Spectral and transmission properties of periodic 1D tight-binding lattices with a generic unit cell: an analysis within the transfer matrix approach

K Lambropoulos, C Simserides - Journal of Physics …, 2018 - iopscience.iop.org
We report on the electronic structure, density of states and transmission properties of the
periodic one-dimensional tight-binding (TB) lattice with a single orbital per site and nearest …

Controlled engineering of extended states in disordered systems

A Rodriguez, A Chakrabarti, RA Römer - Physical Review B—Condensed …, 2012 - APS
We describe how to engineer wave-function delocalization in disordered systems modeled
by tight-binding Hamiltonians in d> 1 dimensions. We show analytically that a simple …

Tight-binding chains with off-diagonal disorder: Bands of extended electronic states induced by minimal quasi–one-dimensionality

A Nandy, B Pal, A Chakrabarti - Europhysics Letters, 2016 - iopscience.iop.org
It is shown that an entire class of off-diagonally disordered linear lattices composed of two
basic building blocks and described within a tight-binding model can be tailored to generate …

Complete absence of localization in a family of disordered lattices

B Pal, SK Maiti, A Chakrabarti - Europhysics Letters, 2013 - iopscience.iop.org
We present analytically exact results to show that certain quasi–one-dimensional lattices,
where the building blocks are arranged in a random fashion, can have an absolutely …

[HTML][HTML] Engineering bands of extended electronic states in a class of topologically disordered and quasiperiodic lattices

B Pal, A Chakrabarti - Physics Letters A, 2014 - Elsevier
We show that a discrete tight-binding model representing either a random or a quasiperiodic
array of bonds can have the entire energy spectrum or a substantial part of it absolutely …

Localization of wave packets in one-dimensional random potentials

JPR Valdes, T Wellens - Physical Review A, 2016 - APS
We study the expansion of an initially strongly confined wave packet in a one-dimensional
weak random potential with short correlation length. At long times, the expansion of the …

Absolutely continuous energy bands in the electronic spectrum of quasiperiodic ladder networks

B Pal, A Chakrabarti - Physica E: Low-dimensional Systems and …, 2014 - Elsevier
The energy spectra of quasi-one-dimensional quasiperiodic ladder networks are analyzed
within a tight binding description. In particular, we show that if a selected set of sites in each …

[PDF][PDF] 一维转移矩阵中元素间关系的探讨

史义龙, 娄平 - 大学物理, 2007 - dxwl.bnu.edu.cn
一维转移矩阵中元素间的关系可以通过多种方法求解. 本文首先介绍了在V ()=(一)
条件下求解转移矩阵中元素间关系的一般方法, 即在确定的字称下如何找出元素间的具体关系; …

Transfer efficiency enhancement and eigenstate properties in locally symmetric disordered finite chains

CV Morfonios, M Röntgen, FK Diakonos, P Schmelcher - Annals of Physics, 2020 - Elsevier
The impact of local reflection symmetry on wave localization and transport within finite
disordered chains is investigated. Local symmetries thereby play the role of a spatial …

Parametrization of Transfer Matrix: for One-Dimensional Anderson Model with Diagonal Disorder

K Kai, Q Shao-Jing, W Chui-Lin - Communications in Theoretical …, 2010 - iopscience.iop.org
In this paper, we developed a new parametrization method to calculate the localization
length in one-dimensional Anderson model with diagonal disorder. This method can avoid …