4 papers
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…
Crystalline-equivalent topological phases of many-body fermionic systems in one dimension
Chen-Shen Lee, Ken Shiozaki, Chang-Tse Hsieh
We explore one-dimensional fermionic symmetry-protected topological (SPT) phases related by the crystalline equivalence principle. In particular, we study charge-conserving many-bo…