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Related papers: Theory of 2D metal-insulator transition I: Zero Ma…

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We discuss the recently discovered two-dimensional metal-insulator transition in zero magnetic field in the light of the scaling theory of localization. We demonstrate that the observed symmetry relating conductivity and resistivity follows…

Disordered Systems and Neural Networks · Physics 2009-10-30 V. Dobrosavljevic , Elihu Abrahams , E. Miranda , Sudip Chakravarty

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 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

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 non-linear (electric field-dependent) resistivity of the 2D electron system in silicon exhibits scaling as a function of electric field and electron density in both the metallic and insulating phases, providing further evidence for a…

Condensed Matter · Physics 2009-10-28 S. V. Kravchenko , D. Simonian , M. P. Sarachik , Whitney Mason , J. E. Furneaux

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

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

We report a detailed scaling analysis of resistivity \rho(T,n) measured for several high-mobility 2D electron systems in the vicinity of the 2D metal-insulator transition. We analyzed the data using the two parameter scaling approach and…

Strongly Correlated Electrons · Physics 2013-03-08 D. A. Knyazev , O. E. Omel'yanovskii , V. M. Pudalov , I. S. Burmistrov

We have studied the temperature dependence of resistivity, $\rho$, for a two-dimensional electron system in silicon at low electron densities, $n_s\sim10^{11}$ cm$^{-2}$, near the metal/insulator transition. The resistivity was empirically…

Condensed Matter · Physics 2007-05-23 S. V. Kravchenko , Whitney E. Mason , G. E. Bowker , J. E. Furneaux , V. M. Pudalov , M. D'Iorio

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

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

Experiments on a sufficiently disordered two-dimensional (2D) electron system in silicon reveal a new and unexpected kind of metallic behavior, where the conductivity decreases as \sigma (n_s,T)=\sigma (n_s,T=0)+A(n_s)T^2 (n_s-carrier…

Condensed Matter · Physics 2009-10-31 X. G. Feng , Dragana Popovic , S. Washburn , V. Dobrosavljevic

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

The discovery of the metal-insulator transition (MIT) in two-dimensional (2D) electron systems challenged the veracity of one of the most influential conjectures in the physics of disordered electrons, which states that `in two dimensions,…

Strongly Correlated Electrons · Physics 2017-12-06 S. Anissimova , S. V. Kravchenko , A. Punnoose , A. M. Finkel'stein , T. M. Klapwijk

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 intermediate 3D XY scaling theory of superconductivity at zero and nonzero magnetic fields is developed, based only upon the dimensional hypothesis $B\sim (Length)^{-2}$. Universal as well as nonuniversal aspects of the theory are…

Superconductivity · Physics 2015-06-25 Mark Friesen , Paul Muzikar

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

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

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

The temperature dependence of conductivity $\sigma (T)$ of a two-dimensional electron system in silicon has been studied in parallel magnetic fields B. At B=0, the system displays a metal-insulator transition at a critical electron density…

Strongly Correlated Electrons · Physics 2009-11-07 Kevin Eng , X. G. Feng , Dragana Popovic , S. Washburn
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