Symmetric mass generation of Kähler-Dirac fermions from the perspective of symmetry-protected topological phases
The Kähler-Dirac fermion, recognized as an elegant geometric approach, offers an
alternative to traditional representations of relativistic fermions. Recent studies have …
alternative to traditional representations of relativistic fermions. Recent studies have …
Real-space construction of crystalline topological superconductors and insulators in 2d interacting fermionic systems
The construction and classification of crystalline symmetry protected topological (SPT)
phases in interacting bosonic and fermionic systems have been intensively studied in the …
phases in interacting bosonic and fermionic systems have been intensively studied in the …
Construction and classification of crystalline topological superconductor and insulators in three-dimensional interacting fermion systems
The natural existence of crystalline symmetry in real materials manifests the importance of
understanding crystalline symmetry-protected topological (SPT) phases, especially for …
understanding crystalline symmetry-protected topological (SPT) phases, especially for …
Invertible phases for mixed spatial symmetries and the fermionic crystalline equivalence principle
A Debray - arXiv preprint arXiv:2102.02941, 2021 - arxiv.org
Freed-Hopkins give a mathematical ansatz for classifying gapped invertible phases of matter
with a spatial symmetry in terms of Borel-equivariant generalized homology. We propose a …
with a spatial symmetry in terms of Borel-equivariant generalized homology. We propose a …
Symmetry, topology, duality, chirality, and criticality in a spin- XXZ ladder with a four-spin interaction
M Fontaine, K Sugimoto, S Furukawa - Physical Review B, 2024 - APS
We study the ground-state phase diagram of a spin-1 2 XXZ model with a chirality-chirality
interaction (CCI) on a two-leg ladder. This model offers a minimal setup to study an interplay …
interaction (CCI) on a two-leg ladder. This model offers a minimal setup to study an interplay …
Symmetry invariants and classes of quasiparticles in magnetically ordered systems having weak spin-orbit coupling
Symmetry invariants of a group specify the classes of quasiparticles, namely the classes of
projective irreducible co-representations in systems having that symmetry. More symmetry …
projective irreducible co-representations in systems having that symmetry. More symmetry …
Exactly solvable lattice models for interacting electronic insulators in two dimensions
In the past decade, tremendous efforts have been made towards understanding fermionic
symmetry-protected topological (FSPT) phases in interacting systems. Nevertheless, for …
symmetry-protected topological (FSPT) phases in interacting systems. Nevertheless, for …
Tensor network representations of fermionic crystalline topological phases on two-dimensional lattices
We investigate the tensor network representations of fermionic crystalline symmetry-
protected topological (SPT) phases on two-dimensional lattices. As a mapping from virtual …
protected topological (SPT) phases on two-dimensional lattices. As a mapping from virtual …
Quantum Many-Body Lattice CRT Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation
Charge conjugation (C), mirror reflection (R), and time reversal (T) symmetries, along with
internal symmetries, are essential for massless Majorana and Dirac fermions. These …
internal symmetries, are essential for massless Majorana and Dirac fermions. These …