2 citations · 2 across the 2 of their papers we have counts for
7 papers
A discrete formulation for three-dimensional winding number
Ken Shiozaki
For a smooth map , where is a three-dimensional, oriented, and closed manifold, the winding number is defined as $W_3 = \frac{1}{24Ï^2} \int_{X} \mathrm{Tr}\lef…
Classification of topological insulators and superconductors with multiple order-two point group symmetries
Ken Shiozaki
We present a method for computing the classification groups of topological insulators and superconductors in the presence of point group symmetries, for a…
topological invariant in three-dimensional PT- and PC-symmetric class CI band structures
Ken Shiozaki
We construct a previously missing topological invariant for three-dimensional band structures in symmetry class CI defined by parity-time (PT) and parity-particle-ho…
Equivariant Parameter Families of Spin Chains: A Discrete MPS Formulation
Ken Shiozaki
We analyze topological phase transitions and higher Berry curvature in one-dimensional quantum spin systems, using a framework that explicitly incorporates the symmetry group actio…
A Discrete Formulation of Second Stiefel-Whitney Class for Band Theory
Ken Shiozaki, Jing-Yuan Chen
Topological invariants in band theory are often formulated assuming that Bloch wave functions are smoothly defined over the Brillouin zone (BZ). However, first-principles band calc…
Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases
Chen-Shen Lee, Ken Shiozaki, Chang-Tse Hsieh
We present a framework for investigating the effects of interactions on crystalline symmetry-protected topological (SPT) phases. Within this framework, one can establish a direct c…