Matrix product state representation of non-Abelian quasiholes

Yang Le Wu; B. Estienne; N. Regnault; B. Andrei Bernevig

doi:10.1103/PhysRevB.92.045109

Matrix product state representation of non-Abelian quasiholes

Yang Le Wu, B. Estienne, N. Regnault, B. Andrei Bernevig

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We provide a detailed explanation of the formalism necessary to construct matrix product states for non-Abelian quasiholes in fractional quantum Hall model states. Our construction yields an efficient representation of the wave functions with conformal-block normalization and monodromy, and complements the matrix product state representation of fractional quantum Hall ground states.

Original language	English (US)
Article number	045109
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	92
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevB.92.045109
State	Published - Jul 9 2015

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.92.045109

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title = "Matrix product state representation of non-Abelian quasiholes",

abstract = "We provide a detailed explanation of the formalism necessary to construct matrix product states for non-Abelian quasiholes in fractional quantum Hall model states. Our construction yields an efficient representation of the wave functions with conformal-block normalization and monodromy, and complements the matrix product state representation of fractional quantum Hall ground states.",

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AU - Regnault, N.

AU - Bernevig, B. Andrei

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AB - We provide a detailed explanation of the formalism necessary to construct matrix product states for non-Abelian quasiholes in fractional quantum Hall model states. Our construction yields an efficient representation of the wave functions with conformal-block normalization and monodromy, and complements the matrix product state representation of fractional quantum Hall ground states.

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Matrix product state representation of non-Abelian quasiholes

Abstract

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