First order Mott transition at zero temperature in two dimensions: Variational plaquette study

Abstract

The nature of the metal-insulator Mott transition at zero temperature has been discussed for a number of years. Whether it occurs through a quantum critical point or through a first order transition is expected to profoundly influence the nature of the finite temperature phase diagram. In this paper, we study the zero temperature Mott transition in the two-dimensional Hubbard model on the square lattice with the variational cluster approximation. This takes into account the influence of antiferromagnetic short-range correlations. By contrast to single-site dynamical mean-field theory, the transition turns out to be first order even at zero temperature.

6 pages, 5 figures, version 2 with additional results for 8 bath sites

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• Pyqcm: An open-source Python library for quantum cluster methods
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• Magnetic phase diagram and Mott transition of the half-filled 1/5-depleted Hubbard model with frustration
• Metal-Insulator Transition of Dirac Fermions: Variational Cluster Study
• Inclusion of intersite spatial correlations in the alloy analogy approach to the half-filled ionic Hubbard model
• Strong-coupling perturbative study of the disordered Hubbard model on honeycomb lattice
• Anisotropy crossover in the frustrated Hubbard model on four-chain cylinders
• Bath parameterization in multi-band cluster Dynamical Mean-Field Theory
• Thermodynamic properties of two-component fermionic atoms trapped in a two-dimensional optical lattice
• Mott domain walls: a (strongly) non-Fermi liquid state of matter
• Dynamical Cluster Approximation Study of Electron Localization in the Extended Hubbard Model