About the course - General

  •  Berry phase, Topological band theory, Quantum Hall effect, Adiabatic pumping and electric polarization, Chern  insulator, Haldane model, Quantum spin Hall effect, Su Schrieffer Heeger model, Topological superconductors, Kitaev chain, Topological semimetals, Graphene.


    • Office hours



      Name DayHours Building/Room Email
      Dganit Meidan XXX XXX54/226dganit@bgu.ac.il

      Lecture time


      GroupLecture Name Day Hours Building/Room
      1 Lecture Dganit MeidanWed. 14:00-17:00 34/XXX
      • Course grade
        • Homework 70%
        • Each student will give a lecture on a related topic 30%

        הרכב הציון בקורס יישמר, אך המטלה המסכמת בקורס עשויה להשתנות בהתאם לתנאים בסוף סמסטר ב

        General


        • Subject list

          Topic

          Resources 

          Second quantization

          Bruus and Flensberg, "Many-Body Quantum Theory in Condensed Matter Physics: An Introduction "

          Berry phase

          Joel Moore, Les Houches lecture notes;  B. Andrei Bernevig, "Topological insulators and topological superconductors"; Xiao Chang and Niu "Berry Phase Effects on Electronic Properties"

          Topological band theory and electric polarization 

          Xiao Chang and Niu "Berry Phase Effects on Electronic Properties"; David Vanderbilt "Berry phases in electronic structure theory"


          SSH model



           Asboth Oroszlany and Palyi "A Short Course on Topological Insulators"; Franz and Molenkamp "Topological insulators" Chap. 1 (C.  Kane)


          Quantum Hall effect



           David Tong: Lectures on the Quantum Hall Effect; R. B. Laughlin Phys. Rev, B23 5632 (1981); B. I. Halperin Phys. Rev. B25 2185 (1982); Thouless, Kohomoto, Nightingale and den Nijs Phys. Rev. Lett. 49, 405 (1982).

          Graphene 


           Castro Neto et al, Rev. Mod. Phys. 81, 109 2009, B. Andrei Bernevig, "Topological insulators and topological superconductors"

          Chern insulator



           Haldane, F. D. M. Phys. Rev. Lett. 61, 2015 (1988).  B. Andrei Bernevig, "Topological insulators and topological superconductors"


           Topological insulators

           C. L. Kane and E. J. Mele Phys. Rev. Lett. 95, 226801 (2005). Liang Fu and C. L. Kane Phys. Rev. B 74, 195312 (2006)

          The ten fold way




          Shinsei Ryu et al. New J. Phys. 12, 065010 (2010); Jeffrey C. Y. Teo and C. L. Kane Phys. Rev. B 82, 115120 (2010) (Appendix A); Recorded lectures by A. Altland @ https://www.youtube.com/channel/UCmebKVQfI67Z6Y5sa9Iv3xg


          Topological Superconductors


           Last two chapters in  B. Andrei Bernevig, "Topological insulators and topological superconductors" by Taylor Hughes. Jason Alicea 2012 Rep. Prog. Phys. 75 076501


          Weyl Semimetals



           David Vanderbilt "Berry phases in electronic structure theory"Ari M. Turner, Ashvin Vishwanath "Beyond Band Insulators: Topology of Semimetals and Interacting Phases", chapter 11 of  "Topological Insulators" edited by Franz and Molenkamp.