Probing band-center anomaly with the kernel polynomial method

NA Khan, ST Amin - Physica Scripta, 2021 - iopscience.iop.org
We investigate the anomalous behavior of localization length of a non-interacting one-
dimensional Anderson model at zero temperature. We report numerical calculations of the …

Localization of a one-dimensional simple random walk among power-law renewal obstacles

J Poisat, F Simenhaus - The Annals of Applied Probability, 2024 - projecteuclid.org
We consider a one-dimensional simple random walk killed by quenched soft obstacles. The
position of the obstacles is drawn according to a renewal process with a power-law …

Anomalous localization enhancement in one-dimensional non-Hermitian disordered lattices

BP Nguyen, DK Phung, K Kim - Journal of Physics A …, 2020 - iopscience.iop.org
We study numerically the localization properties of eigenstates in a one-dimensional
random lattice described by a non-Hermitian disordered Hamiltonian, where both the …

Anomalies in the 1D Anderson model: Beyond the band-centre and band-edge cases

L Tessieri, FM Izrailev - Physica E: Low-dimensional Systems and …, 2018 - Elsevier
We consider the one-dimensional Anderson model with weak disorder. Using the
Hamiltonian map approach, we analyse the validity of the random-phase approximation for …

Localisation and transport in bidimensional random models with separable Hamiltonians

G Corona-Patricio, U Kuhl, F Mortessagne… - New Journal of …, 2019 - iopscience.iop.org
We consider two bidimensional random models characterised by the following features:(a)
their Hamiltonians are separable in polar coordinates and (b) the random part of the …

1D Anderson model revisited: Band center anomaly for correlated disorder

IF Herrera-González, FM Izrailev, NM Makarov… - Low Temperature …, 2017 - pubs.aip.org
We study the band-center anomaly in the one-dimensional Anderson model with the
disorder characterized by short-range positive correlations. Using the Hamiltonian map …