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
Symmetry-Protected Scattering in Non-Hermitian Linear Systems
Sign Up to like & getrecommendations! Published in 2021 at "Chinese Physics Letters"
DOI: 10.1088/0256-307x/38/2/024202
Abstract: Symmetry plays fundamental role in physics and the nature of symmetry changes in non-Hermitian physics. Here the symmetry-protected scattering in non-Hermitian linear systems is investigated by employing the discrete symmetries that classify the random matrices.… read more here.
Keywords: hermitian linear; physics; non hermitian; linear systems ... See more keywords
Perturbation theories for symmetry-protected bound states in the continuum on two-dimensional periodic structures
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review A"
DOI: 10.1103/physreva.101.043827
Abstract: On dielectric periodic structures with a reflection symmetry in a periodic direction, there can be antisymmetric standing waves (ASWs) that are symmetry-protected bound states in the continuum (BICs). The BICs have found many applications, mainly… read more here.
Keywords: protected bound; bound states; periodic structures; resonant modes ... See more keywords
Symmetry-Protected Zero Modes in Metamaterials Based on Topological Spin Texture
Sign Up to like & getrecommendations! Published in 2020 at "Physical review applied"
DOI: 10.1103/physrevapplied.13.064058
Abstract: We predict the emergence of second-order topological insulators in the dynamics of spin-texture-based metamaterials. We propose that the quantized Chern number and the ${\mathbb{Z}}_{6}$ Berry phase can completely characterize the nontrivial topology. By studying the… read more here.
Keywords: symmetry protected; spin texture; symmetry; zero modes ... 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
Quantum scars and bulk coherence in a symmetry-protected topological phase
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.104.014424
Abstract: Formation of quantum scars in many-body systems provides a novel mechanism for enhancing coherence of weakly entangled states. At the same time, coherence of edge modes in certain symmetry protected topological (SPT) phases can persist… read more here.
Keywords: many body; quantum scars; cluster; coherence ... See more keywords
Fate of symmetry protected coherence in open quantum system
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.104.094306
Abstract: We investigate the fate of coherence in the dynamical evolution of a symmetry protected quantum system. Under the formalism of system-plus-bath for open quantum system, the anti-unitary symmetry exhibits significant difference from the unitary one… read more here.
Keywords: system; coherence; symmetry; symmetry protected ... 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