Anyons and the quantum Hall effect - a pedagogical review

[1]  K. T. Law.  Probing Non-Abelian Statistics in $\nu=12/5$ Quantum Hall State , 2008 .

[2]  S. Simon,et al.  Aharonov-Bohm-Like Oscillations in Quantum Hall Corrals , 2007, 0708.2448.

[3]  K. T. Law.  Probing non-Abelian statistics inν=12/5quantum Hall state , 2007, 0707.3995.

[4]  S. Simon,et al.  Non-Abelian Anyons and Topological Quantum Computation , 2007, 0707.1889.

[5]  R. Ilan,et al.  Coulomb blockade as a probe for non-Abelian statistics in Read-Rezayi states. , 2007, Physical review letters.

[6]  L. Fidkowski.  Double Point Contact in the k=3 Read-Rezayi State , 2007, 0704.3291.

[7]  D. Averin,et al.  Coulomb blockade of anyons in quantum antidots. , 2007, Physical review letters.

[8]  C. M. Marcus,et al.  Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2 , 2007, cond-mat/0703161.

[9]  Steven H. Simon,et al.  Construction of a paired wave function for spinless electrons at filling fractionν=2∕5 , 2007 .

[10]  D. Averin,et al.  Mach-Zehnder interferometer in the fractional quantum Hall regime. , 2006, Physical review letters.

[11]  S. Chung,et al.  Explicit monodromy of Moore–Read wavefunctions on a torus , 2006, cond-mat/0611754.

[12]  B. Rosenow,et al.  Influence of interactions on flux and back-gate period of quantum Hall interferometers. , 2006, Physical review letters.

[13]  V. Goldman,et al.  Primary-Filling e/3 Quasiparticle Interferometer , 2006, cond-mat/0610751.

[14]  Kun Yang,et al.  Edge excitations and non-Abelian statistics in the moore-read state: A numerical study in the presence of coulomb interaction and edge confinement. , 2006, Physical review letters.

[15]  N. Read,et al.  Non-Abelian quantized Hall states of electrons at filling factors 12/5 and 13/5 in the first excited Landau level , 2006, cond-mat/0608346.

[16]  Parsa Bonderson,et al.  Decoherence of anyonic charge in interferometry measurements. , 2006, Physical review letters.

[17]  D. Feldman,et al.  Detecting non-Abelian statistics with an electronic Mach-Zehnder interferometer. , 2006, Physical review letters.

[18]  V. Goldman,et al.  Transport in the Laughlin quasiparticle interferometer: Evidence for topological protection in an anyonic qubit , 2006, cond-mat/0606742.

[19]  V. Goldman.  Superperiods and quantum statistics of Laughlin quasiparticles , 2006, cond-mat/0605614.

[20]  J. Jain,et al.  Resonant tunneling in the fractional quantum Hall effect: superperiods and braiding statistics. , 2006, Physical review letters.

[21]  C. Chamon,et al.  "Wormhole" geometry for entrapping topologically protected qubits in non-abelian quantum hall states and probing them with voltage and noise measurements. , 2006, Physical review letters.

[22]  S. Simon,et al.  Switching noise as a probe of statistics in the fractional quantum Hall effect. , 2006, Physical review letters.

[23]  Parsa Bonderson,et al.  Probing non-Abelian statistics with quasiparticle interferometry. , 2006, Physical review letters.

[24]  D. Mahalu,et al.  Unexpected behavior in a two-path electron interferometer. , 2006, Physical review letters.

[25]  M. Geller,et al.  Aharonov-bohm effect in the non-abelian quantum hall fluid , 2005, cond-mat/0511236.

[26]  C. Nayak,et al.  Effects of non-Abelian statistics on two-terminal shot noise in a quantum Hall liquid in the Pfaffian state , 2005, cond-mat/0510394.

[27]  A. Kitaev,et al.  Detecting non-Abelian statistics in the nu = 5/2 fractional quantum hall state. , 2005, Physical review letters.

[28]  B. Halperin,et al.  Proposed experiments to probe the non-Abelian nu = 5/2 quantum hall state. , 2005, Physical review letters.

[29]  S. Chung,et al.  Fusion rules and vortices in p x + i p y superconductors , 2005, cond-mat/0505515.

[30]  V. Goldman,et al.  Aharonov-Bohm superperiod in a Laughlin quasiparticle interferometer. , 2005, Physical review letters.

[31]  F. Camino,et al.  Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics , 2005, cond-mat/0502406.

