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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, a simple model encompassing the concepts of Debye, Poole, and Frenkel has been used to obtain a continuous curve connecting the two critical points, viz., critical density and critical field.
Abstract: In the Mott transition, an insulator with a critically high donor density undergoes a sudden transition to become a conductor. On the other hand, it is known that sufficiently high electric fields applied to dielectrics at ordinary charge densities can cause breakdown. The author conjectures that the critical donor density can be lowered by applying high electric fields to the insulators. Using a simple model encompassing the concepts of Debye, Poole, and Frenkel, the author has obtained a continuous curve connecting the two critical points, viz., critical density and critical field. The motivation of this work is spacecraft anomalies. They briefly review the circumstances of the most notable spacecraft failures in recent years. Although the true causes of the failures are probably system design specific and will probably never be known, it is likely that the failures were due to breakdowns or discharges in semiconductors or dielectrics. Irradiated dielectrics and semiconductors have defects and dangling bonds playing the role of donors. High electric fields are built by electrons deposited inside the dielectrics. With the use of the curve obtained, it is concluded that the insulator-conductor transition can occur at lower donor densities and lower electric fields than previously thought.

5 citations

Posted Content
TL;DR: In this paper, the authors show that the low energy properties of a phase of matter are generally emergent and entirely determined by the broken symmetry, but there are many differences between a strongly correlated and a weakly correlated state of matter.
Abstract: Band theory and BCS theory are arguably the most successful theories of condensed matter physics. Yet, in a number of materials, in particular the high-temperature superconductors and the layered organic superconductors, they fail. In these lecture notes for an international school, I emphasize that even though the low energy properties of a phase of matter are generally emergent and entirely determined by the broken symmetry, there are many differences between a strongly correlated and a weakly correlated state of matter. For example, spin waves are an emergent property for antiferromagnets, but for weak correlations the normal phase of a (Slater) antiferromagnet is metallic, whereas it is insulating (Heisenberg) for strong correlations. As a function of interaction strength, above the antiferromagnetic phase, the crossover between a metal and a local moment paramagnetic insulator is described by the Mott transition, whose mean-field theory down to T=0 is best formulated with dynamical mean-field theory. A similar situation occurs for superconductors: despite similar emergent properties, there are many differences between both kinds of superconductors. Experimental evidence suggests that hole-doped cuprates are strongly correlated whereas the correlations are weaker in the electron-doped case, especially near optimal doping. Evidence for a pseudogap arising from antiferromagnetic fluctuations is strong in the latter case, whereas in the hole-doped case the pseudogap temperature appears as a consequence of Mott physics. In cluster dynamical mean-field theory, the pseudogap line T* is a Widom line arising from a T=0 first-order transition that terminates at a finite T critical point. Strongly correlated superconductors are much more resilient to near-neighbor repulsion than their weakly correlated counterpart. Many different methods to attack these problems theoretically are described.

5 citations

Journal ArticleDOI
01 Nov 2009
TL;DR: In this paper, K-edge X-ray absorption spectroscopy was used as a sensitive probe of electron correlations in V2O3, which is possible thanks to a detailed study of the V K pre-edge region while changing the thermodynamic parameters of the system.
Abstract: We show that K-edge X-ray absorption spectroscopy can be used as a sensitive probe of electron correlations in V2O3. This is possible thanks to a detailed study of the V K pre-edge region while changing the thermodynamic parameters of the system. LDA+DMFT provides an interpretation of the changes in the electronic structure, in particular in the upper Hubbard band, at the Mott transition. The possibility of modifying the Coulomb interaction and observing the metal-insulator transition by applying an external pressure is also demonstrated, which is of particular interest for the study of many strongly correlated materials.

5 citations

Journal ArticleDOI
TL;DR: In this article, the Coulomb gap temperature that characterizes the ground state of doped Mott-insulator shows inversely proportional critical behavior against the doping concentration, and an analysis based on Efros-Shklovskii approximation is performed.
Abstract: An organic Mott-insulator κ-(BEDT-TTF)2Cu[N(CN)2] Cl(κ-Cl) on SiO2/Si substrate showed an ambipolar field-effect-transistor (FET) characteristics without any hysteresis, which means a continuous Mott-transition at filling-controlled regime (BEDT-TTF = bis(ethylenedithio)tetrathiafulvalene). In order to extract the critical exponent in the vicinity of the Mott-insulating phase, an analysis based on Efros-Shklovskii approximation is performed. The model fitting well reproduces the device characteristics over wide range of temperature and gate voltage. In this analysis, Coulomb gap temperature that characterizes the ground state of doped Mott-insulator shows inversely proportional critical behavior against the doping concentration.

5 citations

Journal ArticleDOI
TL;DR: A two-dimensional system of atoms in an anisotropic optical lattice is studied theoretically and it is shown to exhibit a transition between a two- dimensional superfluid and a one-dimensional Mott insulating chain of superfluid tubes.
Abstract: A two-dimensional system of atoms in an anisotropic optical lattice is studied theoretically. If the system is finite in one direction, it is shown to exhibit a transition between a two-dimensional superfluid and a one-dimensional Mott insulating chain of superfluid tubes. Monte Carlo simulations are consistent with the expectation that the phase transition is of Kosterlitz-Thouless type. The effect of the transition on experimental time-of-flight images is discussed.

5 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202334
202271
202165
202064
201968
201871