The classification of symmetry protected topological phases of one-dimensional fermion systems
Sign Up to like & getrecommendations! Published in 2021 at "Forum of Mathematics, Sigma"
DOI: 10.1017/fms.2021.19
Abstract: Abstract We introduce an index for symmetry-protected topological (SPT) phases of infinite fermionic chains with an on-site symmetry given by a finite group G. This index takes values in $\mathbb {Z}_2 \times H^1(G,\mathbb {Z}_2) \times… read more here.
Keywords: protected topological; symmetry protected; topological phases; symmetry ... See more keywords
Computing Classification of Interacting Fermionic Symmetry-Protected Topological Phases Using Topological Invariants
Sign Up to like & getrecommendations! Published in 2021 at "Chinese Physics Letters"
DOI: 10.1088/0256-307x/38/12/127101
Abstract: In recent years, great success has been achieved on the classification of symmetry-protected topological (SPT) phases for interacting fermion systems by using generalized cohomology theory. However, the explicit calculation of generalized cohomology theory is extremely… read more here.
Keywords: interacting fermionic; topological invariants; protected topological; symmetry ... See more keywords
Classification and surface anomaly of glide symmetry protected topological phases in three dimensions
Sign Up to like & getrecommendations! Published in 2017 at "New Journal of Physics"
DOI: 10.1088/1367-2630/aa769b
Abstract: We study glide protected topological (GSPT) phases of interacting bosons and fermions in three spatial dimensions with certain on-site symmetries. They are crystalline SPT phases, which are distinguished from a trivial product state only in… read more here.
Keywords: protected topological; gspt phases; surface; glide symmetry ... See more keywords
Symmetry-protected topological phases in a two-leg SU(N) spin ladder with unequal spins
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review B"
DOI: 10.1103/physrevb.101.195121
Abstract: Chiral Haldane phases are examples of one-dimensional topological states of matter which are protected by projective SU($N$) group (or its subgroup $\mathbb{Z}_N \times \mathbb{Z}_N$) with $N>2$. The unique feature of these symmetry protected topological (SPT)… read more here.
Keywords: protected topological; leg spin; spin ladder; symmetry ... See more keywords
Field theories for gauged symmetry-protected topological phases: Non-Abelian anyons with Abelian gauge group Z2 - 3
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review B"
DOI: 10.1103/physrevb.95.035131
Abstract: Dijkgraaf-Witten (DW) theories are of recent interest to the condensed matter community, in part because they represent topological phases of matter, but also because they characterize the response theory of certain symmetry protected topological (SPT)… read more here.
Keywords: protected topological; non abelian; symmetry protected; topological phases ... See more keywords
One-dimensional symmetry protected topological phases and their transitions
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review B"
DOI: 10.1103/physrevb.96.165124
Abstract: We present a unified perspective on symmetry protected topological (SPT) phases in one dimension and address the open question of what characterizes their phase transitions. In the first part of this work we use symmetry… read more here.
Keywords: protected topological; phase; symmetry protected; one dimensional ... See more keywords
Renormalization group approach to symmetry protected topological phases
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review B"
DOI: 10.1103/physrevb.97.155151
Abstract: A defining feature of a symmetry protected topological phase (SPT) in one dimension is the degeneracy of the Schmidt values for any given bipartition. For the system to go through a topological phase transition separating… read more here.
Keywords: protected topological; renormalization group; symmetry protected; group approach ... See more keywords
Full commuting projector Hamiltonians of interacting symmetry-protected topological phases of fermions
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review B"
DOI: 10.1103/physrevb.98.165104
Abstract: Author(s): Tantivasadakarn, N; Vishwanath, A | Abstract: © 2018 American Physical Society. 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… read more here.
Keywords: protected topological; commuting projector; symmetry protected; full commuting ... See more keywords
Symmetry-protected topological phases in lattice gauge theories: Topological QED2
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review D"
DOI: 10.1103/physrevd.99.014503
Abstract: The interplay of symmetry, topology, and many-body effects in the classification of phases of matter poses a formidable challenge in condensed-matter physics. Such many-body effects are typically induced by inter-particle interactions involving an action at… read more here.
Keywords: phases lattice; lattice gauge; protected topological; topological phases ... See more keywords
Fingerprints of a Bosonic Symmetry-Protected Topological State in a Quantum Point Contact.
Sign Up to like & getrecommendations! Published in 2017 at "Physical review letters"
DOI: 10.1103/physrevlett.118.216803
Abstract: In this work, we study the transport through a quantum point contact for bosonic helical liquid that exists at the edge of a bilayer graphene under a strong magnetic field. We identify "smoking gun" transport… read more here.
Keywords: state; protected topological; symmetry protected; quantum point ... See more keywords
Hidden Order and Symmetry Protected Topological States in Quantum Link Ladders.
Sign Up to like & getrecommendations! Published in 2017 at "Physical review letters"
DOI: 10.1103/physrevlett.119.180402
Abstract: We show that, whereas spin-1/2 one-dimensional U(1) quantum-link models (QLMs) are topologically trivial, when implemented in ladderlike lattices these models may present an intriguing ground-state phase diagram, which includes a symmetry protected topological (SPT) phase… read more here.
Keywords: protected topological; quantum link; symmetry protected; order symmetry ... See more keywords