Nonergodic extended states in the ensemble

AK Das, A Ghosh - Physical Review E, 2022 - APS
Matrix models showing a chaotic-integrable transition in the spectral statistics are important
for understanding many-body localization (MBL) in physical systems. One such example is …

Disorder perturbed flat bands. II. Search for criticality

P Shukla - Physical Review B, 2018 - APS
We present a common mathematical formulation of the level statistics of a disordered tight-
binding lattice, with one or many flat bands in the clean limit, in which system-specific details …

Statistical analysis of chiral structured ensembles: role of matrix constraints

T Mondal, P Shukla - Physical Review E, 2019 - APS
We analyze the statistical properties of complex systems with specific conservation laws and
symmetry conditions which lead to various constraints and thereby structures in their matrix …

Circulant L-ensembles in the thermodynamic limit

PJ Forrester - Journal of Physics A: Mathematical and Theoretical, 2021 - iopscience.iop.org
L-ensembles are a class of determinantal point processes which can be viewed as a
statistical mechanical systems in the grand canonical ensemble. Circulant L-ensembles are …

Spectral and strength statistics of chiral Brownian ensemble

P Shukla - Journal of Physics A: Mathematical and Theoretical, 2021 - iopscience.iop.org
Multi-parametric chiral random matrix ensembles are important tools to analyze the
statistical behavior of generic complex systems with chiral symmetry. A recent study (Mondal …