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We present thermal and electrical transport measurements of low-density (10$^{14}$ m$^{-2}$), mesoscopic two-dimensional electron systems (2DESs) in GaAs/AlGaAs heterostructures at sub-Kelvin temperatures. We find that even in the…

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 study the temperature dependence of the conductivity of the 2D electronic solid. In realistic samples, a domain structure forms in the solid and each domain randomly orients in the absence of the in-plane field. At higher temperature,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Shi-Jie Yang , Yue Yu

Recent theoretical results on transport in a two-dimensional disordered electron liquid with spin and isospin degrees of freedom are reviewed. A number of experimental features in temperature dependence of resistivity at low temperatures in…

Mesoscale and Nanoscale Physics · Physics 2016-12-06 I. S. Burmistrov

We consider the problem of electron transport along a one-dimensional disordered multiple-scattering conductor, and study the electron density for all the electronic levels. A model is proposed for the reduced density matrix of the system…

Disordered Systems and Neural Networks · Physics 2023-03-14 Gerardo Rivas , Miztli Yepez , Pier A. Mello

We have studied the zero magnetic field resistivity of unique high- mobility two-dimensional electron system in silicon. At very low electron density (but higher than some sample-dependent critical value, $n_{cr}\sim 10^{11}$ cm$^{-2}$),…

Condensed Matter · Physics 2009-10-22 S. V. Kravchenko , G. V. Kravchenko , J. E. Furneaux , V. M. Pudalov , M. D'Iorio

We present a theory of the metal-insulator transition in a disordered two-dimensional electron gas. A quantum critical point, separating the metallic phase which is stabilized by electronic interactions, from the insulating phase where…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexander Punnoose , Alexander M. Finkel'stein

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 review recent experiments that provide evidence for a transition to a conducting phase in two dimensions at very low electron densities. The nature of this phase is not understood, and is currently the focus of intense theoretical and…

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

We have performed low-temperature transport measurements on a disordered two-dimensional electron system (2DES). Features of the strong localization leading to the quantum Hall effect are observed after the 2DES undergoes a direct…

We compute the magnetic susceptibilities of interacting electrons in the presence of disorder on a two-dimensional square lattice by means of quantum Monte Carlo simulations. Clear evidence is found that at sufficiently low temperatures…

Strongly Correlated Electrons · Physics 2015-05-30 Prabuddha B. Chakraborty , Krzysztof Byczuk , Dieter Vollhardt

We have studied the non-ohmic effects in the conductivity of a two-dimensional system which undergoes the crossover from weak to strong localization with decreasing electron concentration. When the electrons are removed from equilibrium…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 M. E. Gershenson , Yu. B. Khavin , D. Reuter , P. Schafmeister , A. D. Wieck

We calculate the corrections to the conductivity and compressibility of a disordered metal when the mean free path is smaller than the screening length. Such a condition is shown to be realized for low densities and large disorder. Analysis…

Strongly Correlated Electrons · Physics 2009-10-31 Qimiao Si , C. M. Varma

Ignited by the discovery of the metal-insulator transition, the behaviour of low-disorder two-dimensional (2D) electron systems is currently the focus of a great deal of attention. In the strongly-interacting limit, electrons are expected…

Strongly Correlated Electrons · Physics 2018-09-19 Pedro Brussarski , S. Li , S. V. Kravchenko , A. A. Shashkin , M. P. Sarachik

We have investigated the local magneto-transport in high-quality 2D electron systems at low carrier densities. The positive magneto-resistance in perpendicular magnetic field in the strongly insulating regime has been measured to evaluate…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Ghosh , M. Pepper , H. E. Beere , D. A. Ritchie

The transport properties of interacting electrons for which the spin degree of freedom is taken into account are numerically studied for small two dimensional diffusive clusters. On-site electron-electron interactions tend to delocalize the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Richard Berkovits , Jan W. Kantelhardt

When electrons are confined to move in a plane, strange things happen. For example, under normal circumstances, they are not expected to conduct electricity at low temperatures. However, recent experiments on a dilute electron gas confined…

Strongly Correlated Electrons · Physics 2009-10-31 Philip Phillips , Subir Sachdev , Sergey Kravchenko , Ali Yazdani

We report low-temperature electronic transport measurements performed in two multi-terminal Corbino samples formed in GaAs/Al-GaAs two-dimensional electron gases (2DEG) with both ultra-high electron mobility ($\gtrsim 20\times 10^6$…

We theoretically study transport in two-dimensional semimetals. Typically, electron and hole puddles emerge in the transport layer of these systems due to smooth fluctuations in the potential. We calculate the electric response of the…

Mesoscale and Nanoscale Physics · Physics 2014-10-29 Michael Knap , Jay D. Sau , Bertrand I. Halperin , Eugene Demler

At a very low temperature of 9mK, electrons in the 2nd Landau level of an extremely high mobility two-dimensional electron system exhibit a very complex electronic behavior. With varying filling factor, quantum liquids of different origins…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. S. Xia , W. Pan , C. L. Vincente , E. D. Adams , N. S. Sullivan , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West
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