Modulation of order parameter of exciton bose-einstein condensate in a ring

S. R.Eric Yang; Q. Han Park; J. Yeo

doi:10.1142/S0217979204027475

Modulation of order parameter of exciton bose-einstein condensate in a ring

S. R.Eric Yang^*, Q. Han Park, J. Yeo

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

We have studied theoretically the Bose-Einstein condensation (BEC) of two-dimensional excitons in a ring with a random variation of the effective exciton potential along the circumference. We derive a nonlinear Gross-Pitaevkii equation (GPE) for such a condensate, which is valid even in the presence of a weak magnetic field. For several types of the random potentials our numerical solution of the ground state of the GPE displays a necklace-like structure. This is a consequence of the interplay between the random potential and a strong nonlinear repulsive term of the GPE. We have investigated how the mean distance between modulation peaks depends on properties of the random potentials.

Original language	English
Pages (from-to)	3797-3802
Number of pages	6
Journal	International Journal of Modern Physics B
Volume	18
Issue number	27-29
DOIs	https://doi.org/10.1142/S0217979204027475
Publication status	Published - 2004 Nov 30

Bibliographical note

Funding Information:
SREY thanks D. Chemla and L.V. Butov for useful conversations. This work is supported by Korea Research Foundation grant KRF-2003-015-C00223, and by grant No.(R01-1999-00018) from the interdisciplinary research program of the KOSEF, and by KOSEF R01-2001-00016.

Keywords

Exciton Bose-Einstein condensate
Modulation of the order parameter
Random exciton potential

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Condensed Matter Physics

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10.1142/S0217979204027475

Cite this

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title = "Modulation of order parameter of exciton bose-einstein condensate in a ring",

abstract = "We have studied theoretically the Bose-Einstein condensation (BEC) of two-dimensional excitons in a ring with a random variation of the effective exciton potential along the circumference. We derive a nonlinear Gross-Pitaevkii equation (GPE) for such a condensate, which is valid even in the presence of a weak magnetic field. For several types of the random potentials our numerical solution of the ground state of the GPE displays a necklace-like structure. This is a consequence of the interplay between the random potential and a strong nonlinear repulsive term of the GPE. We have investigated how the mean distance between modulation peaks depends on properties of the random potentials.",

keywords = "Exciton Bose-Einstein condensate, Modulation of the order parameter, Random exciton potential",

author = "Yang, \{S. R.Eric\} and Park, \{Q. Han\} and J. Yeo",

note = "Funding Information: SREY thanks D. Chemla and L.V. Butov for useful conversations. This work is supported by Korea Research Foundation grant KRF-2003-015-C00223, and by grant No.(R01-1999-00018) from the interdisciplinary research program of the KOSEF, and by KOSEF R01-2001-00016.",

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doi = "10.1142/S0217979204027475",

language = "English",

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T1 - Modulation of order parameter of exciton bose-einstein condensate in a ring

AU - Yang, S. R.Eric

AU - Park, Q. Han

AU - Yeo, J.

N1 - Funding Information: SREY thanks D. Chemla and L.V. Butov for useful conversations. This work is supported by Korea Research Foundation grant KRF-2003-015-C00223, and by grant No.(R01-1999-00018) from the interdisciplinary research program of the KOSEF, and by KOSEF R01-2001-00016.

PY - 2004/11/30

Y1 - 2004/11/30

N2 - We have studied theoretically the Bose-Einstein condensation (BEC) of two-dimensional excitons in a ring with a random variation of the effective exciton potential along the circumference. We derive a nonlinear Gross-Pitaevkii equation (GPE) for such a condensate, which is valid even in the presence of a weak magnetic field. For several types of the random potentials our numerical solution of the ground state of the GPE displays a necklace-like structure. This is a consequence of the interplay between the random potential and a strong nonlinear repulsive term of the GPE. We have investigated how the mean distance between modulation peaks depends on properties of the random potentials.

AB - We have studied theoretically the Bose-Einstein condensation (BEC) of two-dimensional excitons in a ring with a random variation of the effective exciton potential along the circumference. We derive a nonlinear Gross-Pitaevkii equation (GPE) for such a condensate, which is valid even in the presence of a weak magnetic field. For several types of the random potentials our numerical solution of the ground state of the GPE displays a necklace-like structure. This is a consequence of the interplay between the random potential and a strong nonlinear repulsive term of the GPE. We have investigated how the mean distance between modulation peaks depends on properties of the random potentials.

KW - Exciton Bose-Einstein condensate

KW - Modulation of the order parameter

KW - Random exciton potential

UR - https://www.scopus.com/pages/publications/17644386857

U2 - 10.1142/S0217979204027475

DO - 10.1142/S0217979204027475

M3 - Article

AN - SCOPUS:17644386857

SN - 0217-9792

VL - 18

SP - 3797

EP - 3802

JO - International Journal of Modern Physics B

JF - International Journal of Modern Physics B

IS - 27-29

ER -

Modulation of order parameter of exciton bose-einstein condensate in a ring

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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