Derivation of Line Shape Function in the Optical Conductivity by a New Diagram Method

A new diagram method for the line shape function in the optical conductivity formula is introduced and the result obtained applying the method to an electron-phonon system is compared with that derived using the projection-reduction method. The result satisfies the population criterion, which states...

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Main Authors: Nam Lyong Kang, Sang Don Choi
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Advances in Condensed Matter Physics
Online Access:http://dx.doi.org/10.1155/2014/560287
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author Nam Lyong Kang
Sang Don Choi
author_facet Nam Lyong Kang
Sang Don Choi
author_sort Nam Lyong Kang
collection DOAJ
description A new diagram method for the line shape function in the optical conductivity formula is introduced and the result obtained applying the method to an electron-phonon system is compared with that derived using the projection-reduction method. The result satisfies the population criterion, which states that the distribution functions for electrons and phonons should be combined in multiplicative forms and gives physical intuition to quantum dynamics of electrons in a solid. This method can be called the “KC diagram” method because it originates from the proper application of the Kang-Choi reduction identity and a state-dependent projection operator.
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institution Kabale University
issn 1687-8108
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publishDate 2014-01-01
publisher Wiley
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series Advances in Condensed Matter Physics
spelling doaj-art-d32ef83339414f029a3018d453e8c5142025-02-03T01:23:42ZengWileyAdvances in Condensed Matter Physics1687-81081687-81242014-01-01201410.1155/2014/560287560287Derivation of Line Shape Function in the Optical Conductivity by a New Diagram MethodNam Lyong Kang0Sang Don Choi1Department of Applied Nanoscience, Pusan National University, Miryang 627-706, Republic of KoreaDepartment of Physics, Kyungpook National University, Daegu 702-701, Republic of KoreaA new diagram method for the line shape function in the optical conductivity formula is introduced and the result obtained applying the method to an electron-phonon system is compared with that derived using the projection-reduction method. The result satisfies the population criterion, which states that the distribution functions for electrons and phonons should be combined in multiplicative forms and gives physical intuition to quantum dynamics of electrons in a solid. This method can be called the “KC diagram” method because it originates from the proper application of the Kang-Choi reduction identity and a state-dependent projection operator.http://dx.doi.org/10.1155/2014/560287
spellingShingle Nam Lyong Kang
Sang Don Choi
Derivation of Line Shape Function in the Optical Conductivity by a New Diagram Method
Advances in Condensed Matter Physics
title Derivation of Line Shape Function in the Optical Conductivity by a New Diagram Method
title_full Derivation of Line Shape Function in the Optical Conductivity by a New Diagram Method
title_fullStr Derivation of Line Shape Function in the Optical Conductivity by a New Diagram Method
title_full_unstemmed Derivation of Line Shape Function in the Optical Conductivity by a New Diagram Method
title_short Derivation of Line Shape Function in the Optical Conductivity by a New Diagram Method
title_sort derivation of line shape function in the optical conductivity by a new diagram method
url http://dx.doi.org/10.1155/2014/560287
work_keys_str_mv AT namlyongkang derivationoflineshapefunctionintheopticalconductivitybyanewdiagrammethod
AT sangdonchoi derivationoflineshapefunctionintheopticalconductivitybyanewdiagrammethod