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Mott transition
About: Mott transition is a research topic. Over the lifetime, 2444 publications have been published within this topic receiving 78401 citations.
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TL;DR: In this paper, the second order finite temperature Mott transition point in the fully frustrated Hubbard model at half filling, within dynamical mean field theory, was studied and the existence of a finite temperature second order critical point by explicitly demonstrating a divergent susceptibility as well as by finding coexistence in the low temperature phase.
Abstract: We study the second order finite temperature Mott transition point in the fully frustrated Hubbard model at half filling, within dynamical mean field theory. Using quantum Monte Carlo simulations and analytical arguments, we show the existence of a finite temperature second order critical point by explicitly demonstrating the existence of a divergent susceptibility as well as by finding coexistence in the low temperature phase. We determine the precise location of the finite temperature Mott critical point in the $(U,T)$ plane. Our study verifies and quantifies a scenario for the Mott transition proposed in earlier studies of this problem.
90 citations
Journal Article•
TL;DR: In a frustrated model, signatures of a finite temperature Mott critical point are observed in agreement with experimental studies of kappa organics and with single-site DMFT.
Abstract: I will present recent results on the evolution from an anomalous metallic phase to a Mott insulator within the two dimensional Hubbard model, using a cluster extension of dynamical mean field theory. In particular, the density-driven Mott metal-insulator transition is approached in a non-uniform way in different regions of the momentum space. This gives rise to a breakup of the Fermi surface and to the formation of hot and cold regions, whose position depends on the hole or electron like nature of the carriers in the system.
89 citations
TL;DR: In this article, a generalized RPA approach was proposed to account for the Mott transition, and some preliminary very rough numerical estimates were given for the low-density limit of the spin degrees of freedom.
Abstract: We first generalize the approach of the previous paper by including spin degrees of freedom. We classify the various spin states and we discuss the effect of interband exchange interactions. We then introduce screening, in the framework of a generalized RPA which incorporates Bose condensation of bound electron-hole pairs. We discuss in detail the low density limit : screening corrections do not change the sign of the compressibility, which remains positive, in contrast to previous estimates. We show that such RPA corrections reduce to an approximate form of the Van der Waals attraction between excitons. Viewing this RPA approach as an interpolation procedure at intermediate densities, we propose several interpolation schemes that should account for the Mott transition, and we give some preliminary very rough numerical estimates. Finally, we discuss the effect of band degeneracy on the ground state : different degeneracies in the two bands should lead to a normal plasma at high density while at low densities bound excitons « Bose condense », with a breakdown of their internal symmetry; we expect a first order transition with a liquid-gas phase separation.
89 citations
TL;DR: Using an extended dynamical mean field theory that sums an important class of diagrams absent in ordinary DMFT, it is shown that in the presence of Coulomb interactions, the zero temperature Mott transition is, as envisioned by Mott, discontinuous in two and three dimensions.
Abstract: We reconsider the Mott transition problem in the presence of long range Coulomb interactions. Using an extended dynamical mean field theory (DMFT) that sums an important class of diagrams absent in ordinary DMFT, we show that in the presence of Coulomb interactions, the zero temperature Mott transition is, as envisioned by Mott, discontinuous in two and three dimensions.
88 citations
TL;DR: In this paper, the Coulomb interaction and hopping transport in the insulator phase of granular metals and quantum dot arrays were investigated considering both spatially periodic as well as irregular grain or dot arraignments.
Abstract: We investigate effects of Coulomb interaction and hopping transport in the insulator phase of granular metals and quantum dot arrays considering both spatially periodic as well as irregular grain or dot arraignments. We study the Mott transition between the insulating and metallic phases in a strictly periodic system and find the dependence of the Mott gap on the intergranular coupling. In this case the conductivity of the insulating state has the activation form with the Mott gap entering the exponent. In the irregular arrays the electrostatic disorder induces the finite density of states near the Fermi level giving rise to the variable range hopping conductivity. We derive the transport properties of the irregular array in the dielectric, low coupling limit and show that the conductivity follows the Efros-Shklovskii law. We develop a theory of tunneling through a chain of grains and discuss in detail both elastic and inelastic cotunneling mechanisms; the former dominates at very low temperatures and very low applied electric fields, while the inelastic mechanism controls tunneling at high temperature or fields. Our results are obtained within the framework of the technique based on the mapping of the quantum electronic problem onto the classical gas of Coulomb charges. The processes of quantum tunneling of real electrons are represented in this technique as trajectories (world lines) of charged classical particles in $d+1$ dimensions. The Mott gap is related to the dielectric susceptibility of the Coulomb gas in the direction of the imaginary time axis.
88 citations