Electronic Griffiths Phase of the d=2 Mott Transition

E. C. Andrade, E. Miranda, and V. Dobrosavljević
Phys. Rev. Lett. 102, 206403 – Published 20 May 2009

Abstract

We investigate the effects of disorder within the T=0 Brinkman-Rice scenario for the Mott metal-insulator transition in two dimensions. For sufficiently weak disorder the transition retains the Mott character, as signaled by the vanishing of the local quasiparticle weights Zi and strong screening of the renormalized site energies at criticality. In contrast to the behavior in high dimensions, here the local spatial fluctuations of quasiparticle parameters are strongly enhanced in the critical regime, with a distribution function P(Z)Zα1 and α0 at the transition. This behavior indicates a robust emergence of an electronic Griffiths phase preceding the metal-insulator transition, in a fashion surprisingly reminiscent of the “infinite randomness fixed point” scenario for disordered quantum magnets.

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  • Received 6 August 2008

DOI:https://doi.org/10.1103/PhysRevLett.102.206403

©2009 American Physical Society

Authors & Affiliations

E. C. Andrade1,2, E. Miranda2, and V. Dobrosavljević1

  • 1Department of Physics and National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32306, USA
  • 2Instituto de Física Gleb Wataghin, Unicamp, Caixa Postal 6165, Campinas, São Paulo 13083-970, Brazil

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Vol. 102, Iss. 20 — 22 May 2009

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