nLab Bertrand Halperin

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Selected writings

Early discussion of the fractional quantum Hall effect:

• Bertrand I. Halperin: Theory of the Quantized Hall Conductance, Helvetica Physica Acta 56 (1983) 75-102 [doi:10.5169/seals-115362, pdf]

• F. Duncan M. Haldane: Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States, Phys. Rev. Lett. 51 (1983) 605 [doi:10.1103/PhysRevLett.51.605]

• Bertrand Halperin: Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall States, Phys. Rev. Lett. 52 (1984) 1583 [doi:10.1103/PhysRevLett.52.1583]

Prediction of abelian anyon-excitations in the fractional quantum Hall effect (i.e. satisfying braid group statistics in 1-dimensional linear representations of the braid group) via a hierarchy of Laughlin wavefunctions:

• Bertrand I. Halperin: Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall States, Phys. Rev. Lett. 52 (1984) 1583 [doi:10.1103/PhysRevLett.52.1583]

  Erratum, Phys. Rev. Lett. 52 (1984) 2390 [doi:10.1103/PhysRevLett.52.2390.4]

On the fictitious gauge field-model for anyon statistics and the resulting superfluidity/superconductivity of anyons:

• Yi-Hong Chen, Frank Wilczek, Edward Witten, Bertrand Halperin, On Anyon Superconductivity, International Journal of Modern Physics B 03 07 (1989) 1001-1067 (reprinted in Wilczek 1990) $[$doi:10.1142/S0217979289000725, pdf$]$

On the fractional quantum Hall effect:

• Bertrand I. Halperin, Jainendra K. Jain (eds.): Fractional Quantum Hall Effects – New Developments, World Scientific (2020) [doi:10.1142/11751]

On anyons in fractional quantum Hall systems:

• D. E. Feldman, Bertrand Halperin: Fractional charge and fractional statistics in the quantum Hall effects, Rep. Prog. Phys. 84 (2021) 076501 [doi:10.1088/1361-6633/ac03aa, arXiv:2102.08998]

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