Cluster Dynamical Mean Field Theory of the Mott Transition

Abstract

We address the nature of the Mott transition in the Hubbard model at half-filling using cluster Dynamical Mean Field Theory (DMFT). We compare cluster DMFT results with those of single site DMFT. We show that inclusion of the short range correlations on top of the on-site correlations, already treated exactly in single site DMFT, do not change the nature of the transition between the paramagnetic metal and the paramagnetic Mott insulator, which remains first order. However, the short range correlations reduce substantially the critical $U$ and modify the shape of transition lines. Moreover, they lead to very different physical properties of the metallic and insulating phases near the transition, in particular in the region of the phase diagram where the two solutions coexist. Approaching the transition from the metallic side, we find an anomalous metallic state with very low coherence scale at temperatures as low as $T=0.01t$. The insulating state is characterized by the relatively narrow Mott gap with pronounced peaks at the gap edge.

5 pages, 4 figures

References in corpus (15)

• Quantum Cluster Theories
• A continuous-time solver for quantum impurity models
• Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
• Quantum Monte Carlo Impurity Solver for Cluster DMFT and Electronic Structure Calculations in Adjustable Base
• Universality and Critical Behavior at the Mott transition
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
• Correlated metallic state of vanadium dioxide
• Cluster Dynamical Mean Field analysis of the Mott transition
• Transport criticality of the first-order Mott transition in a quasi-two-dimensional organic conductor, $\kappa$-(BEDT-TTF)${}_2$Cu[N(CN)${}_2$]Cl
• Absence of a Slater Transition in The Two-Dimensional Hubbard Model
• Finite temperature Mott transition in Hubbard model on anisotropic triangular lattice
• Pseudogap and Mott Transition Studied by Cellular Dynamical Mean Field Theory
• Magnetism and d-wave superconductivity on the half-filled square lattice with frustration
• Mott Transitions in the 2D Half-Filled Hubbard Model: Correlator Projection Method with Projective Dynamical Mean-Field Approximation

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