ISSN: 2349-5162

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Published in:

Volume 5 Issue 1
January-2018
eISSN: 2349-5162

Unique Identifier

JETIR1801194

Page Number

1040-1043

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Title

Study of Finite Width Effects on Wigner Crystallization in Symmetric Electron-Hole Bilayer

ISSN

2349-5162

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"Study of Finite Width Effects on Wigner Crystallization in Symmetric Electron-Hole Bilayer", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 1, page no.1040-1043, January-2018, Available :http://www.jetir.org/papers/JETIR1801194.pdf

Abstract

We examine the role played by the finite width of the layers in determining the critical density for the onset of Wigner crystallization in a symmetric electron-hole bilayer system. Such a phase transition can appear, for instance, in the liquid-state static density susceptibility in the form of a divergence at a wave vector representing the period of density prevailing in the crystal phase. In this perspective, we have theoretically calculated the static density susceptibility over a wide range of the carrier density and the interlayer spacing d, by incorporating the effect of finite width of the two layers. The correlations among carriers (both the intra- and interlayre) are treated beyond the static mean-field theories by using the dynamical self-consistent mean-field approximation of Hasegawa and Shimizu. Our study reveals, parallel to the one where finite width effects are ignored, that the electron-hole liquid may become unstable with respect to the Wigner crystal phase above a critical value (say ) for d lower than a critical spacing, while the charge-density-wave state might be the stable phase for turns out to be lower as compared to the corresponding value for an isolated layer, and thus implying that the electron-hole correlations act to stabilize the Wigner crystal phase over the homogeneous liquid phase. On comparison of our results with similar studies without finite width effects, we find that the inclusion of these effects have tendency to augment the critical for Winger crystallization.

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"Study of Finite Width Effects on Wigner Crystallization in Symmetric Electron-Hole Bilayer", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 1, page no. pp1040-1043, January-2018, Available at : http://www.jetir.org/papers/JETIR1801194.pdf

Publication Details

Published Paper ID: JETIR1801194
Registration ID: 222392
Published In: Volume 5 | Issue 1 | Year January-2018
DOI (Digital Object Identifier):
Page No: 1040-1043
ISSN Number: 2349-5162

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Cite This Article

"Study of Finite Width Effects on Wigner Crystallization in Symmetric Electron-Hole Bilayer", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 1, page no. pp1040-1043, January-2018, Available at : http://www.jetir.org/papers/JETIR1801194.pdf




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