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

Article

关键词: HEISENBERG ANTIFERROMAGNETIC CHAIN;    ANTI-FERROMAGNETIC CHAIN;    ANDERSON LOCALIZATION;    CRITICAL-BEHAVIOR;    PEIERLS SYSTEMS;    QUINOLINIUM(TCNQ)2;    SUSCEPTIBILITY;    ABSENCE;    O-TAS3;    STATE;   

DOI  :  10.1103/PhysRevB.74.155104

来源: SCIE

【 摘 要 】

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 t(min)< t < t(max), and with random onsite Coulomb repulsion terms 0 <= 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)-> 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.

【 授权许可】

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