Mon 10:40 - 12:30 & Wed 10:40-11:30 P-422
Girvin, Steven M., and Kun Yang, Modern condensed matter physics, Cambridge University Press, 2019.
"The first principle is that you must not fool yourself, and you are the easiest person to fool".
In-class assignments (ICA) 30%, Midterm (MT) 30%, Final Exam (F) 40% (Total 100).
Letter grades will be given as follows
AA (90), BA (85), BB (80), CB (75), CC(70), DC (65), DD(60), FD(50), FF (0)
Attendance and participation is mandatory for a passing grade independent of exam results.
For term projects, see recommended papers here.
(*) Additional requirements can be posted in case of abuse.
By registration, you are assumed to accept the code of ethics & core values of METU and commit to maintain academic honesty and integrity for this course.
Electronic structure of crystals
Feb 19 Crystal lattices and symmetries (video)
Feb 24 Reciprocal lattice (video) Bloch theorem (video)
Feb 26 Energy bands, cosine potential (video)
Mar 03 Band velocity, Van Hove points, Bloch oscillations (video) Tight binding method (video)
Mar 05 Graphene, 2D Dirac Hamiltonian (video)
Mar 10 Polyacethylene, Su-Schriffier-Heeger model (video) 1D Dirac hamiltonian, mass domain wall, zero mode (video)
Mar 12 Numerical solution of 1D tight-binding Hamiltonians (video)
Mar 17 Time reversal symmetry and Kramers theorem (video)
Electron transport and localization
Mar 17 Semiclassical dynamics (video)
Mar 19 Boltzmann transport, diffusion, Einstein relation (video)
Mar 24 Gauge invariance in quantum mechanics (video) Ahoronov-Bohm effect (video)
Mar 26 Landauer formula, Universal conductance fluctuations (video)
Apr 07 Electron localization in disorder (video) Anderson model (video)
Apr 09 Classical diffusion and random walk (video)
Apr 14 Semiclassical diffusion (video), Quantum correction, weak localization, strong localization (video)
Apr 16 Scaling theory of localization (video)
Midterm (April 16 Take home)
Integer quantum Hall effect
Apr 21 Quantum Hall effect phenomenology (video), Landau gauge and Landau levels (video)
Apr 23 National holiday
Apr 28 Electric field and edges (video), Semiclassical percolation in IQHE (video)
Apr 30 Anomalous QHE in graphene (video)
May 05 Magnetic translations (video), magnetic Bloch bands (video)
May 07 Hofstadler model (video)
Berry phase and Topology
May 12 Berry Phase (video), spin-1/2 Berry phase, magnetic monopole (video)
May 14 Topology of Bloch bands and anomalous velocity (video)
May 19 National holiday
May 21 Chern number, Topological quantization of Hall conductance (video)
May 26 Haldane model, anomalous quantum Hall effect (video) Symmetry protected topology in SSH model, Thouless charge pump (video)
May 28 Quantum spin Hall effect, Kane-Mele model (video)
Final Exam will be held in class. Please refer to METU SIS for time and location.
Makeup exam will be available upon request and it will be conducted as an oral exam.
(**)The content outlined is subject to change depending on our pace in this semester.