Random Interaction Matrix Ensembles in Mesoscopic Physics
Abstract
We analyze several ground state related properties of mesoscopic systems using the random interaction matrix model EGOE(1+2)- (or RIMM) for many fermion systems with spin degree of freedom and the Hamiltonian containing pairing and exchange interactions in addition to the mean-field one-body and random two-body parts. RIMM reproduces the essential features of various properties: odd-even staggering in ground state energies as a function of particle number, delay in ground state magnetization and conductance peak spacing distributions. The analytical formula, we have derived, for the ensemble averaged spectral variances provides a simple understanding of some of these properties.
Cite
@article{arxiv.1004.2761,
title = {Random Interaction Matrix Ensembles in Mesoscopic Physics},
author = {Manan Vyas},
journal= {arXiv preprint arXiv:1004.2761},
year = {2010}
}
Comments
16 pages, 11 figures, To appear in the proceedings of the National Seminar on "New Frontiers in Nuclear, Hadron and Mesoscopic Physics", eds: V.K.B. Kota, A. Pratap, Allied Publishers, 2010.