Fiches de cours

Introduction to Frustrated Magnetism

PHYS-726

Lecturer(s) :

Mila Frédéric

Language:

English

Frequency

Every 3 years

Remarque

Every 3 years / Next time: Fall 2019

Summary

To provide an introduction to all aspects of the rapidly evolving field of frustrated magnetism: 1) New paradigms: spin liquids, spin ice, topological order, ... 2) Basic models and methods 3) Experimental realizations

Content

1) Introduction: definition and overview of frustration in magnetism
2) Basic models
3) Classical frustrated magnets: ground state degeneracy and ground state correlations
4) Order by disorder: ordering by thermal or quantum fluctuations
5) Spontaneous breaking of translational symmetry: valence-bond solids, magnetization plateaux
6) Broken SU(2) symmetry without magnetic order: nematic order
7) Spin liquids: Resonating-Valence Bond liquids, algebraic order, topological order
8) Conclusion: open issues and perpectives

Keywords

Solid state physics, quantum magnetism, frustration, quantum phase transitions

Learning Prerequisites

Required courses

Basic courses of quantum mechanics, statistical physics and solid state physics

Learning Outcomes

By the end of the course, the student must be able to:

In the programs

    • Semester
    • Exam form
       Oral
    • Credits
      2
    • Subject examined
      Introduction to Frustrated Magnetism
    • Number of places
      30
    • Lecture
      28 Hour(s)

Reference week

 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German