Kursussøgning, efter- og videreuddannelse – Københavns Universitet

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Kursussøgning, efter- og videreuddannelse

Quantum Magnetism

Practical information
Study year 2016/2017
Block 1
Programme level Full Degree Master
Course responsible
  • Kim Lefmann (7-7f7879807481815381757c417e8841777e)
  • The Niels Bohr Institute
Course number: NFYK16002U

Course content

(focus is put differently from year to year but covers)

  • Classical magnetic order, different antiferromagnetic phases

  • Classical phase transitions and critical phenomena

  • Corrections to the classical picture of magnetism (spin wave theory, mean field theory, magnetic thermodynamics, high-temperature expansion)

  • Solvable non-frustrated quantum systems (1D Ising model, 1D Heisenberg chain, Small systems, exact diagonalization, 2D Ising square lattice)

  • Quantum phase transitions (1D Ising transverse field, General picture)

  • Frustration (2D triangular Ising, Anderson RVB,Spin glasses)

  • Experimental techniques (susceptibility, magnetization, heat capacity, Resonant magnetic x-ray scattering, polarized neutron scattering, muon spin rotation)

Learning outcome

The students aquire an understanding of current solved and unsolved problems in many-body quantum mechanics, exemplified in quantum magnets. They also obtain an uderstanding of particular current topics as quantum phase transitions and frustration in magnetism.

The students become proficient with a number of theoretical methods, including mean-field theory, spin wave theory, high-temperature expansion, and exact diagonalization.

In addition, the students are capable of interpreting and modeling data from a number of experimental techniques, including susceptibility, heat capacity, and neutron scattering.

Recommended prerequisites

Knowledge of basic solid state physics and magnetism, corresponding to Magnetism and Magnetic Materials or Condensed Matter Physics 2.

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M.Sc. Physics


Study Board of Physics, Chemistry and Nanoscience

Course type

Single subject courses (day)


Pascale P. Deen, ESS and NBI, Brian Møller Andersen NBI


1 block


---- SKEMA LINK ----

Teaching and learning methods

Lectures, problems, student presentations, and projects (studiekreds)


no limitation




(is picked from)

  • S. Blundell: Magnetism in Condensed matter (background from magnetism course)

  • K. Lefmann: Neutron scattering (magnetism course notes or Neutron course notes)

  • K. Yosida: Theory of Magnetism

  • D.C. Mattis: Magnetism made simple

  • S. Sachdev: Quantum Phase Transitions

  • Original articles


Category Hours
Class Instruction 40
Exercises 40
Colloquia 40
Project work 86
English 206


Type of assessment

Written assignment, 4 weeks
Project report, possibly 2-person groups. The students have 4 weeks (parallel to the teaching) to work on the project, which should be handed in in the exam week.


All aids allowed

Marking scale

passed/not passed

Criteria for exam assessment

The student must demonstrate that they are able to use a majority of the methods, mentioned under learning outcome, to solve a specific research-near problem in quantum magnetism.

Censorship form

No external censorship
The course responsible plus one person.


same as ordinary exam.

A student who has not fulfilled the exam registration requirements (2 presentations) must instead pass an oral test no later than 2 weeks before the re-exam date.

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