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This is a colloquium in Physics and Mathematics, organised biannually in Strasbourg by a group of scientists from IRMA, ISIS and IPCMS. This third session is devoted to "Majorana fermions and Particle-Hole Symmetries".

Organizers : N. Anantharaman, R. Côte, S. Klevtsov, Y. Le Floch, C. Tauber, M. Vogel, X. Zeng (IRMA) — G. Pupillo, J. Schachenmayer (ISIS) — P.-A. Hervieux, R. Jalabert, G. Manfredi, G. Weick, D. Weinmann (IPCMS)

Speakers :

  • Felix von Oppen (Freie Universität Berlin)
  • Martin Zirnbauer (Universität Köln)

Location : Salle de conferences IRMA

For practical and other questions please contact the organizers.

  • Vendredi 20 mai 2022

  • 09:30

    Felix Von Oppen, Freie Universität Berlin

    From Majorana wires to topological quantum computation

    In recent years, Majorana zero modes have attracted considerable attention as a possible basis for topological quantum information processing. In this talk, I will review the underlying ideas and discuss possible routes towards a Majorana-based quantum computer.
  • 10:30

    Pause Café

  • 11:00

    Martin Zirnbauer, Universität Köln

    Particle-Hole Symmetries in Condensed Matter

    Building on Dyson´s "Threefold Way" of random-matrix ensembles, the "Tenfold Way" classifies free-fermion Hamiltonians with symmetries. Originally conceived for disordered systems, the scheme was later found to have a bearing on the classification of topological phases of matter. In this talk, I will review the history of the Tenfold Way, with an emphasis on the distinction between "symmetry" and "structure". Along the way, I will clarify the difference between charge conjugation and particle-hole symmetries. I will also touch on (i) the celebrated Haldane phase as a topological phase protected by a particle-hole symmetry, and (ii) the striking phenomenon that fermion-vortex duality in 2+1 dimensions exchanges particle-hole conjugation with time-reversal symmetry.
  • 12:00