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Topological phases in non-Hermitian models: A perspective on unconventional invariants, classifying symmetries, and open questions
Date: 2018-06-04
Time: 15:00
Venue: M楼 830会议室
Speaker: Dr. Simon Lieu

Blackett Laboratory, Imperial College London, London, United Kingdom

摘要: Systems which exhibit gain/loss can often be described by effective Hamiltonians which are non-Hermitian. In this talk, I will review recent advances in our understanding of symmetry-protected topological phase transitions in the absence of Hermiticity. As a starting point, I shall describe results concerning non-Hermitian generalizations of the paradigmatic Su-Schrieffer-Heeger (SSH) model. This minimal model has shed light on several unique features that have no conventional counterparts. These include: gapless spectra away from topological transition points, new symmetries responsible for edge mode stability, invariants related to exceptional points, and anomalous bulk-boundary correspondence. Various flavors of "pseudo-Hermiticity" appear important in protecting the topological phases. I suggest a symmetry classification which may form the basis towards a generalization of the standard "ten-fold way". This presentation aims to provide an overview of recent results, as well as an outlook for future research directions in this rapidly-growing field.

邀请人: 陈澍

The Institute of Physics, Chinese Academy of Sciences P.O.Box 603,Beijing 100190,China
Tel:86-10-82649361 Fax:86-10-82649531 email: zhoumb@aphy.iphy.ac.cn
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