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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: The reliability of the one-crossing approximation (OCA) approach in a quantitative description of the Mott transition in the framework of the dynamical mean field theory (DMFT) is assessed and calculations of the system away from the particle-hole symmetric case are presented and discussed.
Abstract: We assess the reliability of the one-crossing approximation (OCA) approach in a quantitative description of the Mott transition in the framework of the dynamical mean field theory (DMFT). The OCA approach has been applied in conjunction with DMFT to a number of heavy-fermion, actinide, transition metal compounds and nanoscale systems. However, several recent studies in the framework of impurity models pointed out serious deficiencies of OCA and raised questions regarding its reliability. Here we consider a single band Hubbard model on the Bethe lattice at finite temperatures and compare the results of OCA to those of a numerically exact quantum Monte Carlo (QMC) method. The temperature-local repulsion U phase diagram for the particle-hole symmetric case obtained by OCA is in good agreement with that of QMC, with the metal-insulator transition captured very well. We find, however, that the insulator to metal transition is shifted to higher values of U and, simultaneously, correlations in the metallic phase are significantly overestimated. This counter-intuitive behaviour is due to simultaneous underestimations of the Kondo scale in the metallic phase and the size of the insulating gap. We trace the underestimation of the insulating gap to that of the second moment of the high-frequency expansion of the impurity spectral density. Calculations of the system away from the particle-hole symmetric case are also presented and discussed.

6 citations

Journal ArticleDOI
TL;DR: In this article, the quantized value of conductance in a quantum wire is discussed near the Mott transition, and the way in which the quantization value collapses is also predicted as a function of temperature and length of the wire by taking account of both impurity scattering and mutual Coulomb interactions.
Abstract: The quantized value of conductance in a quantum wire is discussed near the Mott transition. The way in which the quantized value collapses is also predicted as a function of temperature and length of the wire by taking account of both impurity scattering and mutual Coulomb interactions, i.e. the case of dirty Tomonaga-Luttinger liquid.

6 citations

Journal ArticleDOI
TL;DR: In this paper, the authors argue that aspects of the anomalous, low temperature, spin and charge dynamics of high temperature superconductors can be understood by studying the corresponding physics of undoped Mott insulators.

6 citations

Journal ArticleDOI
TL;DR: In this article, an analytic nonperturbative theory based on operator projections combined with a self-consistent treatment of low-energy excitations is proposed to reproduce the Hubbard bands, Mott gap, spin fluctuations, mass divergence, diverging charge compressibility, and strongly renormalized flat and damped dispersion similar to angle-resolved photoemission data in high-T c cuprates.

6 citations

Journal ArticleDOI
TL;DR: In this article, the non-equilibrium phase transition from a metal (M) state to a semiconducting (S) state is discussed using the example of samarium monosulfide.
Abstract: The non-equilibrium (photoinduced) phase transition from a metal (M) state to a semiconducting (S) state is discussed using the example of samarium monosulfide. An expression for the critical concentration, analogous to the Mott criterion, is obtained. It is shown theoretically that the critical electron density for such a M??S transition should be of the order of, or little less than, the equilibrium density in the metallic phase beyond the transition point. Some relevant experimental data concerning the metal?insulator transitions in SmS and VO2 are discussed.

6 citations


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