Spinless basis for spin-singlet FQH states

Taro Kimura

doi:10.1143/PTP.128.829

Spinless basis for spin-singlet FQH states

Taro Kimura

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

3 Citations (Scopus)

Abstract

We investigate an alternative description of the SU(M)-singlet FQH state by using the spinless basis. The SU(M)-singlet Halperin state is obtained via the q-deformation of the Laughlin state and its root of unity limit, by applying the Yangian Gelfand-Zetlin basis for the spin Calogero-Sutherland model. The squeezing rule for the SU(M) state is also investigated in terms of the spinless basis.

Original language	English
Pages (from-to)	829-843
Number of pages	15
Journal	Progress of Theoretical Physics
Volume	128
Issue number	5
DOIs	https://doi.org/10.1143/PTP.128.829
Publication status	Published - 2012 Nov
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1143/PTP.128.829

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abstract = "We investigate an alternative description of the SU(M)-singlet FQH state by using the spinless basis. The SU(M)-singlet Halperin state is obtained via the q-deformation of the Laughlin state and its root of unity limit, by applying the Yangian Gelfand-Zetlin basis for the spin Calogero-Sutherland model. The squeezing rule for the SU(M) state is also investigated in terms of the spinless basis.",

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AB - We investigate an alternative description of the SU(M)-singlet FQH state by using the spinless basis. The SU(M)-singlet Halperin state is obtained via the q-deformation of the Laughlin state and its root of unity limit, by applying the Yangian Gelfand-Zetlin basis for the spin Calogero-Sutherland model. The squeezing rule for the SU(M) state is also investigated in terms of the spinless basis.

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Spinless basis for spin-singlet FQH states

Abstract

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