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Title: Fibonacci anyons and charge density order in the 12/5 and 13/5 quantum Hall plateaus

Journal Article · · Physical Review B
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Not provided.

Research Organization:
Princeton Univ., NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
SC0002140
OSTI ID:
1535878
Journal Information:
Physical Review B, Vol. 95, Issue 11; ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

References (67)

Fault-tolerant quantum computation by anyons journal January 2003
Non-Abelian anyons and topological quantum computation journal September 2008
Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices journal April 2012
Zero-bias peaks and splitting in an Al–InAs nanowire topological superconductor as a signature of Majorana fermions journal November 2012
The fractional a.c. Josephson effect in a semiconductor–superconductor nanowire as a signature of Majorana particles journal September 2012
Anomalous Zero-Bias Conductance Peak in a Nb–InSb Nanowire–Nb Hybrid Device journal February 2012
Anomalous Modulation of a Zero-Bias Peak in a Hybrid Nanowire-Superconductor Device journal March 2013
Superconductor-nanowire devices from tunneling to the multichannel regime: Zero-bias oscillations and magnetoconductance crossover journal June 2013
A Modular Functor Which is Universal¶for Quantum Computation journal June 2002
From String Nets to Nonabelions journal February 2009
Non-Abelian fractional Chern insulators from long-range interactions journal November 2013
Fermionic non-Abelian fractional Chern insulators from dipolar interactions journal March 2015
Generalized Kitaev Models and Extrinsic Non-Abelian Twist Defects journal January 2015
Assembling Fibonacci anyons from a Z 3 parafermion lattice model journal June 2015
Electron Correlation in the Second Landau Level: A Competition Between Many Nearly Degenerate Quantum Phases journal October 2004
Nonconventional Odd-Denominator Fractional Quantum Hall States in the Second Landau Level journal December 2010
Activation gaps of fractional quantum Hall effect in the second Landau level journal February 2008
Experimental studies of the fractional quantum Hall effect in the first excited Landau level journal February 2008
Composite Fermions book January 2007
Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level journal March 1999
Theory of the quantized Hall conductance text January 1983
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States journal August 1983
Fractional quantum Hall hierarchy and the second Landau level journal September 2008
Measurement of filling factor 5/2 quasiparticle interference with observation of charge e/4 and e/2 period oscillations journal May 2009
Magnetic-Field-Tuned Aharonov-Bohm Oscillations and Evidence for Non-Abelian Anyons at ν = 5 / 2 journal October 2013
Non-Abelian quantized Hall states of electrons at filling factors 12/5 and 13/5 in the first excited Landau level journal February 2009
Insulating and Fractional Quantum Hall States in the First Excited Landau Level journal January 2002
Collective Nature of the Reentrant Integer Quantum Hall States in the Second Landau Level journal February 2012
Contrasting energy scales of reentrant integer quantum Hall states journal November 2012
The Quantum Hall Effect book January 1990
Orbital Landau level dependence of the fractional quantum Hall effect in quasi-two-dimensional electron layers: Finite-thickness effects journal October 2008
Infinite density matrix renormalization group for multicomponent quantum Hall systems journal January 2015
Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States journal July 2008
Topological Entanglement Entropy journal March 2006
General Relationship between the Entanglement Spectrum and the Edge State Spectrum of Topological Quantum States journal May 2012
Topological Characterization of Fractional Quantum Hall Ground States from Microscopic Hamiltonians journal June 2013
Momentum polarization: An entanglement measure of topological spin and chiral central charge journal November 2013
Guiding-center Hall viscosity and intrinsic dipole moment along edges of incompressible fractional quantum Hall fluids journal July 2014
Shift and spin vector: New topological quantum numbers for the Hall fluids journal August 1992
Competing Topological Orders in the ν = 12 / 5 Quantum Hall State journal January 2012
Excitation gaps in fractional quantum Hall states: An exact diagonalization study journal August 2002
Intrinsic Gap of the ν = 5 / 2 Fractional Quantum Hall State journal April 2008
Measurement-Only Topological Quantum Computation journal June 2008
Spin polarization of the ν = 12 / 5 fractional quantum Hall state journal June 2012
Evidence for a spin transition in the ν=2/3 fractional quantum Hall effect journal April 1990
Phase diagrams of ν = 2 and ν = 2 3 quantum Hall states in bilayer systems journal April 2004
Fractional quantum Hall effect in a tilted magnetic field journal June 2013
NMR Probing of the Spin Polarization of the ν = 5 / 2 Quantum Hall State journal February 2012
Unraveling the Spin Polarization of the   = 5/2 Fractional Quantum Hall State journal January 2012
Spontaneous Breakdown of Translational Symmetry in Quantum Hall Systems: Crystalline Order in High Landau Levels journal December 2000
Ground state of a two-dimensional electron liquid in a weak magnetic field journal July 1996
Exact results for interacting electrons in high Landau levels journal August 1996
Microscopic theory of the reentrant integer quantum Hall effect in the first and second excited Landau levels journal December 2003
Quantum theory of quantum Hall smectics journal February 2000
Theory of the quantum Hall Smectic Phase. I. Low-energy properties of the quantum Hall smectic fixed point journal June 2002
Transition from Abelian to non-Abelian quantum liquids in the second Landau level journal July 2009
Effect of Landau level mixing on the effective interaction between electrons in the fractional quantum Hall regime journal September 2009
Landau level mixing and the fractional quantum Hall effect journal June 2013
More realistic Hamiltonians for the fractional quantum Hall regime in GaAs and graphene journal June 2013
Landau level mixing in the perturbative limit journal April 2013
Breaking of Particle-Hole Symmetry by Landau Level Mixing in the ν = 5 / 2 Quantized Hall State journal March 2011
Density dependence of the ν = 5 2 energy gap: Experiment and theory journal January 2010
Fractional Quantum Hall States at ν = 13 / 5 and 12 / 5 and Their Non-Abelian Nature journal September 2015
Enigmatic 12/5 fractional quantum Hall effect journal August 2016
Viscosity of Quantum Hall Fluids journal July 1995
Detecting Topological Order in a Ground State Wave Function journal March 2006
Many-Particle Translational Symmetries of Two-Dimensional Electrons at Rational Landau-Level Filling journal November 1985

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