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Title: Twofold twist defect chains at criticality

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Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:  
SciDAC FG02-12ER46875
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Name: Physical Review B Journal Volume: 96 Journal Issue: 20; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Yu, Xiongjie, Chen, Xiao, Roy, Abhishek, and Teo, Jeffrey C. Y. Twofold twist defect chains at criticality. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.96.205435.
Yu, Xiongjie, Chen, Xiao, Roy, Abhishek, & Teo, Jeffrey C. Y. Twofold twist defect chains at criticality. United States. doi:10.1103/PhysRevB.96.205435.
Yu, Xiongjie, Chen, Xiao, Roy, Abhishek, and Teo, Jeffrey C. Y. Mon . "Twofold twist defect chains at criticality". United States. doi:10.1103/PhysRevB.96.205435.
title = {Twofold twist defect chains at criticality},
author = {Yu, Xiongjie and Chen, Xiao and Roy, Abhishek and Teo, Jeffrey C. Y.},
abstractNote = {},
doi = {10.1103/PhysRevB.96.205435},
journal = {Physical Review B},
number = 20,
volume = 96,
place = {United States},
year = {2017},
month = {11}

Journal Article:
Free Publicly Available Full Text
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DOI: 10.1103/PhysRevB.96.205435

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Works referenced in this record:

Parafermionic edge zero modes in Z n -invariant spin chains
journal, November 2012

Topological insulators and superconductors
journal, October 2011

Conformal invariance, the central charge, and universal finite-size amplitudes at criticality
journal, February 1986

Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model
journal, August 1977

  • José, Jorge V.; Kadanoff, Leo P.; Kirkpatrick, Scott
  • Physical Review B, Vol. 16, Issue 3
  • DOI: 10.1103/PhysRevB.16.1217

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

Globally symmetric topological phase: from anyonic symmetry to twist defect
journal, March 2016

Translation invariance, topology, and protection of criticality in chains of interacting anyons
journal, October 2012

Accessing topological order in fractionalized liquids with gapped edges
journal, November 2014

Anyonic quantum spin chains: Spin-1 generalizations and topological stability
journal, June 2013

Exotic non-Abelian anyons from conventional fractional quantum Hall states
journal, January 2013

  • Clarke, David J.; Alicea, Jason; Shtengel, Kirill
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms2340

Quantum Orders in an Exact Soluble Model
journal, January 2003

Unconventional fusion and braiding of topological defects in a lattice model
journal, September 2014

Topological Quantum Distillation
journal, October 2006

New directions in the pursuit of Majorana fermions in solid state systems
journal, June 2012

Parafermionic conformal field theory on the lattice
journal, October 2014

  • Mong, Roger S. K.; Clarke, David J.; Alicea, Jason
  • Journal of Physics A: Mathematical and Theoretical, Vol. 47, Issue 45
  • DOI: 10.1088/1751-8113/47/45/452001

Electrically Detected Interferometry of Majorana Fermions in a Topological Insulator
journal, May 2009

'Duality twisted' boundary conditions in n-state Potts models
journal, September 1993

Unpaired Majorana fermions in quantum wires
journal, October 2001

Superconducting proximity effect on the edge of fractional topological insulators
journal, November 2012

Disorder variables and para-fermions in two-dimensional statistical mechanics
journal, August 1980

Hamiltonian studies of the d = 2 Ashkin-Teller model
journal, November 1981

Density matrix formulation for quantum renormalization groups
journal, November 1992

Models for Gapped Boundaries and Domain Walls
journal, June 2012

Anyonic symmetries and topological defects in Abelian topological phases: An application to the A D E classification
journal, December 2014

Quantum symmetries in discrete gauge theories
journal, April 1992

Operator content of the three-state Potts quantum chain
journal, July 1986

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

Phase structure of discrete Abelian spin and gauge systems
journal, June 1979

Anyon computers with smaller groups
journal, March 2004

Universal Topological Quantum Computation from a Superconductor-Abelian Quantum Hall Heterostructure
journal, March 2014

