NFYK16002U Quantum Magnetism
MSc Programme in Physics
The course covers modern developments in quantum magnetism, introducing concepts, theory, numerical tools, and experimental techniques. The course comprises:
- Corrections to the classical picture of magnetism (spin wave theory, bound spin waves, phase transitions, and magnetic thermodynamics)
- Solvable quantum systems (1D Ising model, 1D XY chain, 1D Heisenberg chain, Small systems, dimerized systems, 2D Ising model on the square lattice)
- Quantum phase transitions (the general concept, 1D Ising model in a transverse field, 2D and 3D systems, complex systems, e.g. superconductivity)
- Frustration (2D triangular Ising model, Anderson RVB, Order from disorder, Spin liquid and spin ice)
- Numerical techniques (Spin wave theory code SpinW, Exact diagonalization code RLexact, high-temperature expansion, Quantum Monte Carlo code ALPS)
Experimental techniques (susceptibility and magnetization, heat capacity, NMR, muon spin rotation, neutron scattering)
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
See Absalon for final course material.
- 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
see learning outcome
Course information
- Language
- English
- Course code
- NFYK16002U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 4
- 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
Contracting faculty
- Faculty of Science
Course Coordinators
- Kim Lefmann (7-70696a716572724472666d326f7932686f)
Lecturers
Pascale P. Deen, ESS and NBI