Matrix product state description of Halperin states

doi:10.1103/PhysRevB.97.165136

Title: Matrix product state description of Halperin states

Authors:: Crépel, V.; Estienne, B.; Bernevig, B. A.; Lecheminant, P.; Regnault, N.

Publication Date:: 2018-04-23

Sponsoring Org.:: USDOE

OSTI Identifier:: 1434344

Grant/Contract Number:: de-sc0016239

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Name: Physical Review B Journal Volume: 97 Journal Issue: 16; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Crépel, V., Estienne, B., Bernevig, B. A., Lecheminant, P., and Regnault, N. Matrix product state description of Halperin states.  United States: N. p., 2018. 
        Web.  doi:10.1103/PhysRevB.97.165136.

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                    Crépel, V., Estienne, B., Bernevig, B. A., Lecheminant, P., & Regnault, N. Matrix product state description of Halperin states.  United States.  doi:10.1103/PhysRevB.97.165136.

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                    Crépel, V., Estienne, B., Bernevig, B. A., Lecheminant, P., and Regnault, N. Mon .  
        "Matrix product state description of Halperin states".  United States.  doi:10.1103/PhysRevB.97.165136.

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@article{osti_1434344,

  title        = {Matrix product state description of Halperin states},

  author       = {Crépel, V. and Estienne, B. and Bernevig, B. A. and Lecheminant, P. and Regnault, N.},

  abstractNote = {},

  doi          = {10.1103/PhysRevB.97.165136},

  journal      = {Physical Review B},

  number       = 16,

  volume       = 97,

  place        = {United States},

  year         = {2018},

  month        = {4}

}

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DOI: 10.1103/PhysRevB.97.165136

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Works referenced in this record:

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Title: Matrix product state description of Halperin states

Citation Formats

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Entropy Scaling and Simulability by Matrix Product States journal, January 2008

Many-body systems with non-abelian statistics journal, May 1992

From fractional Chern insulators to Abelian and non-Abelian fractional quantum Hall states: Adiabatic continuity and orbital entanglement spectrum journal, January 2013

Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall States journal, April 1984

Real-space entanglement spectrum of quantum Hall states journal, March 2012

Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States journal, August 1983

Parent Hamiltonians for lattice Halperin states from free-boson conformal field theories journal, March 2017

Laughlin state on stretched and squeezed cylinders and edge excitations in the quantum Hall effect journal, December 1994

Quantum Hall physics: Hierarchies and conformal field theory techniques journal, May 2017

Charge and statistics of quantum Hall quasi-particles — a numerical study of mean values and fluctuations journal, October 1999

Non-Abelian S U ( N − 1 ) -singlet fractional quantum Hall states from coupled wires journal, March 2017

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

Topological Characterization of Fractional Quantum Hall Ground States from Microscopic Hamiltonians journal, June 2013

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Topological orders and edge excitations in fractional quantum Hall states journal, October 1995

Quasiparticle statistics and braiding from ground-state entanglement journal, June 2012

Finitely correlated states on quantum spin chains journal, March 1992

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

Charge-spin separation and the spectral properties of Luttinger liquids journal, November 1993

Plasma analogy and non-Abelian statistics for Ising-type quantum Hall states journal, February 2011

Exclusion Statistics for Non-Abelian Quantum Hall States journal, August 1998

Nonabelions in the fractional quantum hall effect journal, August 1991

Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order journal, October 2010

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

Numerical Analysis of Quasiholes of the Moore-Read Wave Function journal, August 2009

Colloquium : Area laws for the entanglement entropy journal, February 2010

Observation of the e / 3 Fractionally Charged Laughlin Quasiparticle journal, September 1997

Model Fractional Quantum Hall States and Jack Polynomials journal, June 2008

The hierarchical structure in the orbital entanglement spectrum of fractional quantum Hall systems journal, October 2011

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

Observation of a ν=1/2 fractional quantum Hall state in a double-layer electron system journal, March 1992

Cold Atoms in Non-Abelian Gauge Potentials: From the Hofstadter "Moth" to Lattice Gauge Theory journal, June 2005

New Class of Non-Abelian Spin-Singlet Quantum Hall States journal, June 1999

Correlation Lengths and Topological Entanglement Entropies of Unitary and Nonunitary Fractional Quantum Hall Wave Functions journal, May 2015

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Generalized clustering conditions of Jack polynomials at negative Jack parameter α journal, May 2008

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New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance
journal, August 1980

