Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range Interaction
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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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1990 ◽
Vol 2
(36)
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pp. 7493-7501
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1996 ◽
Vol 108
(1)
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pp. 849-859
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2015 ◽
Vol 27
(04)
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pp. 1550010
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2009 ◽
Vol 12
(4)
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pp. 381-444
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