Random Interaction Matrix Ensembles in Mesoscopic Physics

Manan Vyas

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arXiv · 1004.2761

Random Interaction Matrix Ensembles in Mesoscopic Physics

Manan Vyas

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Abstract

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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Manan Vyas. 2010-04-16. Random Interaction Matrix Ensembles in Mesoscopic Physics. https://arxiv.org/abs/1004.2761

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