Mott transition

About: Mott transition is a research topic. Over the lifetime, 2444 publications have been published within this topic receiving 78401 citations.

Relationship between single-particle excitation and spin excitation at the Mott Transition

Abstract: An intuitive interpretation of the relationship between the dispersion relation of the single-particle excitation in a metal and that of the spin excitation in a Mott insulator is presented, based on the results for the one- and two-dimensional Hubbard models obtained by using the Bethe ansatz, dynamical density-matrix renormalization group method, and cluster perturbation theory. The dispersion relation of the spin excitation in the Mott insulator is naturally constructed from that of the single-particle excitation in the zero-doping limit in both one- and two-dimensional Hubbard models, which allows us to interpret the doping-induced states as the states that lose charge character toward the Mott transition. The characteristic feature of the Mott transition is contrasted with the feature of a Fermi liquid and that of the transition between a band insulator and a metal.

The Influence of Pauli Blocking Effects on the Mott Transition in Dense Hydrogen

Abstract: We investigate the effects of Pauli blocking on the properties of hydrogen at high pressures. In this region recent experiments have shown a transition from insulating behavior to metal-like conductivity. To describe this transition, several effects have to be taken into account, an important one is the quantum character of the electrons. As electron states can only be occupied once (Pauli blocking), atomic states need more phase space than available at high densities, and bound states disintegrate subsequently (Mott effect). We calculate the energy shifts due to Pauli blocking and discuss the Mott effect solving an effective Schrodinger equation for strongly correlated systems. Additionally, we include corrections due to polarization effects. The ionization equilibrium is treated on the basis of an advanced chemical approach based on the assumption that the system is a gas-like mixture of chemical species. We calculate the Pauli shifts by variational methods and discuss corrections due to polarization. Results for the ionization equilibrium in the region 5,000 < T[K] < 15,000, 0. 1 < ρ[g cm−3] < 1 are presented, where the transition from a neutral hydrogen gas to a highly ionized plasma occurs. We show that the transition to a highly conducting state is softer than predicted in earlier work.

Superfluid, staggered state, and mott insulator of repulsively interacting three-component fermionic atoms in optical lattices

Abstract: We review our theoretical analysis of repulsively interacting three-component fermionic atoms in optical lattices. We discuss quantum phase transitions at around half filling with a balanced population by focusing on Mott transitions, staggered ordering, and superfluidity. At half filling (with 3/2 atoms per site), characteristic Mott transitions are induced by the anisotropic interactions, where two-particle repulsions between any two of the three colors have different strengths. At half filling, two types of staggered ordered states appear at low temperatures depending on the anisotropy of the interactions. As the temperature increases, phase transitions occur from the staggered ordered states to the unordered Mott states. Deviating from half filling, an exotic superfluid state appears close to a regime in which the Mott transition occurs. We explain the origin of these phase transitions and present the finite-temperature phase diagrams.

Theory of metal-insulator transition in (DCNQI)/sup2/Cu

Abstract: Summary form only given. The metal-insulator transition of (DCNQI)/sub 2/Cu has various unique features; 1) The transition is of first order with very large hysterisis. 2) In the insulating phase there exists threefold superlattice distortions. 3) Although the temperature independent Pauli like spin susceptibility is observed in the metallic state, the localized spins are created in the insulating phase. 4) The average valence of Cu is 4/3 in both metallic and insulating state. 5) A reentrant metallic state is stabilized for some particular range of effective internal pressure. All of above mentioned experimental facts of this /spl pi/ - d system I)-4) are explained as a unique situation of the Peierls transition of the /spl pi/-band with the Mott transition of the d-band, and a possible mechanism of 5) has been proposed based on the quantum tunneling of the protons.

Exact result on the Mott transition in a two-dimensional model of strongly correlated electrons.

Abstract: We study the properties of a quarter-filled system of electrons on a square lattice interacting through a local repulsion U and a nearest-neighbor repulsion V in the limit V=+\ensuremath{\infty}. We identify the ground state for U large enough and show that domain walls appear below a critical value ${\mathit{U}}_{\mathit{c}}$=4t/\ensuremath{\pi}. We argue that this corresponds to a metal-insulator transition due to Mott localization.