Localization-delocalization transition in a presence of correlated disorder: The random dimer model

Tigran Sedrakyan

doi:10.1103/PhysRevB.69.085109

Localization-delocalization transition in a presence of correlated disorder: The random dimer model

Tigran Sedrakyan

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

37 Scopus citations

Abstract

The one-dimensional dimer model is investigated and the localization length calculated exactly. The presence of delocalized states at E_c = ε_{a, b} of two possible values of the chemical potential in case of ε_a - ε_b < 2 is confirmed and the corresponding indices of the localization length were calculated. The singular integral equation connecting the density of states with the inverse of the localization length is solved and the analytic expression for the density of states compared with the numerical calculations.

Original language	English (US)
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	69
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevB.69.085109
State	Published - 2004
Externally published	Yes

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10.1103/PhysRevB.69.085109

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title = "Localization-delocalization transition in a presence of correlated disorder: The random dimer model",

abstract = "The one-dimensional dimer model is investigated and the localization length calculated exactly. The presence of delocalized states at Ec = εa, b of two possible values of the chemical potential in case of εa - εb < 2 is confirmed and the corresponding indices of the localization length were calculated. The singular integral equation connecting the density of states with the inverse of the localization length is solved and the analytic expression for the density of states compared with the numerical calculations.",

author = "Tigran Sedrakyan",

year = "2004",

doi = "10.1103/PhysRevB.69.085109",

language = "English (US)",

volume = "69",

journal = "Physical Review B - Condensed Matter and Materials Physics",

issn = "1098-0121",

number = "8",

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TY - JOUR

T1 - Localization-delocalization transition in a presence of correlated disorder

T2 - The random dimer model

AU - Sedrakyan, Tigran

PY - 2004

Y1 - 2004

N2 - The one-dimensional dimer model is investigated and the localization length calculated exactly. The presence of delocalized states at Ec = εa, b of two possible values of the chemical potential in case of εa - εb < 2 is confirmed and the corresponding indices of the localization length were calculated. The singular integral equation connecting the density of states with the inverse of the localization length is solved and the analytic expression for the density of states compared with the numerical calculations.

AB - The one-dimensional dimer model is investigated and the localization length calculated exactly. The presence of delocalized states at Ec = εa, b of two possible values of the chemical potential in case of εa - εb < 2 is confirmed and the corresponding indices of the localization length were calculated. The singular integral equation connecting the density of states with the inverse of the localization length is solved and the analytic expression for the density of states compared with the numerical calculations.

UR - https://www.scopus.com/pages/publications/1842427442

UR - https://www.scopus.com/pages/publications/1842427442#tab=citedBy

U2 - 10.1103/PhysRevB.69.085109

DO - 10.1103/PhysRevB.69.085109

M3 - Article

AN - SCOPUS:1842427442

SN - 1098-0121

VL - 69

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 8

ER -

Localization-delocalization transition in a presence of correlated disorder: The random dimer model

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