Entropy Scaling and Simulability by Matrix Product States
journal, January 2008

Many-body systems with non-abelian statistics
journal, May 1992

From fractional Chern insulators to Abelian and non-Abelian fractional quantum Hall states: Adiabatic continuity and orbital entanglement spectrum
journal, January 2013

Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall States
journal, April 1984

Real-space entanglement spectrum of quantum Hall states
journal, March 2012

Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States
journal, August 1983

Parent Hamiltonians for lattice Halperin states from free-boson conformal field theories
journal, March 2017

Laughlin state on stretched and squeezed cylinders and edge excitations in the quantum Hall effect
journal, December 1994

Quantum Hall physics: Hierarchies and conformal field theory techniques
journal, May 2017

Charge and statistics of quantum Hall quasi-particles — a numerical study of mean values and fluctuations
journal, October 1999

Non-Abelian $S U (N - 1)$ -singlet fractional quantum Hall states from coupled wires
journal, March 2017

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

Topological Characterization of Fractional Quantum Hall Ground States from Microscopic Hamiltonians
journal, June 2013

Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
journal, July 2008

Resonant Tunneling in the Quantum Hall Regime: Measurement of Fractional Charge
journal, February 1995

Spinons in conformal field theory
journal, October 1994

Detecting Topological Order in a Ground State Wave Function
journal, March 2006

On the particle entanglement spectrum of the Laughlin states
journal, June 2015

Topological Entanglement Entropy
journal, March 2006

Tunable fractional quantum Hall phases in bilayer graphene
journal, July 2014

Two-component fractional quantum Hall effect in the half-filled lowest Landau level in an asymmetric wide quantum well
journal, May 2014

Observation of a Fractional Quantum Hall State at $ν = 1 / 4$ in a Wide GaAs Quantum Well
journal, December 2008

Classification of Abelian quantum Hall states and matrix formulation of topological fluids
journal, July 1992

Direct observation of a fractional charge
journal, September 1997

Topological orders and edge excitations in fractional quantum Hall states
journal, October 1995

Quasiparticle statistics and braiding from ground-state entanglement
journal, June 2012

Finitely correlated states on quantum spin chains
journal, March 1992

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

Charge-spin separation and the spectral properties of Luttinger liquids
journal, November 1993

Plasma analogy and non-Abelian statistics for Ising-type quantum Hall states
journal, February 2011

Exclusion Statistics for Non-Abelian Quantum Hall States
journal, August 1998

Nonabelions in the fractional quantum hall effect
journal, August 1991

Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
journal, October 2010

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

Numerical Analysis of Quasiholes of the Moore-Read Wave Function
journal, August 2009

Colloquium : Area laws for the entanglement entropy
journal, February 2010

Observation of the $e / 3$ Fractionally Charged Laughlin Quasiparticle
journal, September 1997

Model Fractional Quantum Hall States and Jack Polynomials
journal, June 2008

The hierarchical structure in the orbital entanglement spectrum of fractional quantum Hall systems
journal, October 2011

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

Observation of a ν=1/2 fractional quantum Hall state in a double-layer electron system
journal, March 1992

Cold Atoms in Non-Abelian Gauge Potentials: From the Hofstadter "Moth" to Lattice Gauge Theory
journal, June 2005

New Class of Non-Abelian Spin-Singlet Quantum Hall States
journal, June 1999

Correlation Lengths and Topological Entanglement Entropies of Unitary and Nonunitary Fractional Quantum Hall Wave Functions
journal, May 2015

Effective-Field-Theory Model for the Fractional Quantum Hall Effect
journal, January 1989

Plasma picture of the fractional quantum Hall effect with internal $SU (K)$ symmetries
journal, April 2008

Infinite density matrix renormalization group for multicomponent quantum Hall systems
journal, January 2015

Evaluation of Ranks of Real Space and Particle Entanglement Spectra for Large Systems
journal, June 2012

Characterizing Topological Order by Studying the Ground States on an Infinite Cylinder
journal, February 2013

Exact matrix product states for quantum Hall wave functions
journal, December 2012

Braiding Non-Abelian Quasiholes in Fractional Quantum Hall States
journal, September 2014

Quantum entanglement in condensed matter systems
journal, August 2016

Bose–Einstein condensation of excitons in bilayer electron systems
journal, December 2004

Real-space entanglement spectrum of quantum Hall systems
journal, March 2012

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

Generalized clustering conditions of Jack polynomials at negative Jack parameter $α$
journal, May 2008

Tunneling-driven breakdown of the 331 state and the emergent Pfaffian and composite Fermi liquid phases
journal, August 2010