Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Shang-Qiang Ning"'
Publikováno v:
SciPost Physics, Vol 17, Iss 5, p 125 (2024)
We construct a family of one-dimensional (1D) quantum lattice models based on $G$-graded unitary fusion category $\mathcal{C}_G$. This family realize an interpolation between the anyon-chain models and edge models of 2D symmetry-protected topological
Externí odkaz:
https://doaj.org/article/c5129549253c48e3a6c66459dd04a219
Publikováno v:
Physical Review Research, Vol 5, Iss 2, p 023153 (2023)
It is well known that two-dimensional fermionic systems with a nonzero Chern number must break the time-reversal symmetry, manifested by the appearance of chiral edge modes on an open boundary. Such an incompatibility between topology and symmetry ca
Externí odkaz:
https://doaj.org/article/9561f61d441c480487d5cddd06f58a83
Publikováno v:
Physical Review Research, Vol 2, Iss 4, p 043043 (2020)
We classify symmetry fractionalization and anomalies in a (3+1)d U(1) gauge theory enriched by a global symmetry group G. We find that, in general, a symmetry-enrichment pattern is specified by four pieces of data: ρ, a map from G to the duality sym
Externí odkaz:
https://doaj.org/article/8187b9ce60d74846a8ecb1b5b33d2447
Publikováno v:
Physical Review Research, Vol 2, Iss 2, p 023184 (2020)
We propose an exotic scenario in which topological superconductivity can emerge by doping strongly interacting fermionic systems whose spin degrees of freedom form a bosonic symmetry protected topological (SPT) state. Specifically, we study a one-dim
Externí odkaz:
https://doaj.org/article/d5a9a3b0800b48aebf9f543e212b5076
Publikováno v:
Physical Review B. 104
Abelian Chern-Simons theory, characterized by the so-called $K$ matrix, has been quite successful in characterizing and classifying Abelian fractional quantum Hall effect as well as symmetry protected topological (SPT) phases, especially for bosonic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::836698e7b196bf0c7acbace1912b1e37
https://doi.org/10.1103/physrevb.104.075151
https://doi.org/10.1103/physrevb.104.075151
Publikováno v:
Physical Review B. 104
We derive a series of quantitative bulk-boundary correspondences for 3D bosonic and fermionic symmetry-protected topological (SPT) phases under the assumption that the surface is gapped, symmetric, and topologically ordered, i.e., a symmetry-enriched
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d7d54e987b03c37797935d1352c8710
https://doi.org/10.1103/physrevb.104.075111
https://doi.org/10.1103/physrevb.104.075111
We classify symmetry fractionalization and anomalies in a (3+1)d U(1) gauge theory enriched by a global symmetry group $G$. We find that, in general, a symmetry-enrichment pattern is specified by 4 pieces of data: $\rho$, a map from $G$ to the dualit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0460e432c0de14bdf828462a5a0d141a
In this paper, we present an exactly solvable model for two dimensional topological superconductor with helical Majorana edge modes protected by time reversal symmetry. Our construction is based on the idea of decorated domain walls and makes use of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da5d5490ff39cca43aa73adfa5228d35
While two-dimensional symmetry-enriched topological phases ($\mathsf{SET}$s) have been studied intensively and systematically, three-dimensional ones are still open issues. We propose an algorithmic approach of imposing global symmetry $G_s$ on gauge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42eac21790861b5ac005b4074f3434f7
http://arxiv.org/abs/1609.00985
http://arxiv.org/abs/1609.00985
Strong interactions can give rise to new fermionic symmetry protected topological phases which have no analogs in free fermion systems. As an example, we have systematically studied a spinless fermion model with $U(1)$ charge conservation and time re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de14f394af623a5d76889aa7b0712609