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Symmetry and Topology in Non-Hermitian Physics

- K. Kawabata, K. Shiozaki, Masahito Ueda, Masatoshi Sato
- Physics, MathematicsPhysical Review X
- 21 December 2018

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… Expand

Topological Origin of Non-Hermitian Skin Effects.

- N. Okuma, K. Kawabata, K. Shiozaki, Masatoshi Sato
- MathematicsPhysical review letters
- 7 October 2019

TLDR

Topology of crystalline insulators and superconductors

- K. Shiozaki, Masatoshi Sato
- Physics
- 13 March 2014

We complete a classification of topological phases and their topological defects in crystalline insulators and superconductors. We consider topological phases and defects described by noninteracting… Expand

Topology of nonsymmorphic crystalline insulators and superconductors

- K. Shiozaki, Masatoshi Sato, Kiyonori Gomi
- Physics
- 4 November 2015

glide, twofold screw, and their magnetic space groups. We nd that the topological periodic table shows modulo-2 periodicity in the number of ipped coordinates under the order-two nonsymmorphic space… Expand

Bulk-Edge Correspondence for Chern Topological Phases: A Viewpoint from a Generalized Index Theorem

- T. Fukui, K. Shiozaki, T. Fujiwara, S. Fujimoto
- Physics, Mathematics
- 20 June 2012

We explore the bulk-edge correspondence for topological insulators (superconductors) without time-reversal symmetry from the viewpoint of the index theorem for open spaces. We assume generic… Expand

Topological crystalline materials: General formulation, module structure, and wallpaper groups

- K. Shiozaki, Masatoshi Sato, Kiyonori Gomi
- Physics
- 30 January 2017

We formulate topological crystalline materials on the basis of the twisted equivariant $K$-theory. Basic ideas of the twisted equivariant $K$-theory is explained with application to topological… Expand

Z 2 topology in nonsymmorphic crystalline insulators: Möbius twist in surface states

- K. Shiozaki, Masatoshi Sato, Kiyonori Gomi
- Physics
- 11 February 2015

It has been known that an anti-unitary symmetry such as time-reversal or charge conjugation is needed to realize Z2 topological phases in non-interacting systems. Topological insulators and… Expand

Atiyah-Hirzebruch Spectral Sequence in Band Topology: General Formalism and Topological Invariants for 230 Space Groups

- K. Shiozaki, Masatoshi Sato, Kiyonori Gomi
- Mathematics
- 19 February 2018

We study the Atiyah-Hirzebruch spectral sequence (AHSS) for equivariant K-theory in the context of band theory. Various notions in the band theory such as irreducible representations at… Expand

Relationship between Symmetry Protected Topological Phases and Boundary Conformal Field Theories via the Entanglement Spectrum

- G. Cho, K. Shiozaki, S. Ryu, A. Ludwig
- Physics
- 21 June 2016

Quantum phase transitions out of a symmetry-protected topological (SPT) phase in (1+1) dimensions into an adjacent, topologically distinct SPT phase protected by the same symmetry or a trivial gapped… Expand

Anomalous helical edge states in a non-Hermitian Chern insulator

- K. Kawabata, K. Shiozaki, Masahito Ueda
- PhysicsPhysical Review B
- 24 May 2018

A non-Hermitian extension of a Chern insulator and its bulk-boundary correspondence are investigated. It is shown that in addition to the robust chiral edge states that reflect the nontrivial… Expand

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