Random Interaction Matrix Ensembles in Mesoscopic Physics

Details Random Interaction Matrix Ensembles in Mesoscopic Physics Random Interaction Matrix Ensembles in Mesoscopic Physics

2010-04-16

arxiv.org/abs/1004.2761v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

16 pages, 11 figures, To appear in the proceedings of the National Seminar on "New Frontiers in Nuclear, Hadron and Mesoscopic

Scientific paper

We analyze several ground state related properties of mesoscopic systems using the random interaction matrix model EGOE(1+2)-$\cs$ (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.

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