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The universality of the metal-insulator transition in three-dimensional disordered system is confirmed by numerical analysis of the scaling properties of the electronic wave functions. We prove that the critical exponent $\nu$ and the…

Disordered Systems and Neural Networks · Physics 2008-07-24 J. Brndiar , P. Markos

The scaling of the conductivity at the superfluid-insulator quantum phase transition in two dimensions is studied by numerical simulations of the Bose-Hubbard model. In contrast to previous studies, we focus on properties of this model in…

Other Condensed Matter · Physics 2009-11-11 Jurij Smakov , Erik Sorensen

We study the charge transport across a band-tuned metal-insulator transition in two dimensions. For high temperatures $T$ and chemical potentials $\mu$ far from the transition point, conduction is ballistic and the resistance $R(T)$…

Strongly Correlated Electrons · Physics 2025-10-06 Harry Tomlins , Jan M. Tomczak

We explore the scaling description for a two-dimensional metal-insulator transition (MIT) of electrons in silicon. Near the MIT, $\beta_{T}/p = (-1/p)d(\ln g)/d(\ln T)$ is universal (with $p$, a sample dependent exponent, determined…

Mesoscale and Nanoscale Physics · Physics 2009-09-25 Nam-Jung Kim , Dragana Popovic , S. Washburn

We establish the quantum fluctuations $\Delta Q_B^2$ of the charge $Q_B$ accumulated at the boundary of an insulator as an integral tool to characterize phase transitions where a direct gap closes (and reopens), typically occurring for…

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

We analyze an interplay between Coulomb blockade and quantum fluctuations in a coherent conductor (with dimensionless conductance $g \gtrsim 1$) attached to an Ohmic shunt. We demonstrate that at T=0 the system can be either an insulator or…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Dmitri S. Golubev , Andrei D. Zaikin

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

The doping-induced metal-insulator transition in two-chain systems of correlated fermions is studied using a solvable limit of the t-J model and the fact that various strong- and weak-coupling limits of the two-chain model are in the same…

Strongly Correlated Electrons · Physics 2009-10-31 H. J. Schulz

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

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

Kubo formula is used to get the scaling behavior of the static conductance distribution of wide wires showing pure non-diagonal disorder. Following recent works that point to unusual phenomena in some circumstances, scaling at the band…

Disordered Systems and Neural Networks · Physics 2009-11-07 J. A. Verges

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

The established scaling laws of the conductivity with temperature and doping are strong indications for the quantum nature of the metal-insulator transition in YH$_x$. Here we report the first results on the frequency scaling of the…

Strongly Correlated Electrons · Physics 2009-11-10 I. G. Romijn , A. V. Pronin , H. B. Brom , A. F. Th. Hoekstra

Recent studies of electrical transport, both theoretical and experimental, near the bandwidth-tuned Mott metal-insulator transition have uncovered apparent quantum critical scaling of the electrical resistivity at elevated temperatures,…

Strongly Correlated Electrons · Physics 2019-11-06 Heike Eisenlohr , Seung-Sup B. Lee , Matthias Vojta

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

We introduce a new method to analysis the many-body problem with disorder. The method is an extension of the real space renormalization group based on the operator product expansion. We consider the problem in the presence of interaction,…

Strongly Correlated Electrons · Physics 2009-10-31 D. Schmeltzer

The nature of a metal-insulator transition tuned by external gates in quantum Hall (QH) systems with point constrictions, as reported in recent experiments of Roddaro et al [1], is examined. We attribute this phenomenon to a splitting of…

Strongly Correlated Electrons · Physics 2009-11-11 Emiliano Papa , Tilo Stroh

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

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
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