[32]  M. Freedman,et al.  Topologically protected qubits from a possible non-Abelian fractional quantum Hall state. , 2004, Physical review letters.

[33]  A. Yacoby,et al.  Localization of Fractionally Charged Quasi-Particles , 2004, Science.

[34]  A. Stern,et al.  Geometric phases and quantum entanglement as building blocks for non-Abelian quasiparticle statistics , 2003, cond-mat/0310273.

[35]  R. Morf,et al.  Disorder in fractional quantum Hall states and the gap at ν = 5 / 2 , 2003 .

[36]  D. Sprinzak,et al.  An electronic Mach–Zehnder interferometer , 2003, Nature.

[37]  C. Kane.  Telegraph noise and fractional statistics in the quantum Hall effect. , 2002, Physical review letters.

[38]  S. Simon,et al.  Monte Carlo evaluation of non-Abelian statistics. , 2002, Physical review letters.

[39]  E. Rezayi,et al.  Possible pairing-induced even-denominator fractional quantum Hall effect in the lowest Landau level. , 2002, Physical review letters.

[40]  P. Mathieu,et al.  Parafermionic quasi-particle basis and fermionic-type characters , 2001, hep-th/0108063.

[41]  F. Bais,et al.  Inequivalent classes of interference experiments with non-abelian anyons , 2001, quant-ph/0105015.

[42]  N. Read,et al.  Non-abelian spin-singlet quantum Hall states: wave functions and quasihole state counting , 2001, cond-mat/0104250.

[43]  I. Todorov,et al.  Parafermion Hall states from coset projections of abelian conformal theories , 2000, hep-th/0009229.

[44]  D. Ivanov.  Non-Abelian statistics of half-quantum vortices in p-wave superconductors. , 2000, Physical review letters.

[45]  K. Schoutens,et al.  Non-Abelian Quantum Hall States—Exclusion Statistics, K-Matrices, and Duality , 2000, cond-mat/0004084.

[46]  N. Read,et al.  Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect , 1999, cond-mat/9906453.

[47]  X. Wen.  Projective construction of non-Abelian quantum Hall liquids , 1998, cond-mat/9811111.

[48]  K. Schoutens,et al.  Exclusion statistics in conformal field theory — Generalized fermions and spinons for level-1 WZW theories , 1998, hep-th/9810113.

[49]  I. Todorov,et al.  A Unified Conformal Field Theory Description¶of Paired Quantum Hall States , 1998, hep-th/9810105.

[50]  N. Read,et al.  Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level , 1998, cond-mat/9809384.

[51]  K. Schoutens.  Exclusion Statistics for Non-Abelian Quantum Hall States , 1998, cond-mat/9803169.

[52]  R. Morf.  TRANSITION FROM QUANTUM HALL TO COMPRESSIBLE STATES IN THE SECOND LANDAU LEVEL : NEW LIGHT ON THE V = 5/2 ENIGMA , 1998, cond-mat/9809024.

[53]  A. Zee,et al.  TOPOLOGICAL DEGENERACY OF QUANTUM HALL FLUIDS , 1997, cond-mat/9711223.

[54]  F. Wilczek,et al.  A Chern-Simons effective field theory for the Pfaffian quantum Hall state , 1997, cond-mat/9711087.

[55]  D. Mahalu,et al.  Direct observation of a fractional charge , 1997, Nature.

[56]  A. Kitaev,et al.  Fault tolerant quantum computation by anyons , 1997, quant-ph/9707021.

[57]  France.,et al.  Observation of the e/3 Fractionally Charged Laughlin Quasiparticle , 1997, cond-mat/9706307.

[58]  C. Nayak,et al.  The Haldane-Rezayi quantum Hall state and conformal field theory , 1997, cond-mat/9701212.

[59]  Read,et al.  Quasiholes and fermionic zero modes of paired fractional quantum Hall states: The mechanism for non-Abelian statistics. , 1996, Physical review. B, Condensed matter.

[60]  S. Sondhi,et al.  Two point-contact interferometer for quantum Hall systems , 1996, cond-mat/9607195.

[61]  F. Wilczek,et al.  2n-quasihole states realize 2n−1-dimensional spinor braiding statistics in paired quantum Hall states , 1996, cond-mat/9605145.

[62]  B. Su,et al.  Resonant Tunneling in the Quantum Hall Regime: Measurement of Fractional Charge , 1995, Science.

[63]  Ben-Jacob,et al.  Quantum dynamics of a fluxon in a long circular Josephson junction. , 1994, Physical review. B, Condensed matter.

