An invitation to topological orders and category theory
L Kong, ZH Zhang - arXiv preprint arXiv:2205.05565, 2022 - arxiv.org
Although it has been a well-known fact, for more than two decades, that category theory is
needed for the study of topological orders, it is still a non-trivial challenge for students and …
needed for the study of topological orders, it is still a non-trivial challenge for students and …
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 …
Faithful derivation of symmetry indicators: A case study for topological superconductors with time-reversal and inversion symmetries
Topological crystalline superconductors have attracted rapidly rising attention due to the
possibility of higher-order phases, which support Majorana modes on boundaries in d− 2 or …
possibility of higher-order phases, which support Majorana modes on boundaries in d− 2 or …
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 …
Effective field theories of topological crystalline insulators and topological crystals
We present a general approach to obtain effective field theories for topological crystalline
insulators whose low-energy theories are described by massive Dirac fermions. We show …
insulators whose low-energy theories are described by massive Dirac fermions. We show …
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 …
Strongly correlated crystalline higher-order topological phases in two-dimensional systems: A coupled-wire study
JH Zhang - Physical Review B, 2022 - APS
Coupled-wire constructions have been widely applied to quantum Hall systems and
symmetry-protected topological (SPT) phases. In this Letter, we use the coupled one …
symmetry-protected topological (SPT) phases. In this Letter, we use the coupled one …
Hybrid-order topological superconductivity in a topological metal 1T'-MoTe2
One key challenge in the field of topological superconductivity (Tsc) has been the rareness
of material realization. This is true not only for the first-order Tsc featuring Majorana surface …
of material realization. This is true not only for the first-order Tsc featuring Majorana surface …
Towards complete characterization of topological insulators and superconductors: A systematic construction of topological invariants based on Atiyah-Hirzebruch …
S Ono, K Shiozaki - arXiv preprint arXiv:2311.15814, 2023 - arxiv.org
The past decade has witnessed significant progress in topological materials investigation.
Symmetry-indicator theory and topological quantum chemistry provide an efficient scheme to …
Symmetry-indicator theory and topological quantum chemistry provide an efficient scheme to …
Topological invariants beyond symmetry indicators: Boundary diagnostics for twofold rotationally symmetric superconductors
Topological crystalline superconductors are known to have possible higher-order topology,
which results in Majorana modes on d− 2 or lower-dimensional boundaries. Given the rich …
which results in Majorana modes on d− 2 or lower-dimensional boundaries. Given the rich …