About course - General

Topic outline

  • Course Topics

     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.


    • Lecture time/Office hours

      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

      • Exercise


      • Course policy

        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

        • Additional material




        • Course plan



          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.



          • Presentations