Re-parameterization invariance in fractional flux periodicity

Shuichi Murakami; Ken Ichi Sasaki; Riichiro Saito

doi:10.1143/JPSJ.73.3231

Re-parameterization invariance in fractional flux periodicity

Shuichi Murakami, Ken Ichi Sasaki, Riichiro Saito

SCI - Physics

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

1 Citation (Scopus)

Abstract

We analyze a common feature of a nontrivial fractional flux periodicity in two-dimensional systems. We demonstrate that an addition of fractional flux can be absorbed into re-parameterization of quantum numbers. For an exact fractional periodicity, all the electronic states undergo the re-parameterization, whereas for an approximate periodicity valid in a large system, only the states near the Fermi level are involved in the re-parameterization.

Original language	English
Pages (from-to)	3231-3234
Number of pages	4
Journal	journal of the physical society of japan
Volume	73
Issue number	12
DOIs	https://doi.org/10.1143/JPSJ.73.3231
Publication status	Published - 2004 Dec

Keywords

Aharonov-Bohm effect
Carbon nanotube
Fermi surface
Fractional flux periodicity
Persistent current

ASJC Scopus subject areas

Physics and Astronomy(all)

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abstract = "We analyze a common feature of a nontrivial fractional flux periodicity in two-dimensional systems. We demonstrate that an addition of fractional flux can be absorbed into re-parameterization of quantum numbers. For an exact fractional periodicity, all the electronic states undergo the re-parameterization, whereas for an approximate periodicity valid in a large system, only the states near the Fermi level are involved in the re-parameterization.",

keywords = "Aharonov-Bohm effect, Carbon nanotube, Fermi surface, Fractional flux periodicity, Persistent current",

author = "Shuichi Murakami and Sasaki, {Ken Ichi} and Riichiro Saito",

year = "2004",

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AU - Murakami, Shuichi

AU - Sasaki, Ken Ichi

AU - Saito, Riichiro

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Y1 - 2004/12

N2 - We analyze a common feature of a nontrivial fractional flux periodicity in two-dimensional systems. We demonstrate that an addition of fractional flux can be absorbed into re-parameterization of quantum numbers. For an exact fractional periodicity, all the electronic states undergo the re-parameterization, whereas for an approximate periodicity valid in a large system, only the states near the Fermi level are involved in the re-parameterization.

AB - We analyze a common feature of a nontrivial fractional flux periodicity in two-dimensional systems. We demonstrate that an addition of fractional flux can be absorbed into re-parameterization of quantum numbers. For an exact fractional periodicity, all the electronic states undergo the re-parameterization, whereas for an approximate periodicity valid in a large system, only the states near the Fermi level are involved in the re-parameterization.

KW - Aharonov-Bohm effect

KW - Carbon nanotube

KW - Fermi surface

KW - Fractional flux periodicity

KW - Persistent current

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JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 12

ER -

Re-parameterization invariance in fractional flux periodicity

Abstract

Keywords

ASJC Scopus subject areas

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