33 citations · 175 across the 20 of their papers we have counts for
20 papers
Classification of Interacting Topological Crystalline Superconductors in Three Dimensions and Beyond
Shang-Qiang Ning, Xing-Yu Ren, Qing-Rui Wang +2
Although classification for free-fermion topological superconductors (TSC) is established, systematically understanding the classification of 3D interacting TSCs remains difficult,…
Detecting underlying symmetry-protected topological phases via strange correlators and edge engineering
Zhe Wang, Longye Lu, Shang-Qiang Ning +4
The vast majority of symmetry-protected topological (SPT) states are difficult to detect, which often leads to their misidentification as ordinary or topologically trivial phases.…
Parity violation as enforced symmetry breaking in 3D fermionic topological order
Shang-Qiang Ning, Yang Qi, Chenjie Wang +1
Symmetry can be intrinsically broken in topological phases due to inherent incompatibilities, a phenomenon known as enforced symmetry breaking (ESB) in the framework of topological…
Surface phase transitions in a (1+1)-dimensional conformal field theory boundary coupled to a (2+1)-dimensional bulk
Zhe Wang, Shang-Qiang Ning, Zenan Liu +4
We design a (2+1))-dimensional [(2+1)D] quantum spin model in which spin-1/2 ladders are coupled through antiferromagnetic Ising interactions. The model hosts a quantum phase trans…
Correspondence of boundary theories between internal and crystalline symmetry protected topological phases
Jian-Hao Zhang, Shang-Qiang Ning
Symmetry-protected topological phases protected by crystalline symmetries and internal symmetries are shown to enjoy a fascinating one-to-one correspondence in classification. Here…
Stacking Group Structure of Fermionic Symmetry-Protected Topological Phases
Xing-Yu Ren, Shang-Qiang Ning, Yang Qi +2
In the past decade, there has been a systematic investigation of symmetry-protected topological (SPT) phases in interacting fermion systems. Specifically, by utilizing the concept…
Gauge Field Induced Chiral Zero Mode in Five-dimensional Yang Monopole Metamaterials
Shaojie Ma, Hongwei Jia, Yangang Bi +5
Owing to the chirality of Weyl nodes characterized by the first Chern number, a Weyl system supports one-way chiral zero modes under a magnetic field, which underlies the celebrate…
Building 1D lattice models with -graded fusion category
Shang-Qiang Ning, Bin-Bin Mao, Chenjie Wang
We construct a family of one-dimensional (1D) quantum lattice models based on -graded unitary fusion category . This family realize an interpolation between the a…
Construction and classification of crystalline topological superconductor and insulators in three-dimensional interacting fermion systems
Jian-Hao Zhang, Shang-Qiang Ning, Yang Qi +1
The natural existence of crystalline symmetry in real materials manifests the importance of understanding crystalline symmetry-protected topological (SPT) phases, especially for in…
Crystalline equivalent boundary-bulk correspondence of two-dimensional topological phases
Jian-Hao Zhang, Shang-Qiang Ning
The boundary of topological phases of matter can manifest its topology nature, which leads to the so-called boundary-bulk correspondence (BBC) of topological phases. In this Letter…
Enforced symmetry breaking by invertible topological order
Shang-Qiang Ning, Yang Qi, Zheng-Cheng Gu +1
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 o…
Anomaly indicators and bulk-boundary correspondences for 3D interacting topological crystalline phases with mirror and continuous symmetries
Shang-Qiang Ning, Bin-Bin Mao, Zhengqiao Li +1
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 g…
Domain Wall Decorations, Anomalies and Spectral Sequences in Bosonic Topological Phases
Qing-Rui Wang, Shang-Qiang Ning, Meng Cheng
In this work we investigate the decorated domain wall construction in bosonic group-cohomology symmetry-protected topological (SPT) phases and related quantum anomalies in bosonic…
Edge theories of 2D fermionic symmetry protected topological phases protected by unitary Abelian symmetries
Shang-Qiang Ning, Chenjie Wang, Qing-Rui Wang +1
Abelian Chern-Simons theory, characterized by the so-called matrix, has been quite successful in characterizing and classifying Abelian fractional quantum hall effect (FQHE) as…
Topological Superconductivity in Doped Symmetry Protected Topological State
Shang-Qiang Ning, Zheng-Xin Liu, Hong-Chen Jiang
We propose an exotic scenario that topological superconductivity can emerge by doping strongly interacting fermionic systems whose spin degrees of freedom form bosonic symmetry pro…
Fractionalization and Anomalies in Symmetry-Enriched U(1) Gauge Theories
Shang-Qiang Ning, Liujun Zou, Meng Cheng
We classify symmetry fractionalization and anomalies in a (3+1)d U(1) gauge theory enriched by a global symmetry group . We find that, in general, a symmetry-enrichment pattern…
Fractionalizing Global Symmetry on Looplike Topological Excitations
Shang-Qiang Ning, Zheng-Xin Liu, Peng Ye
Symmetry fractionalization (SF) on topological excitations is one of the most remarkable quantum phenomena in topological orders with symmetry, i.e., symmetry-enriched topological…
Exactly Solvable Model for Two Dimensional Topological Superconductor
Zitao Wang, Shang-Qiang Ning, Xie Chen
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 constru…
Symmetry Enrichment in Three-Dimensional Topological Phases
Shang-Qiang Ning, Zheng-Xin Liu, Peng Ye
While two-dimensional symmetry-enriched topological phases (s) have been studied intensively and systematically, three-dimensional ones are still open issues. We prop…
Fermionic Symmetry Protected Topological Phase Induced by Interactions
Shang-Qiang Ning, Hong-Chen Jiang, Zheng-Xin Liu
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 studie…