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Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range Interaction

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  • Victor Chulaevsky

Abstract

We adapt the method of direct scaling analysis developed earlier for single-particle Anderson models, to the fermionic multiparticle models with finite or infinite interaction on graphs. Combined with a recent eigenvalue concentration bound for multiparticle systems, the new method leads to a simpler proof of the multiparticle dynamical localization with optimal decay bounds in a natural distance in the multiparticle configuration space, for a large class of strongly mixing random external potentials. Earlier results required the random potential to be IID.

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  • Victor Chulaevsky, 2016. "Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range Interaction," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-17, February.
    • Handle: RePEc:hin:jnlamp:2129682
    DOI: 10.1155/2016/2129682
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