Universal term in the free energy at a critical point and the conformal anomaly
journal, February 1986

Nonabelions in the fractional quantum hall effect
journal, August 1991

Probing Neutral Majorana Fermion Edge Modes with Charge Transport
journal, May 2009

Kramers pairs of Majorana fermions and parafermions in fractional topological insulators
journal, October 2014

Symmetry fractionalization and twist defects
journal, March 2016

Operator content of two-dimensional conformally invariant theories
journal, January 1986

Anyons in an exactly solved model and beyond
journal, January 2006

Braiding statistics and congruent invariance of twist defects in bosonic bilayer fractional quantum Hall states
journal, October 2014

Orbifolds by cyclic permutations of tensor product conformal field theories
journal, August 1990

Paired Hall states
journal, May 1992

The Ashkin-Teller quantum chain and conformal invariance
journal, January 1987

Spectrum doubling and the extended Brillouin zone in the excitations of the three state Potts spin chain
journal, November 1992

Spectrum of a duality-twisted Ising quantum chain
journal, January 2002

Boundary States of c = 1 and 3/2 Rational Conformal Field Theories
journal, February 2002

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

Criticality in self-dual sine-Gordon models
journal, September 2002

Criticality in translation-invariant parafermion chains
journal, March 2015

Colloquium: Topological insulators
journal, November 2010

Spin–flip transistor
journal, October 2001

  • Bauer, Gerrit E. W.; Nazarov, Yuli V.; Brataas, Arne
  • Physica E: Low-dimensional Systems and Nanostructures, Vol. 11, Issue 2-3
  • DOI: 10.1016/S1386-9477(01)00190-4

Unconventional Josephson Effect in Hybrid Superconductor-Topological Insulator Devices
journal, July 2012

Quantum spin ladders of non-Abelian anyons
journal, April 2011

The spin-1/2XXZ Heisenberg chain, the quantum algebra Uq[sl(2)], and duality transformations for minimal models
journal, June 1993

  • Grimm, Uwe; Sch�tz, Gunter
  • Journal of Statistical Physics, Vol. 71, Issue 5-6
  • DOI: 10.1007/BF01049955

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

Fractional topological superconductor with fractionalized Majorana fermions
journal, January 2013

Fermion parity flips and Majorana bound states at twist defects in superconducting fractional topological phases
journal, May 2017

Interacting Anyons in Topological Quantum Liquids: The Golden Chain
journal, April 2007

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

The operator algebra of orbifold models
journal, September 1989

  • Dijkgraaf, Robbert; Vafa, Cumrun; Verlinde, Erik
  • Communications in Mathematical Physics, Vol. 123, Issue 3
  • DOI: 10.1007/BF01238812

Majorana Fermion Induced Resonant Andreev Reflection
journal, December 2009

Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
journal, March 2008

Theory of twist liquids: Gauging an anyonic symmetry
journal, September 2015

Fault-tolerant quantum computation by anyons
journal, January 2003

Theory of defects in Abelian topological states
journal, December 2013

2n-quasihole states realize 2n−1-dimensional spinor braiding statistics in paired quantum Hall states
journal, November 1996

Josephson current and noise at a superconductor/quantum-spin-Hall-insulator/superconductor junction
journal, April 2009

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

The top-transmon: a hybrid superconducting qubit for parity-protected quantum computation
journal, September 2011

The breaking of quantum double symmetries by defect condensation
journal, March 2007

From orbifolding conformal field theories to gauging topological phases
journal, September 2017

Majorana returns
journal, September 2009

Topologically induced fermion parity flips in superconductor vortices
journal, June 2016

  • Teo, Jeffrey C. Y.; Khan, Mayukh Nilay; Vishveshwara, Smitha
  • Physical Review B, Vol. 93, Issue 24
  • DOI: 10.1103/PhysRevB.93.245144

Classification of topological defects in Abelian topological states
journal, December 2013

Curiosities at c = 1
journal, February 1988