@article{ISI:000342050900001,
 abstract = {Using numerical diagonalization we study the crossover among different
random matrix ensembles (Poissonian, Gaussian orthogonal ensemble (GOE),
Gaussian unitary ensemble (GUE) and Gaussian symplectic ensemble (GSE))
realized in two different microscopic models. The specific diagnostic
tool used to study the crossovers is the level spacing distribution. The
first model is a one-dimensional lattice model of interacting hard-core
bosons (or equivalently spin 1/2 objects) and the other a higher
dimensional model of non-interacting particles with disorder and
spin-orbit coupling. We find that the perturbation causing the crossover
among the different ensembles scales to zero with system size as a power
law with an exponent that depends on the ensembles between which the
crossover takes place. This exponent is independent of microscopic
details of the perturbation. We also find that the crossover from the
Poissonian ensemble to the other three is dominated by the Poissonian to
GOE crossover which introduces level repulsion while the crossover from
GOE to GUE or GOE to GSE associated with symmetry breaking introduces a
subdominant contribution. We also conjecture that the exponent is
dependent on whether the system contains interactions among the
elementary degrees of freedom or not and is independent of the
dimensionality of the system.},
 article-number = {093016},
 author = {Modak, Ranjan and Mukerjee, Subroto},
 doi = {10.1088/1367-2630/16/9/093016},
 issn = {1367-2630},
 journal = {NEW JOURNAL OF PHYSICS},
 month = {SEP 15},
 researcherid-numbers = {Modak, Ranjan/AAS-4353-2020},
 times-cited = {15},
 title = {Finite size scaling in crossover among different random matrix ensembles
in microscopic lattice models},
 unique-id = {ISI:000342050900001},
 volume = {16},
 year = {2014}
}