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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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 |
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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. |
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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 |
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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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1770570051320020992 |