Dimer impurity effect on the 1D density of states

H. Bahlouli; A. Al Zahrani; E. El Aaoud; S. M. Al-Marzoug

doi:10.1016/j.physb.2010.08.021

Dimer impurity effect on the 1D density of states

H. Bahlouli^*, A. Al Zahrani, E. El Aaoud, S. M. Al-Marzoug

^*Corresponding author for this work

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

Abstract

We study the effect of a dimer impurity on the local density of states (LDOS) associated with 1D tight binding Hamiltonian. Theoretical analysis is carried out by studying the resulting three-term recursion relation corresponding to the tridiagonal representation of the system Hamiltonian. We found a closed form expression for the perturbed LDOS in terms of the unperturbed one with a pre-factor that carries information on both location and potential strength of the dimer impurity.

Original language	English
Pages (from-to)	4492-4496
Number of pages	5
Journal	Physica B: Condensed Matter
Volume	405
Issue number	21
DOIs	https://doi.org/10.1016/j.physb.2010.08.021
State	Published - 1 Nov 2010

Bibliographical note

Funding Information:
The authors acknowledge the support of King Fahd University of Petroleum and Minerals under project FT090003.

Keywords

Density of states
Dimer
Recursion relations
Tridiagonal matrices

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Electrical and Electronic Engineering

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10.1016/j.physb.2010.08.021

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title = "Dimer impurity effect on the 1D density of states",

abstract = "We study the effect of a dimer impurity on the local density of states (LDOS) associated with 1D tight binding Hamiltonian. Theoretical analysis is carried out by studying the resulting three-term recursion relation corresponding to the tridiagonal representation of the system Hamiltonian. We found a closed form expression for the perturbed LDOS in terms of the unperturbed one with a pre-factor that carries information on both location and potential strength of the dimer impurity.",

keywords = "Density of states, Dimer, Recursion relations, Tridiagonal matrices",

author = "H. Bahlouli and \{Al Zahrani\}, A. and \{El Aaoud\}, E. and Al-Marzoug, \{S. M.\}",

note = "Funding Information: The authors acknowledge the support of King Fahd University of Petroleum and Minerals under project FT090003. ",

year = "2010",

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doi = "10.1016/j.physb.2010.08.021",

language = "English",

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journal = "Physica B: Condensed Matter",

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T1 - Dimer impurity effect on the 1D density of states

AU - Bahlouli, H.

AU - Al Zahrani, A.

AU - El Aaoud, E.

AU - Al-Marzoug, S. M.

N1 - Funding Information: The authors acknowledge the support of King Fahd University of Petroleum and Minerals under project FT090003.

PY - 2010/11/1

Y1 - 2010/11/1

N2 - We study the effect of a dimer impurity on the local density of states (LDOS) associated with 1D tight binding Hamiltonian. Theoretical analysis is carried out by studying the resulting three-term recursion relation corresponding to the tridiagonal representation of the system Hamiltonian. We found a closed form expression for the perturbed LDOS in terms of the unperturbed one with a pre-factor that carries information on both location and potential strength of the dimer impurity.

AB - We study the effect of a dimer impurity on the local density of states (LDOS) associated with 1D tight binding Hamiltonian. Theoretical analysis is carried out by studying the resulting three-term recursion relation corresponding to the tridiagonal representation of the system Hamiltonian. We found a closed form expression for the perturbed LDOS in terms of the unperturbed one with a pre-factor that carries information on both location and potential strength of the dimer impurity.

KW - Density of states

KW - Dimer

KW - Recursion relations

KW - Tridiagonal matrices

UR - https://www.scopus.com/pages/publications/77957155816

U2 - 10.1016/j.physb.2010.08.021

DO - 10.1016/j.physb.2010.08.021

M3 - Article

AN - SCOPUS:77957155816

SN - 0921-4526

VL - 405

SP - 4492

EP - 4496

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

IS - 21

ER -

Dimer impurity effect on the 1D density of states

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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