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Symmetry and Topology in Non-Hermitian Physics
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
Topological Origin of Non-Hermitian Skin Effects.
It is revealed that the skin effect originates from intrinsic non-Hermitian topology, which explains the universal feature of the known skin effect, and leads to new types of the skin effects-symmetry-protected skin effects.
Topology of crystalline insulators and superconductors
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
Topology of nonsymmorphic crystalline insulators and superconductors
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
Bulk-Edge Correspondence for Chern Topological Phases: A Viewpoint from a Generalized Index Theorem
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
Topological crystalline materials: General formulation, module structure, and wallpaper groups
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
Z 2 topology in nonsymmorphic crystalline insulators: Möbius twist in surface states
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
Atiyah-Hirzebruch Spectral Sequence in Band Topology: General Formalism and Topological Invariants for 230 Space Groups
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
Relationship between Symmetry Protected Topological Phases and Boundary Conformal Field Theories via the Entanglement Spectrum
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
Anomalous helical edge states in a non-Hermitian Chern insulator
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