Entanglement contour perspective for “strong area-law violation” in a disordered long-range hop** model

N Roy, A Sharma - Physical Review B, 2018 - APS
We numerically investigate the link between the delocalization-localization transition and
entanglement in a disordered long-range hop** model of spinless fermions by studying …

Critical dynamics of long-range quantum disordered systems

W Chen, G Lemarié, J Gong - Physical Review E, 2023 - APS
Long-range hop**s in quantum disordered systems are known to yield quantum
multifractality, the features of which can go beyond the characteristic properties associated …

Transport phenomena and correlation dynamics of a one-dimensional effective Hamiltonian equivalent to the hexagonal Harper model

S Dhara, D Sahu, M Singh, S Gangadharaiah - Physical Review B, 2024 - APS
The phase diagram of the one-dimensional hexagonal Harper (HH) model reveals the
presence of two metallic phases and one insulating phase, separated by critical lines and a …

Generalized Dyson model: Nature of the zero mode and its implication in dynamics

G De Tomasi, S Roy, S Bera - Physical Review B, 2016 - APS
We study the role of the anomalous E= 0 state in dynamical properties of noninteracting
fermionic chains with chiral symmetry and correlated bond disorder in one dimension. These …

Wave-function extreme value statistics in Anderson localization

PRN Falcão, ML Lyra - Physical Review B, 2022 - APS
We consider a disordered one-dimensional tight-binding model with power-law decaying
hop** amplitudes to disclose wave-function maximum distributions related to the …

Statistics of the two-point transmission at anderson localization transitions

C Monthus, T Garel - Physical Review B—Condensed Matter and Materials …, 2009 - APS
At Anderson critical points, the statistics of the two-point transmission TL for disordered
samples of linear size L is expected to be multifractal with the following properties [Janssen …

[HTML][HTML] From modulational instability to self-trap** in nonlinear chains with power-law hop** amplitudes

WS Dias, JFA Sousa, ML Lyra - Physica A: Statistical Mechanics and its …, 2019 - Elsevier
The modulational instability problem in tight-binding nonlinear chains with long-ranged
hop** amplitudes decaying as 1∕ r α is investigated. Exploring that the spectral …

Diffusive, super-diffusive and ballistic transport in the long-range correlated 1D Anderson model

B Santos, LP Viana, ML Lyra, F de Moura - Solid state communications, 2006 - Elsevier
In this paper, we study the 1D Anderson model with long-range correlated on-site energies.
This diagonal-correlated disorder is considered in such a way that the random sequence of …

Anderson transitions: multifractal or non-multifractal statistics of the transmission as afunction of the scattering geometry

C Monthus, T Garel - Journal of Statistical Mechanics: Theory and …, 2009 - iopscience.iop.org
The scaling theory of Anderson localization is based on a global conductance g L that
remains a random variable of order O (1) at criticality. One realization of such a conductance …

Stationary and dynamical aspects of two-magnon states in disordered ferromagnetic chains

EM Nascimento, F de Moura, ML Lyra - Physical Review B—Condensed Matter …, 2005 - APS
We study the nature of collective two-spin excitations in disordered S= 1∕ 2 ferromagnetic
chains. Using a direct diagonalization scheme, we characterize the two-magnon eigenstates …