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

R. Mélin, F. Iglói

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We study by the strong disorder renormalization group (RG) method the low-energy properties of the one-dimensional Hubbard model with random-hopping matrix-elements tmin <t< tmax, and with random onsite Coulomb repulsion terms 0≤ Umin <U< Umax. There are two critical phases, corresponding to an infinite randomness spin random singlet for strong interactions (Umin > tmax) and to an orbital infinite randomness fixed point for vanishing interactions (Umax tmax →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.

Original languageEnglish
Article number155104
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume74
Issue number15
DOIs
Publication statusPublished - Oct 11 2006

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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