Strongly disordered Hubbard model in one dimension: spin and orbital infinite randomness and Griffiths phases

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dc.creatorMélin, R.
dc.creatorIglói, F.
dc.date2006-07-11
dc.date.accessioned2026-07-07T07:15:56Z
dc.date.available2026-07-07T07:15:56Z
dc.descriptionWe study by the strong disorder renormalization group (RG) method the low-energy properties of the one-dimensional Hubbard model with random-hopping matrix-elements $t_{min}<t<t_{max}$, and with random on-site Coulomb repulsion terms $0 \le U_{min}<U<U_{max}$. There are two critical phases, corresponding to an infinite randomness spin random singlet for strong interactions ($U_{min} > t_{max}$) and to an orbital infinite randomness fixed point for vanishing interactions ($U_{max}/t_{max} \to 0$). To each critical infinite randomness fixed point is connected a Griffiths phase, the correlation length and dynamical exponent of which have well defined asymptotic dependences on the corresponding quantum control parameter. The theoretical predictions for the scaling in the vicinity of the critical points compare well to numerical RG simulations.
dc.description9 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0607269
dc.identifierhttp://arxiv.org/abs/cond-mat/0607269
dc.identifierPhys. Rev. B 74, 155104 (2006)
dc.identifierdoi:10.1103/PhysRevB.74.155104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113403
dc.subjectDisordered Systems and Neural Networks
dc.subjectStrongly Correlated Electrons
dc.titleStrongly disordered Hubbard model in one dimension: spin and orbital infinite randomness and Griffiths phases
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