. Students can participate in a wide range of extracurricular activities, including sports, societies, and volunteering opportunities. The university has a strong sporting heritage and is home to world-class facilities. Students can also enjoy a vibrant social scene with numerous bars, restaurants, and events happening on campus.

Key Reasons to Study There:

    World-class facilities:

    Loughborough University boasts state-of-the-art facilities, including a dedicated sports village, a modern library, and cutting-edge research labs.

    Strong academic reputation:

    The university is consistently ranked among the top universities in the UK for its academic excellence.

    Vibrant campus life:

    Students can enjoy a lively and diverse campus community with numerous opportunities for social interaction and personal development.

    Focus on research and innovation:

    Loughborough University is a leading research institution, with a strong focus on tackling real-world challenges.

    Excellent career prospects:

    Graduates from Loughborough University are highly sought after by employers, with strong career prospects in various fields.

Academic Programs:

Loughborough University offers a wide range of undergraduate and postgraduate programs across various disciplines, including:

    Engineering:

    Aerospace, Chemical, Civil, Electrical, Mechanical, and more.

    Business and Economics:

    Accounting, Finance, Management, Marketing, and more.

    Sport Science:

    Exercise Science, Sports Coaching, Sports Management, and more.

    Humanities and Social Sciences:

    Psychology, Sociology, History, and more.

    Science and Technology:

    Chemistry, Physics, Computer Science, and more.

Other:

Loughborough University has a strong commitment to sustainability and social responsibility. The university is actively working towards achieving net-zero carbon emissions and promoting inclusivity and diversity within its community.

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