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We study localization properties of electronic states in one-dimensional lattices with nearest-neighbour interaction. Both the site energies and the hopping amplitudes are supposed to be of arbitrary form. A few cases are considered in…

Disordered Systems and Neural Networks · Physics 2009-10-31 L. Tessieri , F. M. Izrailev

Localization property in the disordered few-chain DNA systems with a long-range correlation is numerically investigated. We apply the chain system with the correlated disorder in the interchain and/or intrachain hoppings to the simple model…

Disordered Systems and Neural Networks · Physics 2009-09-29 Hiroaki Yamada

We examine spin excitation or polarization transfer via long-range interacting spin chains with diagonal and off-diagonal disorder. To this end, we determine the mean localization length of the single-excitation eigenstates of the chain for…

Systems with purely off-diagonal disorder have peculiar features such as the localization-delocalization transition and long-range correlations in their wavefunctions. To motivate possible experimental studies of the physics of off-diagonal…

Quantum Physics · Physics 2016-01-06 Qifang Zhao , Jiangbin Gong

We examine the localization properties of the 2D Anderson Hamiltonian with off-diagonal disorder. Investigating the behavior of the participation numbers of eigenstates as well as studying their multifractal properties, we find states in…

Disordered Systems and Neural Networks · Physics 2009-10-30 Andrzej Eilmes , Rudolf A. Roemer , Michael Schreiber

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 absolutely continuous energy bands. It can be…

Disordered Systems and Neural Networks · Physics 2016-09-09 Atanu Nandy , Biplab Pal , Arunava Chakrabarti

We perform both analytical and numerical studies of the one-dimensional tight-binding Hamiltonian with stochastic uncorrelated on-site energies and non-fluctuating long-range hopping integrals . It was argued recently [A. Rodriguez at al.,…

Disordered Systems and Neural Networks · Physics 2009-11-10 F. A. B. F. de Moura , A. V. Malyshev , M. L. Lyra , V. A. Malyshev , F. Dominguez-Adame

The localization behavior of the one-dimensional Anderson model with correlated and uncorrelated purely off-diagonal disorder is studied. Using the transfer matrix method, we derive an analytical expression for the localization length at…

Disordered Systems and Neural Networks · Physics 2009-11-11 H. Cheraghchi , S. M. Fazeli , K. Esfarjani

We study quantum percolation which is described by a tight-binding Hamiltonian containing only off-diagonal hopping terms that are generally in quenched binary disorder (zero or one). In such a system, transmission of a quantum particle is…

Disordered Systems and Neural Networks · Physics 2007-09-20 Md Fhokrul Islam , Hisao Nakanishi

We present a statistical analysis on the performance of a protocol for the faithful transfer of a quantum state in finite qubit or spin chains, in the presence of diagonal and off-diagonal disorder. It is shown that the average-state…

Quantum Physics · Physics 2013-04-10 Georgios M. Nikolopoulos

We study numerically a disordered transverse-field Ising Hamiltonian with long-range couplings. This model was recently investigated experimentally in a trapped-ion quantum simulator and was found to exhibit features of many-body…

Disordered Systems and Neural Networks · Physics 2016-03-01 Yang-Le Wu , S. Das Sarma

We study the hopping transport of a quantum particle through randomly diluted percolation clusters in two dimensions realized both on the square and triangular lattices. We investigate the nature of localization of the particle by…

Disordered Systems and Neural Networks · Physics 2007-09-27 Md Fhokrul Islam , Hisao Nakanishi

We study one-dimensional systems with random diagonal disorder but off-diagonal short-range correlations imposed by structural constraints. We find that these correlations generate effective conduction channels for finite systems. At a…

Disordered Systems and Neural Networks · Physics 2009-11-10 Wei Zhang , Sergio E. Ulloa

In this study, we perform a detailed investigation into the interplay between disorder-induced electron localization and long-range hopping amplitudes within the Selective Long-Range Tight-Binding Model (SLRTB). Through numerical…

Strongly Correlated Electrons · Physics 2025-03-12 Mohammad Pouranvari

We examine the speed and fidelity of several protocols for state or single excitation transfer in finite spin chains subject to diagonal and off-diagonal disorder. We find that, for a given chain length and maximal achievable inter-spin…

Quantum Physics · Physics 2010-04-19 David Petrosyan , Georgios M. Nikolopoulos , P. Lambropoulos

We investigate electron transport in disordered Hubbard chains contacted to macroscopic leads, via the non-equilibrium Green's functions technique. We observe a cross-over of currents and conductances at finite bias which depends on the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Daniel Karlsson , Claudio Verdozzi

In the present work, we investigated the correlation-induced localization-delocalization transition in the one-dimensional tight-binding model with fractal disorder. We obtained a phase transition diagram from localized to extended states…

Disordered Systems and Neural Networks · Physics 2015-08-26 Hiroaki S. Yamada

We analyse the anomalous properties of specific electronic states in the Kronig-Penney model with weak compositional and structural disorder. Using the Hamiltonian map approach, we show that the localisation length of the electronic states…

Disordered Systems and Neural Networks · Physics 2010-10-06 J. C. Hernández-Herrejón , F. M. Izrailev , L. Tessieri

We analyse the performance of two quantum-state-transfer Hamiltonians in the presence of diagonal and off-diagonal disorder, and in terms of different measures. The first Hamiltonian pertains to a fully-engineered chain and the second to a…

Quantum Physics · Physics 2016-08-04 Alexander K. Pavlis , Georgios M. Nikolopoulos , Peter Lambropoulos

We discuss physical properties of strongly correlated electron states for a linear chain obtained with the help of the recently proposed new method combining the exact diagonalization in the Fock space with an ab initio readjustment of the…

Strongly Correlated Electrons · Physics 2007-05-23 Adam Rycerz , Jozef Spalek
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