325 citations · 1.5k across the 45 of their papers we have counts for
35 papers · 1 filter
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…
Many-body physics of spontaneously broken higher-rank symmetry: from fractonic superfluids to dipolar Hubbard model
Shuai A. Chen, Peng Ye
Fractonic superfluids are exotic phases of matter in which bosons are subject to mobility constraints, resulting in features beyond those of conventional superfluids. These exotic…
Chiral spin liquid in a Kitaev model
Li-Mei Chen, Tyler D. Ellison, Meng Cheng +2
We study a Kitaev model on the honeycomb lattice with nearest neighbor interactions. Based on matrix product state simulations and symmetry considerations, we find e…
Detecting Subsystem Symmetry Protected Topological Order Through Strange Correlators
Chengkang Zhou, Meng-Yuan Li, Zheng Yan +2
We employ strange correlators to detect 2D subsystem symmetry-protected topological (SSPT) phases which are nontrivial topological phases protected by subsystem symmetries. Specifi…
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…
Evolution of Dynamical Signature in the X-cube Fracton Topological Order
Chengkang Zhou, Meng-Yuan Li, Zheng Yan +2
As an unconventional realization of topological orders with an exotic interplay of topology and geometry, fracton (topological) orders feature subextensive topological ground state…
Topological fracton quantum phase transitions by tuning exact tensor network states
Guo-Yi Zhu, Ji-Yao Chen, Peng Ye +1
Gapped fracton phases of matter generalize the concept of topological order and broaden our fundamental understanding of entanglement in quantum many-body systems. However, their a…
Hierarchical Proliferation of Higher-Rank Symmetry Defects in Fractonic Superfluids
Jian-Keng Yuan, Shuai A. Chen, Peng Ye
Symmetry defects, e.g., vortices in conventional superfluids, play a critical role in a complete description of symmetry-breaking phases. In this paper, we develop the theory of sy…
Fracton physics of spatially extended excitations. II. Polynomial ground state degeneracy of exactly solvable models
Meng-Yuan Li, Peng Ye
Generally, ``fracton'' topological orders are referred to as gapped phases that support \textit{point-like topological excitations} whose mobility is, to some extent, restricted. I…
Compatible braidings with Hopf links, multi-loop, and Borromean rings in -dimensional spacetime
Zhi-Feng Zhang, Peng Ye
Braiding phases among topological excitations are key data for physically characterizing topological orders. In this paper, we provide a field-theoretical approach towards a comple…
Fractonic superfluids. (II). Condensing subdimensional particles
Shuai A. Chen, Jian-Keng Yuan, Peng Ye
In this paper, we develop an exotic fractonic superfluid phase in -dimensional space where subdimensional particles -- their mobility is \emph{partially} restricted -- are conde…
Fractonic Superfluids
Jian-Keng Yuan, Shuai A. Chen, Peng Ye
We propose a superfluid phase of ``many-fracton system'' in which charge and total dipole moments are conserved quantities. In this work, both microscopic model and long-wavelength…
Fracton physics of spatially extended excitations
Meng-Yuan Li, Peng Ye
Fracton topological order hosts fractionalized point-like excitations (e.g., fractons) that have restricted mobility. In this article, we explore even more bizarre realization of f…
Generalized Wen-Zee Terms
Bo Han, Huajia Wang, Peng Ye
Motivated by symmetry-protected topological phases (SPTs) with both spatial symmetry (e.g., lattice rotation) and internal symmetry (e.g., spin rotation), we propose a class of exo…
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…
Entanglement entropy of (3+1)D topological orders with excitations
Xueda Wen, Huan He, Apoorv Tiwari +2
Excitations in (3+1)D topologically ordered phases have very rich structures. (3+1)D topological phases support both point-like and string-like excitations, and in particular the l…
Braiding with Borromean Rings in (3+1)-Dimensional Spacetime
AtMa P. O. Chan, Peng Ye, Shinsei Ryu
While winding a particle-like excitation around a loop-like excitation yields the celebrated Aharonov-Bohm phase, we find a distinctive braiding phase in the absence of such mutual…
Fractional -duality, Classification of Fractional Topological Insulators and Surface Topological Order
Peng Ye, Meng Cheng, Eduardo Fradkin
In this paper, we propose a generalization of the -duality of four-dimensional quantum electrodynamics () to with fractionally charged excitations,…
Topological Electromagnetic Responses of Bosonic Quantum Hall, Topological Insulator, and Chiral Semi-Metal phases in All Dimensions
Matthew F. Lapa, Chao-Ming Jian, Peng Ye +1
We calculate the topological part of the electromagnetic response of Bosonic Integer Quantum Hall (BIQH) phases in odd (spacetime) dimensions, and Bosonic Topological Insulator (BT…
Three-dimensional anomalous twisted gauge theories with global symmetry: Implications for quantum spin liquids
Peng Ye
Topological spin liquids can be described by topological gauge theories with global symmetry. Due to the presence of both nontrivial bulk deconfined gauge fluxes and global symmetr…
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…
Topological density-wave states in a particle-hole symmetric Weyl metal
Yuxuan Wang, Peng Ye
We study the instabilities of a particle-hole symmetric Weyl metal with both electron and hole Fermi surfaces (FS) around the Weyl points. For a repulsive interaction, we find that…
Composite Particle Theory of Three-dimensional Gapped Fermionic Phases: Fractional Topological Insulators and Charge-Loop Excitation Symmetry
Peng Ye, Taylor L. Hughes, Joseph Maciejko +1
Topological phases of matter are usually realized in deconfined phases of gauge theories. In this context, confined phases with strongly fluctuating gauge fields seem to be irrelev…
Topological quantum field theory of three-dimensional bosonic Abelian-symmetry-protected topological phases
Peng Ye, Zheng-Cheng Gu
Symmetry-protected topological phases (SPT) are short-range entangled gapped states protected by global symmetry. Nontrivial SPT phases cannot be adiabatically connected to the tri…