Topological phases protected by point group symmetry
We consider symmetry-protected topological (SPT) phases with crystalline point group
symmetry, dubbed point group SPT (pgSPT) phases. We show that such phases can be …
symmetry, dubbed point group SPT (pgSPT) phases. We show that such phases can be …
Towards a complete classification of symmetry-protected topological phases for interacting fermions in three dimensions and a general group supercohomology …
The classification and construction of symmetry-protected topological (SPT) phases in
interacting boson and fermion systems have become a fascinating theoretical direction in …
interacting boson and fermion systems have become a fascinating theoretical direction in …
Construction and classification of symmetry-protected topological phases in interacting fermion systems
The classification and lattice model construction of symmetry-protected topological (SPT)
phases in interacting fermion systems are very interesting but challenging. In this paper, we …
phases in interacting fermion systems are very interesting but challenging. In this paper, we …
Nonperturbative constraints from symmetry and chirality on Majorana zero modes and defect quantum numbers in (2+ 1) dimensions
In (1+ 1)-dimensional topological phases, unpaired Majorana zero modes (MZMs) can arise
only if the internal symmetry group G f of the ground state splits as G f= G b× Z 2 f, where Z 2 …
only if the internal symmetry group G f of the ground state splits as G f= G b× Z 2 f, where Z 2 …
Intrinsically gapless topological phases
Topology in quantum matter is typically associated with gapped phases. For example, in
symmetry protected topological (SPT) phases, the bulk energy gap localizes edge modes …
symmetry protected topological (SPT) phases, the bulk energy gap localizes edge modes …
Classification of (2+ 1)-dimensional topological order and symmetry-protected topological order for bosonic and fermionic systems with on-site symmetries
In 2+ 1-dimensional space-time, gapped quantum states are always gapped quantum
liquids (GQL) which include both topologically ordered states (with long range …
liquids (GQL) which include both topologically ordered states (with long range …
Dimensional reduction and topological invariants of symmetry-protected topological phases
N Tantivasadakarn - Physical Review B, 2017 - APS
We review the dimensional reduction procedure in the group cohomology classification of
bosonic SPT phases with finite Abelian unitary symmetry group. We then extend this to …
bosonic SPT phases with finite Abelian unitary symmetry group. We then extend this to …
Interacting fermionic symmetry-protected topological phases in two dimensions
We classify and construct models for two-dimensional (2D) interacting fermionic symmetry-
protected topological (FSPT) phases with general finite Abelian unitary symmetry G f. To …
protected topological (FSPT) phases with general finite Abelian unitary symmetry G f. To …
Full commuting projector Hamiltonians of interacting symmetry-protected topological phases of fermions
N Tantivasadakarn, A Vishwanath - Physical Review B, 2018 - APS
Using the decorated domain wall procedure, we construct finite-depth local unitaries that
realize fermionic symmetry-protected topological (SPT) phases. This results in explicit full …
realize fermionic symmetry-protected topological (SPT) phases. This results in explicit full …
Disentangling supercohomology symmetry-protected topological phases in three spatial dimensions
We build exactly solvable lattice Hamiltonians for fermionic symmetry-protected topological
(SPT) phases in (3+ 1) D classified by group supercohomology. A central benefit of our …
(SPT) phases in (3+ 1) D classified by group supercohomology. A central benefit of our …