Electronic Griffiths phase of the d=2 Mott transition

Details Electronic Griffiths phase of the d=2 Mott transition Electronic Griffiths phase of the d=2 Mott transition

2008-08-06

arxiv.org/abs/0808.0913v2

Phys. Rev. Lett. 102, 206403 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevLett.102.206403

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^{\alpha-1} and \alpha tends 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.

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