Topology
in condensed matter systems
Instructor: 張明哲
Reference: Topological
Insulators and Topological Superconductors, by B.A. Bernevig
(2013)
Grading: Homework (60%); term
report (40%)
TA:
Required
background: Quantum
mechanics, solid state physics
00
Some topology (slides)
01 Review
of Bloch theory
02 Review of
Berry Phase
03 Berry
curvature of Bloch states
04
Quantum anomalous Hall effect
06 Point
degeneracy between energy bands
08 Electromagnetic
response of Weyl semi-metal
Some Review of Modern
Physics papers
Berry phase effects on
electronic properties, by D. Xiao, M.C. Chang, and Q. Niu,
Rev. Mod. Phys. 82, 1959 (2010).
Anomalous Hall effect
, by N. Nagaosa, J. Sinova, S. Onoda, A.H. MacDonald, and N.P. Ong,
Rev. Mod. Phys. 82, 1539 (2010).
Topological insulators,
by M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 82, 3045 (2010).
Topological insulators
and superconductors, by X.L. Qi and S.C. Zhang, Rev. Mod. Phys. 83, 1057
(2011).
Topological
band theory, by A. Bansil, H. Lin and T. Das,
Rev. Mod. Phys. 88, 021004 (2016).
Classification
of topological quantum matter with symmetries, by Ching-Kai
Chiu, Jeffrey C. Y. Teo, Andreas P. Schnyder, and Shinsei Ryu, Rev. Mod. Phys. 88, 035005 (2016).
Weyl and Dirac semimetals
in three-dimensional solids, N. P. Armitage, E. J. Mele,
and Ashvin Vishwanath, Rev.
Mod. Phys. 90 015001 (2018).
Topological photonics,
Tomoki Ozawa, Hannah M. Price, Alberto Amo, Nathan
Goldman, Mohammad Hafezi, Ling Lu, Mikael C. Rechtsman, David Schuster, Jonathan Simon, Oded Zilberberg, and Iacopo Carusotto, Rev. Mod.
Phys. 91 015006 (2019).
Topological bands for
ultracold atoms, N. R. Cooper, J. Dalibard, and
I. B. Spielman, Rev. Mod. Phys. 91 015005
(2019).
Experimental perspective on
three-dimensional topological semimetals, B. Q. Lv,
T. Qian, and H. Ding, Rev. Mod. Phys. 93 025002 (2021).
Exceptional topology of
non-Hermitian systems, Emil J. Bergholtz, Jan
Carl Budich, and Flore K. Kunst,
Rev. Mod. Phys. 93 015005 (2021).
Quantum anomalous Hall effect
, C. Z. Chang, C. X.
Liu, and A. H. MacDonald,
Rev. Mod. Phys. 95 011002 (2023).