Localization of electrons in internal frame

Urbashi Satpathi; Sumit Ghosh; Ashim Kumar Ray; Prosenjit Singha Deo

doi:10.1142/S0217979215502665

Localization of electrons in internal frame

Urbashi Satpathi, Sumit Ghosh, Ashim Kumar Ray, Prosenjit Singha Deo

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

Abstract

Localization of electrons in the internal frame of reference is well established in one dimension in the presence and absence of Coulomb interaction. We start from quasi-one-dimensional (Q1D) ring and show the possibility of such a transition by going to a regime where it can be shown for electrons that just interact via Fermi statistics. We then give a proof that when the Q1D ring is made infinitely wide, then there will be such a localization even when Coulomb interaction is included. Finally, we also comment on dimensions greater than two.

Original language	English
Article number	1550266
Journal	International Journal of Modern Physics B
Volume	30
Issue number	3
DOIs	https://doi.org/10.1142/S0217979215502665
State	Published - 30 Jan 2016
Externally published	Yes

Keywords

Many electron systems
charge and spin density waves
higher dimensions
symmetry breaking

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Condensed Matter Physics

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10.1142/S0217979215502665

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abstract = "Localization of electrons in the internal frame of reference is well established in one dimension in the presence and absence of Coulomb interaction. We start from quasi-one-dimensional (Q1D) ring and show the possibility of such a transition by going to a regime where it can be shown for electrons that just interact via Fermi statistics. We then give a proof that when the Q1D ring is made infinitely wide, then there will be such a localization even when Coulomb interaction is included. Finally, we also comment on dimensions greater than two.",

keywords = "Many electron systems, charge and spin density waves, higher dimensions, symmetry breaking",

author = "Urbashi Satpathi and Sumit Ghosh and Ray, {Ashim Kumar} and Deo, {Prosenjit Singha}",

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AU - Satpathi, Urbashi

AU - Ghosh, Sumit

AU - Ray, Ashim Kumar

AU - Deo, Prosenjit Singha

N1 - Publisher Copyright: © World Scientific Publishing Company.

PY - 2016/1/30

Y1 - 2016/1/30

N2 - Localization of electrons in the internal frame of reference is well established in one dimension in the presence and absence of Coulomb interaction. We start from quasi-one-dimensional (Q1D) ring and show the possibility of such a transition by going to a regime where it can be shown for electrons that just interact via Fermi statistics. We then give a proof that when the Q1D ring is made infinitely wide, then there will be such a localization even when Coulomb interaction is included. Finally, we also comment on dimensions greater than two.

AB - Localization of electrons in the internal frame of reference is well established in one dimension in the presence and absence of Coulomb interaction. We start from quasi-one-dimensional (Q1D) ring and show the possibility of such a transition by going to a regime where it can be shown for electrons that just interact via Fermi statistics. We then give a proof that when the Q1D ring is made infinitely wide, then there will be such a localization even when Coulomb interaction is included. Finally, we also comment on dimensions greater than two.

KW - Many electron systems

KW - charge and spin density waves

KW - higher dimensions

KW - symmetry breaking

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JO - International Journal of Modern Physics B

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Localization of electrons in internal frame

Abstract

Keywords

ASJC Scopus subject areas

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