Electronic Griffiths phase of the d=2 Mott transition

Abstract

We investigate the effects of disorder within the T=0 Brinkman-Rice (BR) scenario for the Mott metal-insulator transition (MIT) in two dimensions (2d). For sufficiently weak disorder the transition retains the Mott character, as signaled by the vanishing of the local quasiparticles (QP) weights Z_{i} and strong disorder screening at criticality. In contrast to the behavior in high dimensions, here the local spatial fluctuations of QP parameters are strongly enhanced in the critical regime, with a distribution function P(Z) ~ Z^{α-1} and αtends to zero at the transition. This behavior indicates a robust emergence of an electronic Griffiths phase preceding the MIT, in a fashion surprisingly reminiscent of the "Infinite Randomness Fixed Point" scenario for disordered quantum magnets.

4+ pages, 5 figures, final version to appear in Physical Review Letters

References in corpus (9)

• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
• Mean field theory of the Mott-Anderson transition
• Effects of dissipation on a quantum critical point with disorder
• Disorder Screening in Strongly Correlated Systems
• Localization-induced Griffiths phase of disordered Anderson lattices
• Infinite randomness fixed point of the superconductor-metal quantum phase transition
• Effects of disorder on the non-zero temperature Mott Transition
• Effective model of the electronic Griffiths phase

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