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Importance of subleading corrections for the Mott critical point

Patrick Sémon and A.-M. S. Tremblay
Phys. Rev. B 85, 201101(R) – Published 1 May 2012

Abstract

The interaction-induced metal-insulator transition should be in the Ising universality class. Experiments on layered organic superconductors suggest instead that the observed critical endpoint of the first-order Mott transition in d=2 does not belong to any of the known universality classes for thermal phase transitions. In particular, it is found that δ=2. Given the quantum nature of the two phases involved in the transition, we use dynamical mean-field theory and a cluster generalization to investigate whether the unusual exponents could arise as transient quantum behavior preceding the asymptotic critical behavior. In the cluster calculation, a canonical transformation that minimizes the sign problem in continuous-time quantum Monte Carlo calculations allows large improvements in accuracy. Our results show that there are important subleading corrections in the mean-field regime that can lead to an apparent exponent δ=2. Experiments on optical lattices could verify our predictions for double occupancy.

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  • Received 17 October 2011

DOI:https://doi.org/10.1103/PhysRevB.85.201101

©2012 American Physical Society

Authors & Affiliations

Patrick Sémon1 and A.-M. S. Tremblay1,2

  • 1Département de physique and Regroupement québécois sur les matériaux de pointe, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
  • 2Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8

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Vol. 85, Iss. 20 — 15 May 2012

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