output
20082023
most citedClassification of topological quantum matter with symmetries

2.9k citations

Showing 2016 · cond-mat.str-elShow all

21 papers · 2 filters

cond-mat.str-el2016★ 5 cited

Holographic Dynamics from Multiscale Entanglement Renormalization Ansatz

Victor Chua, Vasilios Passias, Apoorv Tiwari +1

The Multiscale Entanglement Renormalization Ansatz (MERA) is a tensor network based variational ansatz that is capable of capturing many of the key physical properties of strongly…

cond-mat.str-el2016★ 2k cited

Quantized Electric Multipole Insulators

Wladimir A. Benalcazar, B. Andrei Bernevig, Taylor L. Hughes

In this article we extend the celebrated Berry-phase formulation of electric polarization in crystals to higher electric multipole moments. We determine the necessary conditions un…

cond-mat.str-el2016★ 31 cited

Two-cylinder entanglement entropy under a twist

Xiao Chen, William Witczak-Krempa, Thomas Faulkner +1

We study the von Neumann and Rényi entanglement entropy (EE) of scale-invariant theories defined on tori in 2+1 and 3+1 spacetime dimensions. We focus on spatial bi-partitions of t…

cond-mat.str-el2016★ 3 cited

Violation of f-sum Rule with Generalized Kinetic Energy

Kridsanaphong Limtragool, Philip W. Phillips

Motivated by the normal state of the cuprates in which the f-sum rule increases faster than a linear function of the particle density, we derive a conductivity sum rule for a syste…

cond-mat.str-el2016★ 19 cited

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…

cond-mat.str-el2016★ 171 cited

Out-of-time-order correlations in many-body localized and thermal phases

Xiao Chen, Tianci Zhou, David A. Huse +1

We use the out-of-time-order (OTO) correlators to study the slow dynamics in the many-body localized (MBL) phase. We investigate OTO correlators in the effective ("l-bit") model of…

cond-mat.str-el2016★ 25 cited

Parafermionic wires at the interface of chiral topological states

Luiz H. Santos, Taylor L. Hughes

We explore a scenario where local interactions form one-dimensional gapped interfaces between a pair of distinct chiral two-dimensional topological states - referred to as phases 1…

cond-mat.str-el2016★ 16 cited

Numerical evidence for a chiral spin liquid in the XXZ antiferromagnetic Heisenberg model on the kagome lattice at magnetization

Krishna Kumar, Hitesh J. Changlani, Bryan K. Clark +1

We perform an exact diagonalization study of the spin- XXZ Heisenberg antiferromagnet on the kagome lattice at finite magnetization with an emphasis on the X…

cond-mat.str-el2016★ 88 cited

Bimodal entanglement entropy distribution in the many-body localization transition

Xiongjie Yu, David J. Luitz, Bryan K. Clark

We introduce the cut averaged entanglement entropy in disordered periodic spin chains and prove it to be a concave function of subsystem size for individual eigenstates. This allow…

cond-mat.str-el2016★ 66 cited

Topological entanglement negativity in Chern-Simons theories

Xueda Wen, Po-Yao Chang, Shinsei Ryu

We study the topological entanglement negativity between two spatial regions in (2+1)-dimensional Chern-Simons gauge theories by using the replica trick and the surgery method. For…

cond-mat.str-el2016★ 83 cited

Evolution operators in conformal field theories and conformal mappings: the entanglement Hamiltonian, the sine-square deformation, and others

Xueda Wen, Shinsei Ryu, Andreas W. W. Ludwig

By making use of conformal mapping, we construct various time-evolution operators in (1+1) dimensional conformal field theories (CFTs), which take the form $\int dx\, f(x) \mathcal…

cond-mat.str-el2016★ 30 cited

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…

cond-mat.str-el2016★ 9 cited

Fermion Parity Flips and Majorana Bound States at twist defects in Superconducting Fractional Topological Phases

Mayukh Nilay Khan, Jeffrey C. Y. Teo, Taylor L. Hughes +1

In this paper we consider a layered heterostructure of an Abelian topologically ordered state (TO), such as a fractional Chern insulator/quantum Hall state with an s-wave supercond…

cond-mat.str-el2016★ 45 cited

Universal Entanglement Spectra of Gapped One-dimensional Field Theories

Gil Young Cho, Andreas W. W. Ludwig, Shinsei Ryu

We discuss the entanglement spectrum of the ground state of a gapped (1+1)-dimensional system in a phase near a quantum phase transition. In particular, in proximity to a quantum p…

cond-mat.str-el2016★ 40 cited

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…

cond-mat.str-el2016★ 15 cited

Geometry defects in Bosonic symmetry protected topological phases

Yizhi You, Yi-Zhuang You

In this paper we focus on the interplay between geometry defects and topological properties in bosonic symmetry protected topological(SPT) phases. We start from eight copies of 3D…

cond-mat.str-el2016★ 24 cited

Charged Topological Entanglement Entropy

Shunji Matsuura, Xueda Wen, Ling-Yan Hung +1

A charged entanglement entropy is a new measure which probes quantum entanglement between different charge sectors. We study symmetry protected topological (SPT) phases in 2+1 dime…

cond-mat.str-el2016★ 65 cited

Topological superconducting phases from inversion symmetry breaking order in spin-orbit-coupled systems

Yuxuan Wang, Gil Young Cho, Taylor L. Hughes +1

We analyze the superconducting instabilities in the vicinity of the quantum-critical point of an inversion symmetry breaking order. We first show that the fluctuations of the inver…

cond-mat.str-el2016★ 34 cited

Nematic quantum phase transition of composite Fermi liquids in half-filled Landau levels and their geometric response

Yizhi You, Gil Young Cho, Eduardo Fradkin

We present a theory of the isotropic-nematic quantum phase transition in the composite Fermi liquid arising in half-filled Landau levels. We show that the quantum phase transition…

cond-mat.str-el2016★ 4 cited

A Bosonic Analog of a Topological Dirac Semi-Metal: Effective Theory, Neighboring Phases, and Wire Construction

Matthew F. Lapa, Gil Young Cho, Taylor L. Hughes

We construct a bosonic analog of a two-dimensional topological Dirac Semi-Metal (DSM). The low-energy description of the most basic 2D DSM model consists of two Dirac cones at posi…

cond-mat.str-el2016★ 26 cited

Stripe melting, a transition between weak and strong symmetry protected topological phases

Yizhi You, Yi-Zhuang You

For a gapped disordered many-body system with both internal and translation symmetry, one can define the corresponding weak and strong Symmetry Protected Topological (SPT) phases.…