skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Non-Abelian phases in two-component ν = 2 / 3 fractional quantum Hall states: Emergence of Fibonacci anyons

Journal Article · · Physical Review B

Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0002140
OSTI ID:
1208952
Journal Information:
Physical Review B, Journal Name: Physical Review B Vol. 92 Journal Issue: 8; ISSN 1098-0121
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 19 works
Citation information provided by
Web of Science

References (56)

Entanglement scaling of fractional quantum Hall states through geometric deformations journal July 2010
Fractional quantum Hall hierarchy and the second Landau level journal September 2008
Fibonacci Anyons From Abelian Bilayer Quantum Hall States journal December 2014
Landau-Ginzburg theories for non-abelian quantum Hall states journal May 1999
Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall States journal April 1984
Separation of spin and charge in paired spin-singlet quantum Hall states journal January 2002
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States journal August 1983
Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level journal March 1999
Multiparticle pseudopotentials for multicomponent quantum Hall systems journal February 2012
Evidence for a spin transition in the ν=2/3 fractional quantum Hall effect journal April 1990
Observation of the fractional quantum Hall effect in graphene journal November 2009
Theory of the quantized Hall conductance text January 1983
Shift and spin vector: New topological quantum numbers for the Hall fluids journal August 1992
Exotic non-Abelian anyons from conventional fractional quantum Hall states journal January 2013
Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States journal July 2008
New directions in the pursuit of Majorana fermions in solid state systems journal June 2012
Edge-mode combinations in the entanglement spectra of non-Abelian fractional quantum Hall states on the torus journal January 2012
Superconducting proximity effect on the edge of fractional topological insulators journal November 2012
Detecting Topological Order in a Ground State Wave Function journal March 2006
Topological Entanglement Entropy journal March 2006
Entanglement Entropy in Fermionic Laughlin States journal February 2007
Classification of Abelian quantum Hall states and matrix formulation of topological fluids journal July 1992
Topological phase transition in the ν=2/3 quantum Hall effect journal June 1996
Universal Topological Quantum Computation from a Superconductor-Abelian Quantum Hall Heterostructure journal March 2014
Possible non-Abelian Moore-Read state in double-layer bosonic fractional quantum Hall system journal June 2015
Nonabelions in the fractional quantum hall effect journal August 1991
Extracting Excitations from Model State Entanglement journal March 2011
Nonconventional Odd-Denominator Fractional Quantum Hall States in the Second Landau Level journal December 2010
Continuous Topological Phase Transitions between Clean Quantum Hall States journal April 2000
Fractional Quantum Hall Effect at High Fillings in a Two-Subband Electron System journal December 2010
Non-Abelian statistics in the fractional quantum Hall states journal February 1991
Model Fractional Quantum Hall States and Jack Polynomials journal June 2008
‘One-dimensional’ theory of the quantum Hall system journal April 2006
Multicomponent fractional quantum Hall effect in graphene journal May 2011
Origin of the ν=1/2 fractional quantum Hall state in wide single quantum wells journal May 1994
Competing Abelian and non-Abelian topological orders in ν = 1 / 3 + 1 / 3 quantum Hall bilayers journal May 2015
Abelian and Non-Abelian Hall Liquids and Charge-Density Wave: Quantum Number Fractionalization in One and Two Dimensions journal August 2006
New Class of Non-Abelian Spin-Singlet Quantum Hall States journal June 1999
Construction of a paired wave function for spinless electrons at filling fraction ν = 2 5 journal February 2007
Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene journal October 2009
Composite Fermions book January 2007
Fractional topological superconductor with fractionalized Majorana fermions journal January 2013
Bipartite entanglement entropy in fractional quantum Hall states journal September 2007
Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States journal November 2010
Quasiholes and fermionic zero modes of paired fractional quantum Hall states: The mechanism for non-Abelian statistics journal December 1996
Non-Abelian anyons and topological quantum computation journal September 2008
One-component to two-component transition of the ν = 2 / 3 fractional quantum Hall effect in a wide quantum well induced by an in-plane magnetic field journal September 1997
Domain Walls, Fusion Rules, and Conformal Field Theory in the Quantum Hall Regime journal May 2009
Parafermion Hall states from coset projections of abelian conformal theories journal April 2001
Fractionalizing Majorana Fermions: Non-Abelian Statistics on the Edges of Abelian Quantum Hall States journal October 2012
Abelian and non-Abelian states in ν = 2 / 3 bilayer fractional quantum Hall systems journal July 2015
Quantum Hall phase diagram of half-filled bilayers in the lowest and the second orbital Landau levels: Abelian versus non-Abelian incompressible fractional quantum Hall states journal April 2010
Composite-fermion approach for the fractional quantum Hall effect journal July 1989
Superconducting Analogue of the Parafermion Fractional Quantum Hall States journal July 2014
Tunneling-driven breakdown of the 331 state and the emergent Pfaffian and composite Fermi liquid phases journal August 2010
Classification of topological defects in Abelian topological states journal December 2013

Similar Records

Related Subjects