NFYK16002U Quantum Magnetism
M.Sc. Physics
(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)
Knowledge:
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.
Skills:
The students become proficient with a number of theoretical
methods, including mean-field theory, spin wave theory,
high-temperature expansion, and exact diagonalization.
Competences:
In addition, the students are capable of interpreting and modeling
data from a number of experimental techniques, including
susceptibility, heat capacity, and neutron
scattering.
(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
- Colloquia
- 40
- Exercises
- 40
- Project work
- 86
- Total
- 206
As
an exchange, guest and credit student - click here!
Continuing Education - click here!
- Credit
- 7,5 ECTS
- Type of assessment
- Written assignment, 4 weeksProject 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.
- Exam registration requirements
2 student presentations
- Aid
- All aids allowed
- Marking scale
- passed/not passed
- Censorship form
- No external censorship
The course responsible plus one person.
- Re-exam
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.
Criteria for exam assesment
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.
Course information
- Language
- English
- Course code
- NFYK16002U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 1
- Schedule
- C
- Course capacity
- no limitation
- Continuing and further education
- Study board
- Study Board of Physics, Chemistry and Nanoscience
Contracting department
- The Niels Bohr Institute
Course responsibles
- Kim Lefmann (7-736c6d746875754775697035727c356b72)
Lecturers
Pascale P. Deen, ESS and NBI, Brian Møller Andersen NBI