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We construct a three-dimensional (3D), time-reversal symmetric generalization of the Chalker-Coddington network model for the integer quantum Hall transition. The novel feature of our network model is that in addition to a weak topological…

Disordered Systems and Neural Networks · Physics 2021-10-04 Jun Ho Son , S. Raghu

A theory of transport in the quantum Hall regime is developed for separately contacted double-layer electron systems. Inter-layer tunneling provides a channel for equilibration of the distribution functions in the two layers and influences…

Condensed Matter · Physics 2015-06-25 D. Yoshioka , A. H. MacDonald

We studied the weak field Hall voltage in 2D electron layers in Si-MOS structures with different mobilities, through the metal-insulator transition. In the vicinity of the critical density on the metallic side of the transition, we have…

Strongly Correlated Electrons · Physics 2009-10-31 V. M. Pudalov , G. Brunthaler , A. Prinz , G. Bauer

The conductance of a disordered finite-size electron system is calculated by reducing the initial dynamic problem of arbitrary dimensionality to strictly one-dimensional problems for one-particle mode propagators. The metallic ground state…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yu. V. Tarasov

A semimagnetic topological insulator -- a heterostructure combining a topological insulator with a ferromagnet -- exhibits a half-quantized Hall effect, characterized by a quantized Hall conductance of $\frac{1}{2}\frac{e^{2}}{h}$ (where…

Disordered Systems and Neural Networks · Physics 2025-10-30 Shi-Hao Bi , Bo Fu , Shun-Qing Shen

Scaling properties of the quantum Hall metal-insulator transition are severely affected by finite size effects in small systems. Surprisingly, despite the narrow spatial range where probability structure functions exhibit multifractal…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 L. Moriconi , Ana L. C. Pereira , P. A. Schulz

A theory of transport in the quantum Hall regime is developed for separately contacted double-layer electron systems. Inter-layer tunneling provides a channel for equilibration of the distribution functions in the two layers at the edge…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Daijiro Yoshioka

We consider magnetotransport in a disordered two-dimensional electron gas in the presence of a periodic modulation in one direction. Existing quasiclassical and quantum approaches to this problem account for Weiss oscillations in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 G. Schwiete , D. Taras-Semchuk , K. B. Efetov

We consider low-temperature behavior of weakly interacting electrons in disordered conductors in the regime when all single-particle eigenstates are localized by the quenched disorder. We prove that in the absence of coupling of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. M. Basko , I. L. Aleiner , B. L. Altshuler

The theory for disordered itinerant ferromagnets developed in a previous paper is used to construct a simple effective field theory that is capable of describing the quantum phase transition from a ferromagnetic metal to a ferromagnetic…

Statistical Mechanics · Physics 2009-10-31 T. R. Kirkpatrick , D. Belitz

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

Universality of the extraordinary Hall effect scaling was tested in granular three-dimensional Ni-SiO2 films across the metal-insulator transition. Three types of magnetotransport behavior have been identified: metallic, weakly insulating…

Materials Science · Physics 2015-06-23 D. Bartov , A. Segal , M. Karpovski , A. Gerber

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 quantum Hall liquid and the metal-insulator transition in a high mobility two dimensional electron gas, by means of photoluminescence and magneto-transport. In the integer and fractional regime at nu > 1/3, analyzing the…

Strongly Correlated Electrons · Physics 2011-04-20 F. Dionigi , F. Rossella , V. Bellani , M. Amado , E. Diez , K. Kowalik , G. Biasiol , L. Sorba

We study the localization properties in coupled double quantum wells with an in-plane magnetic field. The localization length is directly calculated using a transfer matrix technique and finite size scaling analysis. We show that the system…

Condensed Matter · Physics 2009-10-30 D. Z. Liu , X. C. Xie

The theory of the insulating state discriminates between insulators and metals by means of a localization tensor, which is finite in insulators and divergent in metals. In absence of time-reversal symmetry, this same tensor acquires an…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Raffaele Resta

We report transport measurements in HgTe-based quantum wells with well width of 8 nm, corresponding to quantum spin Hall state, subject to in-plane magnetic field. In the absence of the magnetic field the local and nonlocal resistances…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 G. M. Gusev , E. B. Olshanetsky , Z. D. Kvon , O. E. Raichev , N. N. Mikhailov , S. A. Dvoretsky

Two dimensional electron systems exhibiting the fractional quantum Hall effects are characterized by a quantized Hall conductance and a dissipationless bulk. The transport in these systems occurs only at the edges where gapless excitations…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yogesh N. Joglekar , Hoang K. Nguyen , Ganpathy Murthy

We studied the insulator-quantum Hall conductor transition which separates the low-field insulator from the quantum Hall state of the filling factor $\nu=4$ on a gated two-dimensional GaAs electron system containing self-assembled InAs…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Tsai-Yu Huang , J. R. Juang , C. F. Huang , Gil-Ho Kim , Chao-Ping Huang , C. -T. Liang , Y. H. Chang , Y. F. Chen , Y. Lee , D. A. Ritchie

It is shown that the statements about the observation of the transitions between the insulating phase and the integer quantum Hall effect phases with the quantized Hall conductivity $\sigma_{xy}^{q}$ $\geq 3e^{2}/h$ made in a number of…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 S. S. Murzin