Braid Group Representation and Fractional Quantum Hall Effect

We discuss Laughlin's ground state and its derivation in the path integral approach. When the external magnetic field is very strong, we regard all electron-electron interactions such as the Coulomb term as weak perturbations. It seems that from the non-trivial topology of the configuration spa...

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Main Authors: TING, Hian Ann, Christopher, Lai, C. H.
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 1991
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Online Access:https://ink.library.smu.edu.sg/lkcsb_research/1882
https://doi.org/10.1142/S0217984991001581
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spelling sg-smu-ink.lkcsb_research-28812010-09-23T06:24:04Z Braid Group Representation and Fractional Quantum Hall Effect TING, Hian Ann, Christopher Lai, C. H. We discuss Laughlin's ground state and its derivation in the path integral approach. When the external magnetic field is very strong, we regard all electron-electron interactions such as the Coulomb term as weak perturbations. It seems that from the non-trivial topology of the configuration space alone, it is possible to arrive at a Hamiltonian for which Laughlin wavefunctions are exact ground states. 1991-01-01T08:00:00Z text https://ink.library.smu.edu.sg/lkcsb_research/1882 info:doi/10.1142/S0217984991001581 https://doi.org/10.1142/S0217984991001581 Research Collection Lee Kong Chian School Of Business eng Institutional Knowledge at Singapore Management University Business
institution Singapore Management University
building SMU Libraries
continent Asia
country Singapore
Singapore
content_provider SMU Libraries
collection InK@SMU
language English
topic Business
spellingShingle Business
TING, Hian Ann, Christopher
Lai, C. H.
Braid Group Representation and Fractional Quantum Hall Effect
description We discuss Laughlin's ground state and its derivation in the path integral approach. When the external magnetic field is very strong, we regard all electron-electron interactions such as the Coulomb term as weak perturbations. It seems that from the non-trivial topology of the configuration space alone, it is possible to arrive at a Hamiltonian for which Laughlin wavefunctions are exact ground states.
format text
author TING, Hian Ann, Christopher
Lai, C. H.
author_facet TING, Hian Ann, Christopher
Lai, C. H.
author_sort TING, Hian Ann, Christopher
title Braid Group Representation and Fractional Quantum Hall Effect
title_short Braid Group Representation and Fractional Quantum Hall Effect
title_full Braid Group Representation and Fractional Quantum Hall Effect
title_fullStr Braid Group Representation and Fractional Quantum Hall Effect
title_full_unstemmed Braid Group Representation and Fractional Quantum Hall Effect
title_sort braid group representation and fractional quantum hall effect
publisher Institutional Knowledge at Singapore Management University
publishDate 1991
url https://ink.library.smu.edu.sg/lkcsb_research/1882
https://doi.org/10.1142/S0217984991001581
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