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Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states

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TLDR
In this paper, it was shown that in the absence of coupling of the electrons to any external bath dc electrical conductivity exactly vanishes as long as the temperature T does not exceed some finite value Tc.
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This article is published in Annals of Physics.The article was published on 2006-05-01 and is currently open access. It has received 1699 citations till now. The article focuses on the topics: Anderson localization & Boltzmann equation.

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Many-Body Physics with Ultracold Gases

TL;DR: In this article, a review of recent experimental and theoretical progress concerning many-body phenomena in dilute, ultracold gases is presented, focusing on effects beyond standard weakcoupling descriptions, such as the Mott-Hubbard transition in optical lattices, strongly interacting gases in one and two dimensions, or lowest-Landau-level physics in quasi-two-dimensional gases in fast rotation.
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Colloquium: Nonequilibrium dynamics of closed interacting quantum systems

TL;DR: In this paper, the authors give an overview of recent theoretical and experimental progress in the area of nonequilibrium dynamics of isolated quantum systems, particularly focusing on quantum quenches: the temporal evolution following a sudden or slow change of the coupling constants of the system Hamiltonian.
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Many-Body Localization and Thermalization in Quantum Statistical Mechanics

TL;DR: In this paper, the authors provide a brief introduction to quantum thermalization, paying particular attention to the eigenstate thermalization hypothesis (ETH) and the resulting single-eigenstate statistical mechanics.
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Anderson Transitions

TL;DR: In this paper, the physics of Anderson transition between localized and metallic phases in disordered systems is reviewed, including both metal-insulator transitions and quantum-Hall-type transitions between phases with localized states.
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Observation of many-body localization of interacting fermions in a quasirandom optical lattice

TL;DR: This experiment experimentally observed this nonergodic evolution for interacting fermions in a one-dimensional quasirandom optical lattice and identified the MBL transition through the relaxation dynamics of an initially prepared charge density wave.
References
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Journal ArticleDOI

Absence of Diffusion in Certain Random Lattices

TL;DR: In this article, a simple model for spin diffusion or conduction in the "impurity band" is presented, which involves transport in a lattice which is in some sense random, and in them diffusion is expected to take place via quantum jumps between localized sites.
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Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions

TL;DR: In this paper, it was shown that the conductance of disordered electronic systems depends on their length scale in a universal manner, and asymptotic forms for the scaling function were obtained for both two-dimensional and three-dimensional systems.
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Conduction in glasses containing transition metal ions

TL;DR: In this article, a discussion of conduction in glasses containing transition metal ions is presented, and the Miller-Abrahams term and polaron hopping term tend to zero, giving a decreasing slope of the ln p versus 1/T curve.
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On the Interaction of Electrons in Metals

TL;DR: In this article, the energy of interaction between free electrons in an electron gas is considered and the correlation energy is calculated by an approximation method which is, essentially, a development of the energy by means of the Rayleigh-Schrodinger perturbation theory in a power series of e2.
Book

Spin Glasses

K. H. Fischer
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