Topological Insulators, Superconductors, and Computing

Notes

• Path Ordering for the Wilzcek-Zee Phase: Merely a brief note explaining why the path ordering is necessary in the Wilczek-Zee phase.

References

• Di Xiao, Ming-Che Chang, and Qian Niu, Rev. Mod. Phys. 82, 1959 (2010), "Berry Phase Effects on Electronic Properties"

• Ran Cheng, arXiv:1012.1337, "Quantum Geometric Tensors (Fubini-Study Metrics) in Simple Quantum Systems: A Pedagogical Introduction)"

• Topological Insulators and Topological Superconductors by B. Andrei Bernevig and Taylor L. Hughes

• Topological Insulators by Shun-Qing Shen

• A Short Course on Topological Insulators by János Asbóth, László Oroszlány, and András Pályi

• Geometric Phases in Classical and Quantum Mechanics by Dariusz Chruściński and Andrzej Jamiołkowski

• Jean-Nöel Fuchs, arXiv:1306.0380, "Dirac Fermions in Graphene and Analogues"

• Raffaele Resta, J. Phys.: Condens. Matter 12, R107, "Manifestations of Berry's Phase in Molecules and Condensed Matter"

• Quantum Theory Meets Quantum Matter by Bei Zeng et al.

• Introduction to Topological Quantum Computation by Jiannis K. Pachos

• Mathematical Aspects of Quantum Computing 2007, edited by Mikio Nakahara, Robabeh Rahimi, Akira SaiToh

• Holographic Quantum Matter by Sean Hartnoll, Andrew Lucas, and Subir Sachdev

• Topological Quantum Computation by Zhengshan Wang

• Yizhi You, F. J. Burnell, and Taylor Hughes, arXiv:1909.05868, "Multipolar Topological Field Theories"