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Related papers: Scaling theory of two-dimensional metal-insulator …

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We present a scaling description of a metal-insulator transition in two-dimensional electron systems that is driven by a vanishing compressibility rather than a vanishing diffusion coefficient. A small set of basic assumptions leads to a…

Strongly Correlated Electrons · Physics 2016-12-06 D. Belitz , T. R. Kirkpatrick

We propose a scaling theory of 2D metal insulator transition discovered by Kravchenko and coworkers. In this theory conductance/resistance duality is an exact relation. The exponent of the stretched exponential in $\sigma(T)$ is determined…

Disordered Systems and Neural Networks · Physics 2007-05-23 Konstantin Kladko

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

In the absence of magnetic field or spin-orbit coupling the one-parameter scaling theory predicts localization of all states in two-dimensional (2D) disordered systems, for any amount of disorder. However, a 2D metallic phase has been…

Disordered Systems and Neural Networks · Physics 2016-04-20 Shie-Jie Xiong , G. N. Katomeris , S. N. Evangelou

The interplay between strong Coulomb interactions and randomness has been a long-standing problem in condensed matter physics. According to the scaling theory of localization, in two-dimensional systems of noninteracting or weakly…

Strongly Correlated Electrons · Physics 2007-05-23 S. V. Kravchenko , M. P. Sarachik

According to the scaling theory of localization, all quantum electronic states are localized in two-dimensional (2D) systems. One consequence of the theory is that there is no quantum percolation transition in 2D. However, in a real system…

Disordered Systems and Neural Networks · Physics 2007-05-23 Junren Shi , Song He , X. C. Xie

Two phenomena have been recently observed in high-mobility Si MOS structures: (1) strong enhancement of the metallic conduction at low temperatures, T < 2K, and (2) the scaling behavior of the temperature and electric field dependences of…

Strongly Correlated Electrons · Physics 2008-02-03 V. M. Pudalov

We show that a non-Fermi liquid state of interacting electrons in two dimensions is stable in the presence of disorder and is a perfect conductor, provided the interactions are sufficiently strong. Otherwise, the disorder leads to…

Disordered Systems and Neural Networks · Physics 2009-10-30 Sudip Chakravarty , Lan Yin , Elihu Abrahams

The metal-insulator transition (MIT) observed in two-dimensional (2D) systems is apparently contradictory to the well known scaling theory of localization. By investigating the conductance of disordered one-dimensional systems with a finite…

Strongly Correlated Electrons · Physics 2009-10-31 Junren Shi , X. C. Xie

The conductance of an open quench-disordered two-dimensional (2D) electron system subject to an in-plane magnetic field is calculated within the framework of conventional Fermi liquid theory applied to actually a three-dimensional system of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yu. V. Tarasov

In a recent Letter, Kravchenko et al. [cond-mat/9608101] have provided evidence for a metal-insulator transition (MIT) in a two-dimensional electron system (2DES) in Si metal-oxide-semiconductor field-effect transistors (MOSFETs). The…

Strongly Correlated Electrons · Physics 2008-02-03 K. Ismail , J. O. Chu , Dragana Popovic , A. B. Fowler , S. Washburn

For about twenty years, it has been the prevailing view that there can be no metallic state or metal-insulator transition in two dimensions in zero magnetic field. In the last several years, however, unusual behavior suggestive of such a…

Strongly Correlated Electrons · Physics 2007-05-23 E. Abrahams , S. V. Kravchenko , M. P. Sarachik

We demonstrate a universal scaling form of longitudinal resistance in the quantum critical region of metal-insulator transitions, based on numerical results of three-dimensional Anderson transitions (with and without magnetic field),…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. N. Sheng , Z. Y. Weng

Recently, a simple non-interacting-electron model, combining local quantum tunneling via quantum point contacts and global classical percolation, has been introduced in order to describe the observed ``metal-insulator transition'' in two…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yigal Meir

We review the latest developments in the field of the metal-insulator transition in strongly-correlated two-dimensional electron systems. Particular attention is given to recent discoveries of a sliding quantum electron solid and…

Strongly Correlated Electrons · Physics 2019-03-21 Alexander A. Shashkin , Sergey V. Kravchenko

Using an analysis similar to that of Imry and Wortis, it is shown that the apparent first order superconductor to metal transition, which has been claimed to exist at low values of the magnetic field in a two-dimensional field-tuned system…

Strongly Correlated Electrons · Physics 2009-11-07 Sumanta Tewari

We investigated the interdependence of the effects of disorder and carrier correlations on the metal-insulator transition in two-dimensional electronic systems. We present a quantitative metal-insulator phase diagram. Depending on the…

Strongly Correlated Electrons · Physics 2009-10-31 J. S. Thakur , D. Neilson

Experimental evidence for the possible universality classes of the metal-insulator transition (MIT) in two dimensions (2D) is discussed. Sufficiently strong disorder, in particular, changes the nature of the transition. Comprehensive…

Strongly Correlated Electrons · Physics 2016-03-22 Dragana Popović

We review some experimental and theoretical results on the metal-to-insulator transition (MIT) observed at zero magnetic field (B=0) in several two-dimensional electron systems (2DES). Scaling of the conductance and magnetic field…

Strongly Correlated Electrons · Physics 2019-08-17 S Washburn , D Popovic , KP Li , AB Fowler

Metal-insulator transitions driven by magnetic fields have been extensively studied in 2D, but a 3D theory is still lacking. Motivated by recent experiments, we develop a scaling theory for the metal-insulator transitions in the…

Mesoscale and Nanoscale Physics · Physics 2021-07-29 Peng-Lu Zhao , Hai-Zhou Lu , X. C. Xie
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