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Related papers: Correlation-Strength Driven Anderson Metal-Insulat…

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We study the three-dimensional Anderson model of localization with anisotropic hopping, i.e. weakly coupled chains and weakly coupled planes. In our extensive numerical study we identify and characterize the metal-insulator transition using…

Disordered Systems and Neural Networks · Physics 2016-08-15 Frank Milde , Rudolf A. Römer , Michael Schreiber

The Anderson transition in a 3D system with symplectic symmetry is investigated numerically. From a one-parameter scaling analysis the critical exponent $\nu$ of the localization length is extracted and estimated to be $\nu = 1.3 \pm 0.2$.…

Condensed Matter · Physics 2009-10-28 T. Kawarabayashi , T. Ohtsuki , K. Slevin , Y. Ono

We study the influence of boundary conditions transverse to the transport direction for disordered mesoscopic conductors both at the Anderson metal-insulator transition and in the metallic regime. We show that the boundary conditions…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Daniel Braun , Etienne Hofstetter , Gilles Montambaux , Angus MacKinnon

We study the filling-controlled metal-insulator transition in the two-dimensional Hubbard model near half-filling with the use of zero temperature quantum Monte Carlo methods. In the metallic phase, the compressibility behaves as $\kappa…

Condensed Matter · Physics 2009-10-28 Nobuo Furukawa , Fakher F. Assaad , Masatoshi Imada

The Anderson delocalization-localization transition is studied in multilayered systems with randomly placed interlayer bonds of density $p$ and strength $t$. In the absence of diagonal disorder (W=0), following an appropriate perturbation…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. N. Evangelou , Shi-Jie Xiong , P. Markov , D. E. Katsanos

Employing scaling analysis of the localization length, we deduce the critical exponent of the metal-topological insulator (TI) transitions induced by disorder. The obtained exponent nu~2.7 shows no conspicuous deviation from the value…

Mesoscale and Nanoscale Physics · Physics 2013-06-11 Ai Yamakage , Kentaro Nomura , Ken-Ichiro Imura , Yoshio Kuramoto

It is well-known that magnetic impurities can change the symmetry class of disordered metallic systems by breaking spin and time-reversal symmetry. At low temperature these symmetries can be restored by Kondo screening. It is also known…

Strongly Correlated Electrons · Physics 2015-05-13 S. Kettemann , E. R. Mucciolo , I. Varga

The distribution of energy level separations for lattices of sizes up to 28$\times$28$\times$28 sites is numerically calculated for the Anderson model. The results show one-parameter scaling. The size-independent universality of the…

Condensed Matter · Physics 2009-10-28 I. Kh. Zharekeshev , B. Kramer

We review our recent results on Anderson localization in systems of two interacting particles coupled by contact interactions. Based on an exact mapping to an effective single-particle problem, we numerically investigate the occurrence of…

Disordered Systems and Neural Networks · Physics 2021-01-25 Filippo Stellin , Giuliano Orso

The method proposed by the present authors to deal analytically with the problem of Anderson localization via disorder [J.Phys.: Condens. Matter {\bf 14} (2002) 13777] is generalized for higher spatial dimensions D. In this way the…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. N. Kuzovkov , W. von Niessen

We reexamine the problem of delocalization of two-dimensional electrons in the presence of random magnetic field. By introducing spatial correlations among random fluxes, a well-defined metal-insulator transition characterized by a…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. N. Sheng , Z. Y. Weng

We perform a numerical investigation of Anderson metal-insulator transition (MIT) in a twodimensional system of chiral symmetry class AIII by combining finite-size scaling, transport, density of states, and multifractality studies. The…

Disordered Systems and Neural Networks · Physics 2023-01-30 Jonas F. Karcher , Ilya A. Gruzberg , Alexander D. Mirlin

We have varied the disorder in a two-dimensional electron system in silicon by applying substrate bias. When the disorder becomes sufficiently low, we observe the emergence of the metallic phase, and find evidence for a metal-insulator…

Strongly Correlated Electrons · Physics 2009-10-30 Dragana Popovic , A. B. Fowler , S. Washburn

Non-standard .sty file `equations.sty' now included inline. The critical exponents of the metal--insulator transition in disordered systems have been the subject of much published work containing often contradictory results. Values ranging…

Condensed Matter · Physics 2009-10-22 Angus MacKinnon

We study the Anderson transition in lattices with the connectivity of a random-regular graph. Our results indicate that fractal dimensions are continuous across the transition, but a discontinuity occurs in their derivatives, implying the…

Disordered Systems and Neural Networks · Physics 2020-11-25 M. Pino

Disordered non-interacting systems are classified into ten symmetry classes, with the unitary class being the most fundamental. The three and four dimensional unitary universality classes are attracting renewed interest because of their…

Disordered Systems and Neural Networks · Physics 2016-09-27 Keith Slevin , Tomi Ohtsuki

We report a numerical investigation of the Anderson transition in two-dimensional systems with spin-orbit coupling. An accurate estimate of the critical exponent $\nu$ for the divergence of the localization length in this universality class…

Disordered Systems and Neural Networks · Physics 2009-11-07 Yoichi Asada , Keith Slevin , Tomi Ohtsuki

The scaling behavior of the thermoelectric transport properties in disordered systems is studied in the energy region near the metal-insulator transition. Using an energy-dependent conductivity $\sigma$ obtained experimentally, we extend…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. Villagonzalo , R. A. Roemer , M. Schreiber , A. MacKinnon

We report a simulation of the metal-insulator transition in a model of a doped semiconductor that treats disorder and interactions on an equal footing. The model is analyzed using density functional theory. From a multi-fractal analysis of…

Disordered Systems and Neural Networks · Physics 2014-05-13 Yosuke Harashima , Keith Slevin

We experimentally test the universality of the Anderson three dimensional metal-insulator transition. Nine sets of parameters controlling the microscopic details of this second order phase transition have been tested. The corresponding…