[64]  Sohn,et al.  Observation of the Aharonov-Casher effect for vortices in Josephson-junction arrays. , 1993, Physical review letters.

[65]  Lo,et al.  Non-Abelian vortices and non-Abelian statistics. , 1993, Physical review. D, Particles and fields.

[66]  Lee,et al.  Theory of the half-filled Landau level. , 1993, Physical review. B, Condensed matter.

[67]  S. Sondhi,et al.  Long-range interactions and the quantum Hall effect. , 1992, Physical review. B, Condensed matter.

[68]  López,et al.  Response functions and spectrum of collective excitations of fractional-quantum-Hall-effect systems. , 1992, Physical review. B, Condensed matter.

[69]  X. Wen,et al.  Many-body systems with non-abelian statistics☆ , 1992 .

[70]  F. Wilczek,et al.  Paired Hall states , 1992 .

[71]  E. Fradkin,et al.  Fractional quantum Hall effect and Chern-Simons gauge theories. , 1991, Physical review. B, Condensed matter.

[72]  Gregory W. Moore,et al.  Nonabelions in the fractional quantum Hall effect , 1991 .

[73]  Haldane,et al.  "Fractional statistics" in arbitrary dimensions: A generalization of the Pauli principle. , 1991, Physical review letters.

[74]  Wilczek,et al.  Paired Hall state at half filling. , 1991, Physical review letters.

[75]  M. Thouless,et al.  Fractional quantum Hall effect and multiple Aharonov-Bohm periods. , 1991, Physical review letters.

[76]  Wen.  Non-Abelian statistics in the fractional quantum Hall states. , 1991, Physical review letters.

[77]  Blok,et al.  Effective theories of the fractional quantum Hall effect: Hierarchy construction. , 1990, Physical review. B, Condensed matter.

[78]  F. Gabbiani,et al.  Braid statistics in local quantum theory , 1990 .

[79]  Jain,et al.  Composite-fermion approach for the fractional quantum Hall effect. , 1989, Physical review letters.

[80]  J. Fröhlich,et al.  Quantum field theories of vortices and anyons , 1989 .

[81]  Zhang,et al.  Effective-field-theory model for the fractional quantum Hall effect. , 1989, Physical review letters.

[82]  E. Verlinde,et al.  Fusion Rules and Modular Transformations in 2D Conformal Field Theory , 1988 .

[83]  S. Girvin,et al.  The Quantum Hall Effect , 1987 .

[84]  Tsui,et al.  Observation of an even-denominator quantum number in the fractional quantum Hall effect. , 1987, Physical review letters.

[85]  E. Witten,et al.  String Theory on Group Manifolds , 1986 .

[86]  Wu,et al.  Quantum dynamics and statistics of vortices in two-dimensional superfluids. , 1985, Physical review letters.

[87]  Frank Wilczek,et al.  Fractional Statistics and the Quantum Hall Effect , 1984 .

[88]  B. Halperin.  Statistics of quasiparticles and the hierarchy of fractional quantized Hall states , 1984 .

[89]  M. Berry.  Quantal phase factors accompanying adiabatic changes , 1984, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[90]  R. Laughlin.  Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations , 1983 .

[91]  D. C. Tsui,et al.  Two-Dimensional Magnetotransport in the Extreme Quantum Limit , 1982 .

[92]  Frank Wilczek,et al.  Magnetic flux, angular momentum, and statistics , 1982 .

[93]  G. Dorda,et al.  New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance , 1980 .

[94]  D. Bohm,et al.  Significance of Electromagnetic Potentials in the Quantum Theory , 1959 .

[95]  M. Flohr,et al.  Conformal Field Theory , 2006 .

[96]  K. Schoutens,et al.  A New Class of Non-Abelian Spin-Singlet Quantum Hall States , 1999 .

[97]  Michael Tinkham,et al.  Introduction to mesoscopic physics , 1997 .

[98]  S. Sarma,et al.  Perspectives in Quantum Hall Effects: Novel Quantum Liquids in Low-Dimensional Semiconductor Structures , 1997 .

[99]  Zongan Qiu,et al.  Modular invariant partition functions for parafermionic field theories , 1987 .

[100]  D. Gepner.  New conformal field theories associated with lie algebras and their partition functions , 1987 .

[101]  J. Myrheim,et al.  On the theory of identical particles , 1977 .

[102]  E. Lieb,et al.  Physical Review Letters , 1958, Nature.