Dresden 2006 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.1: Poster

Donnerstag, 30. März 2006, 16:00–18:00, P1

Level-Statistics of Disordered Systems: A Single Parametric Formulation — •Pragya Shukla — Department of Physics, IIT Kharagpur-721302, West Bengal, India

We present an analytical formulation for the statistics of energy levels of disordered systems, with/without e-e interactions, and, of arbitrary dimensions and boundary conditions. We find that the statistics behaves in a way similar to that of the single parametric Brownian ensembles. The latter appear during a Poisson → Wigner-Dyson transition, driven by a random perturbation. The analogy provides the analytical evidence for the single parameter scaling of the level-correlations in disordered systems at the metal-insulator transition as well as a tool to obtain them at the critical point for a wide range of disorders. The analogy also helps us to reveal many important features of the level-statistics in interacting systems e.g. a critical point behavior different from that of non-interacting systems, the possibility of extended states even in one dimension and a universal formulation of level correlations.

Reference:

(1) RANDOM MATRICES WITH CORRELATED ELEMENTS: A MODEL FOR DISORDER WITH INTERACTIONS PRAGYA SHUKLA, Phys. Rev. E, (71), (2005), 026266.

(2) LEVEL-STATISTICS IN DISORDERED SYSTEMS: A SINGLE PARAMETRIC SCALING AND CONNECTION TO BROWNIAN ENSEMBLES PRAGYA SHUKLA, J. Phys.: Condens. Matter 17, (2005) 1653-1677.