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Title: Exotic Non-Abelian Topological Defects in Lattice Fractional Quantum Hall States

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1380016
Grant/Contract Number:  
SC0002140
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 119 Journal Issue: 10; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Liu, Zhao, Möller, Gunnar, and Bergholtz, Emil J. Exotic Non-Abelian Topological Defects in Lattice Fractional Quantum Hall States. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.119.106801.
Liu, Zhao, Möller, Gunnar, & Bergholtz, Emil J. Exotic Non-Abelian Topological Defects in Lattice Fractional Quantum Hall States. United States. doi:10.1103/PhysRevLett.119.106801.
Liu, Zhao, Möller, Gunnar, and Bergholtz, Emil J. Thu . "Exotic Non-Abelian Topological Defects in Lattice Fractional Quantum Hall States". United States. doi:10.1103/PhysRevLett.119.106801.
@article{osti_1380016,
title = {Exotic Non-Abelian Topological Defects in Lattice Fractional Quantum Hall States},
author = {Liu, Zhao and Möller, Gunnar and Bergholtz, Emil J.},
abstractNote = {},
doi = {10.1103/PhysRevLett.119.106801},
journal = {Physical Review Letters},
number = 10,
volume = 119,
place = {United States},
year = {2017},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevLett.119.106801

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Cited by: 3 works
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Works referenced in this record:

Extracting Excitations from Model State Entanglement
journal, March 2011


Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
journal, May 1983


Synthetic non-Abelian statistics by Abelian anyon condensation
journal, January 2013


Ultra-precise holographic beam shaping for microscopic quantum control
journal, January 2016

  • Zupancic, Philip; Preiss, Philipp M.; Ma, Ruichao
  • Optics Express, Vol. 24, Issue 13
  • DOI: 10.1364/OE.24.013881

Degeneracy of non-Abelian quantum Hall states on the torus: domain walls and conformal field theory
journal, April 2008

  • Ardonne, Eddy; Bergholtz, Emil J.; Kailasvuori, Janik
  • Journal of Statistical Mechanics: Theory and Experiment, Vol. 2008, Issue 04
  • DOI: 10.1088/1742-5468/2008/04/P04016

Fractionalization, Topological Order, and Quasiparticle Statistics
journal, February 2006


Twist defects and projective non-Abelian braiding statistics
journal, January 2013


A Note on Permutation Twist Defects in Topological Bilayer Phases
journal, September 2014


Generalized Kitaev Models and Extrinsic Non-Abelian Twist Defects
journal, January 2015


Projective ribbon permutation statistics: A remnant of non-Abelian braiding in higher dimensions
journal, March 2011


Microscopy of the interacting Harper–Hofstadter model in the two-body limit
journal, June 2017

  • Tai, M. Eric; Lukin, Alexander; Rispoli, Matthew
  • Nature, Vol. 546, Issue 7659
  • DOI: 10.1038/nature22811

Particle entanglement spectra for quantum Hall states on lattices
journal, October 2012


Topological Entanglement Entropy with a Twist
journal, November 2013


Shift and spin vector: New topological quantum numbers for the Hall fluids
journal, August 1992


Exact Parent Hamiltonian for the Quantum Hall States in a Lattice
journal, November 2010


Fractionalized topological insulators
journal, April 2015

  • Maciejko, Joseph; Fiete, Gregory A.
  • Nature Physics, Vol. 11, Issue 5
  • DOI: 10.1038/nphys3311

Demonstrating non-Abelian statistics of Majorana fermions using twist defects
journal, December 2015


Engineering three-body interaction and Pfaffian states in circuit QED systems
journal, August 2014


Geometry defects in bosonic symmetry-protected topological phases
journal, June 2016


Topological Nematic States and Non-Abelian Lattice Dislocations
journal, August 2012


Fractional topological superconductor with fractionalized Majorana fermions
journal, January 2013


Composite Fermion Theory for Bosonic Quantum Hall States on Lattices
journal, September 2009


Single Band Motion of Conduction Electrons in a Uniform Magnetic Field
journal, October 1955


Majorana Fermions and Non-Abelian Statistics in Three Dimensions
journal, January 2010


Non-Abelian anyons and topological quantum computation
journal, September 2008


Topological flat band Models and Fractional Chern Insulators
journal, September 2013


Fault-tolerant quantum computation by anyons
journal, January 2003


Theory of defects in Abelian topological states
journal, December 2013


Topological Order with a Twist: Ising Anyons from an Abelian Model
journal, July 2010


Projective non-Abelian statistics of dislocation defects in a Z N rotor model
journal, October 2012


Majorana modes and p-wave superfluids for fermionic atoms in optical lattices
journal, July 2014

  • Bühler, A.; Lang, N.; Kraus, C. V.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms5504

Fractional quantum Hall physics in topological flat bands
journal, November 2013

  • Parameswaran, Siddharth A.; Roy, Rahul; Sondhi, Shivaji L.
  • Comptes Rendus Physique, Vol. 14, Issue 9-10
  • DOI: 10.1016/j.crhy.2013.04.003

Fractional Chern Insulator
journal, December 2011


Fractionalizing Majorana Fermions: Non-Abelian Statistics on the Edges of Abelian Quantum Hall States
journal, October 2012


Model Fractional Chern Insulators
journal, May 2016


Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices
journal, October 2013


Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
journal, September 1976


Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
journal, October 2013


Superconducting Analogue of the Parafermion Fractional Quantum Hall States
journal, July 2014


Topological Orders and Chern-Simons Theory in Strongly Correlated Quantum Liquid
journal, June 1991


Non-Abelian fractional Chern insulators from long-range interactions
journal, November 2013


Nonabelions in the fractional quantum hall effect
journal, August 1991


Fractional Chern Insulators in Harper-Hofstadter Bands with Higher Chern Number
journal, September 2015