Mutual Statistics, Braid Group, and the Fractional Quantum Hall Effect

We show that the notion of mutual statistics arises naturally from the representation theory of the braid group over the multi-sheeted surface. A Hamiltonian which describes particles moving on the double-sheeted surface is proposed as a model for the bilayered fractional quantum Hall effect (FQHE)...

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Main Author:	TING, Hian Ann, Christopher
Format:	text
Language:	English
Published:	Institutional Knowledge at Singapore Management University 1992
Subjects:	Physical Sciences and Mathematics
Online Access:	https://ink.library.smu.edu.sg/lkcsb_research/1881 https://doi.org/10.1142/S0217979292002425
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Institution:	Singapore Management University
Language:	English

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spelling	sg-smu-ink.lkcsb_research-28802010-09-23T06:24:04Z Mutual Statistics, Braid Group, and the Fractional Quantum Hall Effect TING, Hian Ann, Christopher We show that the notion of mutual statistics arises naturally from the representation theory of the braid group over the multi-sheeted surface. A Hamiltonian which describes particles moving on the double-sheeted surface is proposed as a model for the bilayered fractional quantum Hall effect (FQHE) discovered recently. We explicitly show that the quasi-holes of the bilayered Hall fluid display fractional mutual statistics. A model for 3-dimensional FQHE using the multi-layered sample is suggested. 1992-01-01T08:00:00Z text https://ink.library.smu.edu.sg/lkcsb_research/1881 info:doi/10.1142/S0217979292002425 https://doi.org/10.1142/S0217979292002425 Research Collection Lee Kong Chian School Of Business eng Institutional Knowledge at Singapore Management University Physical Sciences and Mathematics
institution	Singapore Management University
building	SMU Libraries
continent	Asia
country	Singapore Singapore
content_provider	SMU Libraries
collection	InK@SMU
language	English
topic	Physical Sciences and Mathematics
spellingShingle	Physical Sciences and Mathematics TING, Hian Ann, Christopher Mutual Statistics, Braid Group, and the Fractional Quantum Hall Effect
description	We show that the notion of mutual statistics arises naturally from the representation theory of the braid group over the multi-sheeted surface. A Hamiltonian which describes particles moving on the double-sheeted surface is proposed as a model for the bilayered fractional quantum Hall effect (FQHE) discovered recently. We explicitly show that the quasi-holes of the bilayered Hall fluid display fractional mutual statistics. A model for 3-dimensional FQHE using the multi-layered sample is suggested.
format	text
author	TING, Hian Ann, Christopher
author_facet	TING, Hian Ann, Christopher
author_sort	TING, Hian Ann, Christopher
title	Mutual Statistics, Braid Group, and the Fractional Quantum Hall Effect
title_short	Mutual Statistics, Braid Group, and the Fractional Quantum Hall Effect
title_full	Mutual Statistics, Braid Group, and the Fractional Quantum Hall Effect
title_fullStr	Mutual Statistics, Braid Group, and the Fractional Quantum Hall Effect
title_full_unstemmed	Mutual Statistics, Braid Group, and the Fractional Quantum Hall Effect
title_sort	mutual statistics, braid group, and the fractional quantum hall effect
publisher	Institutional Knowledge at Singapore Management University
publishDate	1992
url	https://ink.library.smu.edu.sg/lkcsb_research/1881 https://doi.org/10.1142/S0217979292002425
_version_	1770570050975039488

Mutual Statistics, Braid Group, and the Fractional Quantum Hall Effect

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