Symmetry and Topology in Non-Hermitian Physics
The University of Tokyo · Kyoto University · +1 more institution
Abstract
Non-Hermiticity enriches topological phases beyond the existing Hermitian framework. Whereas their unusual features with no Hermitian counterparts were extensively explored, a full understanding about the role of symmetry in non-Hermitian physics has still been elusive, and there remains an urgent need to establish their topological classification in view of rapid theoretical and experimental progress. Here, we develop a complete theory of symmetry and topology in non-Hermitian physics. We demonstrate that non-Hermiticity ramifies the celebrated Altland-Zirnbauer symmetry classification for insulators and superconductors. In particular, charge conjugation is defined in terms of transposition rather than…
Citation impact
- FWCI
- 82.91
- Percentile
- 100%
- References
- 335
Authors
4Topics & keywords
- Physics
- Hermitian matrix
- Topology (electrical circuits)
- Symmetry (geometry)
- Homogeneous space
- Quantum mechanics
- Theoretical physics
- Geometry
Funding
- ICInternational Centre for Theoretical SciencesAward: ICTS/nhp2018/06
- JSJapan Society for the Promotion of ScienceAwards: JP15H05855, JPMJPR18L4, JP17H02922, JP19J21927, JP18H01145
- JSJapan Science and Technology AgencyAward: JPMJPR18L4
- PRPrecursory Research for Embryonic Science and TechnologyAward: JPMJPR18L4