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Symmetry fractionalization, defects, and gauging of topological phases

- M. Barkeshli, Parsa Bonderson, M. Cheng, Zhenghan Wang
- Physics, MathematicsPhysical Review B
- 16 October 2014

We examine the interplay of symmetry and topological order in $2+1$ dimensional topological phases of matter. We present a definition of the topological symmetry group, which characterizes the… Expand

Theory of defects in Abelian topological states

- M. Barkeshli, Chao-Ming Jian, X. Qi
- Physics
- 30 May 2013

The structure of extrinsic defects in topologically ordered states of matter is host to a rich set of universal physics. Extrinsic defects in 2+1 dimensional topological states include line-like… Expand

Twist defects and projective non-Abelian braiding statistics

- M. Barkeshli, Chao-Ming Jian, X. Qi
- Physics
- 23 August 2012

It has recently been realized that a general class of non-Abelian defects can be created in conventional topological states by introducing extrinsic defects, such as lattice dislocations or… Expand

Higgs mechanism in higher-rank symmetric U(1) gauge theories

- D. Bulmash, M. Barkeshli
- PhysicsPhysical Review B
- 27 February 2018

We use the Higgs mechanism to investigate connections between higher-rank symmetric $U(1)$ gauge theories and gapped fracton phases. We define two classes of rank-2 symmetric $U(1)$ gauge theories:… Expand

Modular transformations through sequences of topological charge projections

- M. Barkeshli, M. Freedman
- Physics
- 2 February 2016

The ground-state subspace of a topological phase of matter forms a representation of the mapping class group of the space on which the state is defined. We show that elements of the mapping class… Expand

Non-Fermi liquids and the Wiedemann-Franz law

- R. Mahajan, M. Barkeshli, S. Hartnoll
- Physics
- 15 April 2013

A general discussion of the ratio of thermal and electrical conductivities in non-Fermi liquid metals is given. In metals with sharp Drude peaks, the relevant physics is correctly organized around… Expand

Topological Nematic States and Non-Abelian Lattice Dislocations

- M. Barkeshli, X. Qi
- Physics
- 14 December 2011

An exciting new prospect in condensed matter physics is the possibility of realizing fractional quantum Hall (FQH) states in simple lattice models without a large external magnetic field. A… Expand

Continuous transition between fractional quantum Hall and superfluid states

- M. Barkeshli, J. McGreevy
- Physics
- 20 January 2012

We develop a theory of a direct, continuous quantum phase transition between a bosonic Laughlin fractional quantum Hall (FQH) state and a superfluid, generalizing the Mott insulator to superfluid… Expand

Charge 2e/3 Superconductivity and Topological Degeneracies without Localized Zero Modes in Bilayer Fractional Quantum Hall States.

- M. Barkeshli
- Physics, MedicinePhysical review letters
- 3 April 2016

TLDR

Translational symmetry and microscopic constraints on symmetry-enriched topological phases: a view from the surface

- M. Cheng, M. Zaletel, M. Barkeshli, A. Vishwanath, Parsa Bonderson
- Physics
- 6 November 2015

The Lieb-Schultz-Mattis theorem and its higher dimensional generalizations by Oshikawa and Hastings require that translationally invariant 2D spin systems with a half-integer spin per unit cell must… Expand

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