1.4k citations · 6k across the 48 of their papers we have counts for
49 papers
Remarks on invertible phases with non-onsite symmetry
Ryohei Kobayashi, Kansei Inamura, Ken Shiozaki
We study invertible phases protected by non-onsite symmetries carrying nontrivial lattice anomaly indices. While lattice anomalies are usually viewed as obstructions to symmetric s…
Higher bracket structure of density operators in Weyl fermion systems and topological insulators
Edwin Langmann, Shinsei Ryu, Ken Shiozaki
We study the algebraic structure of electron density operators in gapless Weyl fermion systems in spatial dimensions and in topological insulators (without any pro…
A discrete formulation of the Kane-Mele invariant
Ken Shiozaki
We present a discrete formulation of the Kane-Mele invariant that is manifestly gauge-independent and quantized.
Higher Berry curvature from matrix product states
Ken Shiozaki, Niclas Heinsdorf, Shuhei Ohyama
The higher Berry curvature was introduced by Kapustin and Spodyneiko as an extension of the Berry curvature in quantum mechanical systems with finite degrees of freedom to quantum…
Discrete Higher Berry Phases and Matrix Product States
Shuhei Ohyama, Yuji Terashima, Ken Shiozaki
A -parameter family of invertible states gives a topological transport phenomenon, similar to the Thouless pumping. As a natural generalization of this, we can consider a family…
Atiyah-Hirzebruch spectral sequence for topological insulators and superconductors: pages for 1651 magnetic space groups
Ken Shiozaki, Seishiro Ono
We compute the pages of the momentum-space and real-space Atiyah-Hirzebruch spectral sequence (AHSS) for topological crystalline insulators and superconductors up to three sp…
Generalized Thouless Pumps in 1+1-dimensional Interacting Fermionic Systems
Shuhei Ohyama, Ken Shiozaki, Masatoshi Sato
The Thouless pump is a phenomenon in which charges are pumped from an edge of a fermionic system to another edge. The Thouless pump has been generalized in various…
Classification of time-reversal symmetric topological superconducting phases for conventional pairing symmetries
Seishiro Ono, Ken Shiozaki, Haruki Watanabe
Based on a recently developed framework, we conduct classifications of time-reversal symmetric topological superconductors with conventional pairing symmetries. Our real-space appr…
Many-body topology of non-Hermitian systems
Kohei Kawabata, Ken Shiozaki, Shinsei Ryu
Non-Hermiticity gives rise to unique topological phases that have no counterparts in Hermitian systems. Such intrinsic non-Hermitian topological phases appear even in one dimension…
On adiabatic cycles of quantum spin systems
Ken Shiozaki
Motivated by the -spectrum proposal of unique gapped ground states by Kitaev, we study adiabatic cycles in gapped quantum spin systems from various perspectives. We give a few e…
Symmetry indicator in non-Hermitian systems
Ken Shiozaki, Seishiro Ono
Recently, topological phases in non-Hermitian systems have attracted much attention because non-Hermiticity sometimes gives rise to unique phases with no Hermitian counterparts. No…
Topological terms of (2+1)d flag-manifold sigma models
Ryohei Kobayashi, Yasunori Lee, Ken Shiozaki +1
We examine topological terms of d sigma models and their consequences in the light of classifications of invertible quantum field theories utilizing bordism groups. In parti…
Symmetry-based approach to nodal structures: Unification of compatibility relations and gapless point classifications
Seishiro Ono, Ken Shiozaki
Determination of the symmetry property of superconducting gaps has been a central issue in studies to understand the mechanisms of unconventional superconductivity. Although it is…
Topological Field Theory of Non-Hermitian Systems
Kohei Kawabata, Ken Shiozaki, Shinsei Ryu
Non-Hermiticity gives rise to unique topological phases without Hermitian analogs. However, the effective field theory has yet to be established. Here, we develop a field-theoretic…
-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups
Seishiro Ono, Hoi Chun Po, Ken Shiozaki
While the symmetry-based diagnosis of topological insulators and semimetals has enabled large-scale discovery of topological materials candidates, the extension of these approaches…
Higher-order non-Hermitian skin effect
Kohei Kawabata, Masatoshi Sato, Ken Shiozaki
The non-Hermitian skin effect is a unique feature of non-Hermitian systems, in which an extensive number of boundary modes appear under the open boundary conditions. Here, we disco…
Topological Origin of Non-Hermitian Skin Effects
Nobuyuki Okuma, Kohei Kawabata, Ken Shiozaki +1
A unique feature of non-Hermitian systems is the skin effect, which is the extreme sensitivity to the boundary conditions. Here, we reveal that the skin effect originates from intr…
Variants of the symmetry-based indicator
Ken Shiozaki
The symmetry-based indicator [H. C. Po, A. Vishwanath, H. Watanabe, Nat. Commun. 8, 50 (2017)] is a practical tool to diagnose topological materials in the band theory. In this not…
The classification of surface states of topological insulators and superconductors with magnetic point group symmetry
Ken Shiozaki
We present the exhaustive classification of surface states of topological insulators and superconductors protected by crystallographic magnetic point group symmetry in three spatia…
Anomaly indicator of rotation symmetry in (3+1)D topological order
Ryohei Kobayashi, Ken Shiozaki
We examine (3+1)D topological ordered phases with rotation symmetry. We show that some rotation symmetric (3+1)D topological orders are anomalous, in the sense that they cann…
Symmetry and Topology in Non-Hermitian Physics
Kohei Kawabata, Ken Shiozaki, Masahito Ueda +1
We develop a complete theory of symmetry and topology in non-Hermitian physics. We demonstrate that non-Hermiticity ramifies the celebrated Altland-Zirnbauer symmetry classificatio…
Many-Body Order Parameters for Multipoles in Solids
Byungmin Kang, Ken Shiozaki, Gil Young Cho
We propose many-body order parameters for bulk multipoles in crystalline systems, which originate from the non-trivial topology of the nested Wilson loop spectrum. The many-body or…
Classification of topological crystalline superconducting nodes on high-symmetry lines: Point nodes, line nodes, and Bogoliubov Fermi surfaces
Shuntaro Sumita, Takuya Nomoto, Ken Shiozaki +1
Recent development in exact classification of a superconducting gap has elucidated various unconventional gap structures, which have not been predicted by the classification of ord…
Glide-symmetric magnetic topological crystalline insulators with inversion symmetry
Heejae Kim, Ken Shiozaki, Shuichi Murakami
It is known that three-dimensional magnetic systems with glide symmetry can be characterized by a topological invariant together with the Chern number associated with the nor…