88 citations · 370 across the 26 of their papers we have counts for
26 papers
-type Lieb-Schultz-Mattis anomalies, deconfined quantum critical points, and non-invertible symmetry breaking
Hao-Ran Zhang, Hanlin Lin, Shuo Yang +1
We study deconfined quantum critical points (DQCP) associated with Lieb-Schultz-Mattis (LSM) anomalies in one-dimensional spin chains. Our starting point is a structural characteri…
Towards transistor-based quantum computing
Y. -D. Liu, X. Xu, Q. -R. Wang +1
In this work, we propose and study in depth a universal quantum computing architecture based on a quantum construction of transistors. Our teleportation-based quantum transistors,…
Non-invertible symmetries and mixed anomalies from conserved current construction in (3+1)D twisted topological quantum field theories
Zhi-Feng Zhang, Yizhou Huang, Qing-Rui Wang +1
We develop a current-based construction of generalized symmetries in D twisted topological quantum field theories (TQFTs), focusing on intrinsically non-invertible high…
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,…
Microscopic Constructions of the Topological Field Theory and Borromean-Rings Braiding in Dimensions
Yizhou Huang, Zhi-Feng Zhang, Qing-Rui Wang +1
Topological order was first studied in fractional quantum Hall states, where anyons reflect electron fractionalization. Recent advances in continuum topological field theories have…
Systematic Construction of Interfaces and Anomalous Boundaries for Fermionic Symmetry-Protected Topological Phases
Kevin Loo, Qing-Rui Wang
We use the pullback trivialization technique to systematically construct gapped interfaces and anomalous boundaries for fermionic symmetry-protected topological (FSPT) states by ex…
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…
Para-fusion Category and Topological Defect Lines in -parafermionic CFTs
Jin Chen, Babak Haghighat, Qing-Rui Wang
We study topological defect lines (TDLs) in two-dimensional -parafermoinic CFTs. Different from the bosonic case, in the 2d parafermionic CFTs, there exist parafermion…
Continuum field theory of 3D topological orders with emergent fermions and braiding statistics
Zhi-Feng Zhang, Qing-Rui Wang, Peng Ye
Universal topological data of topologically ordered phases can be captured by topological quantum field theory in continuous space time by taking the limit of low energies and long…
Non-Abelian Fusion, Shrinking and Quantum Dimensions of Abelian Gauge Fluxes
Zhi-Feng Zhang, Qing-Rui Wang, Peng Ye
Braiding and fusion rules of topological excitations are indispensable topological invariants in topological quantum computation and topological orders. While excitations in 2D are…
Exactly solvable lattice models for interacting electronic insulators in two dimensions
Qing-Rui Wang, Yang Qi, Chen Fang +2
In the past decade, tremendous efforts have been made towards understanding fermionic symmetry protected topological (FSPT) phases in interacting systems. Nevertheless, for systems…
Towards a complete classification of non-chiral topological phases in 2D fermion systems
Jing-Ren Zhou, Qing-Rui Wang, Zheng-Cheng Gu
In recent years, fermionic topological phases of quantum matter has attracted a lot of attention. In a pioneer work by Gu, Wang and Wen, the concept of equivalence classes of fermi…
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…
Computing classification of interacting fermionic symmetry-protected topological phases using topological invariants
Yunqing Ouyang, Qing-Rui Wang, Zheng-Cheng Gu +1
In recent years, great success has been achieved on the classification of symmetry-protected topological (SPT) phases for interacting fermion systems by using generalized cohomolog…
Non-Abelian Three-Loop Braiding Statistics for 3D Fermionic Topological Phases
Jing-Ren Zhou, Qing-Rui Wang, Chenjie Wang +1
Fractional statistics is one of the most intriguing features of topological phases in 2D. In particular, the so-called non-Abelian statistics plays a crucial role towards realizing…
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…
Construction and classification of point group symmetry protected topological phases in 2D interacting fermionic systems
Jian-Hao Zhang, Qing-Rui Wang, Shuo Yang +2
The construction and classification of symmetry-protected topological (SPT) phases in interacting bosonic and fermionic systems have been intensively studied in the past few years.…
Single-hole wave function in two dimensions: A case study of the doped Mott insulator
Shuai Chen, Qing-Rui Wang, Yang Qi +2
We study a ground-state ansatz for the single-hole doped - model in two dimensions via a variational Monte Carlo (VMC) method. Such a single-hole wave function possesses fini…
Construction and classification of symmetry protected topological phases in interacting fermion systems
Qing-Rui Wang, Zheng-Cheng Gu
The classification and lattice model construction of symmetry protected topological (SPT) phases in interacting fermion systems are very interesting but challenging. In this paper,…
Topological Quantum Field Theory for Abelian Topological Phases and Loop Braiding Statistics in -Dimensions
Qing-Rui Wang, Meng Cheng, Chenjie Wang +1
Topological qauntum field theory(TQFT) is a very powerful theoretical tool to study topological phases and phase transitions. In D, it is well known that the Chern-Simons theo…
Anomalous symmetry protected topological states in interacting fermion systems
Qing-Rui Wang, Yang Qi, Zheng-Cheng Gu
The classification and construction of symmetry protected topological (SPT) phases have been intensively studied in interacting systems recently. To our surprise, in interacting fe…
Towards a complete classification of fermionic symmetry protected topological phases in 3D and a general group supercohomology theory
Qing-Rui Wang, Zheng-Cheng Gu
Classification and construction of symmetry protected topological (SPT) phases in interacting boson and fermion systems have become a fascinating theoretical direction in recent ye…
Exact sign structure of the - chain and the single hole ground state
Zheng Zhu, Qing-Rui Wang, D. N. Sheng +1
Injecting a single hole into a one-dimensional Heisenberg spin chain is probably the simplest case of doping a Mott insulator. The motion of such a single hole will generally induc…
Variational wave function for an anisotropic single-hole-doped - ladder
Qing-Rui Wang, Zheng Zhu, Yang Qi +1
Based on three general guiding principles, i.e., no double occupancy constraint, accurate description of antiferromagnetism at half-filling, and the precise sign structure of the $…