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We have investigated the Hall resistance $R_H$ near the plateau-insulator transition of a two-dimensional electron gas in the quantum critical regime. High-field magnetotransport data taken on a low-mobility InGaAs/InP heterostructure with…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. T. N. de Lang , L. A. Ponomarenko , A. de Visser , A. M. M. Pruisken

A model consisting of a mixture of superconducting and quantum links is proposed to describe the integer quantum Hall transition. The quantum links correspond to tunneling of electrons between trajectories trapped in adjacent potential…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yonatan Dubi , Yigal Meir , Yshai Avishai

Transport measurements on two dimensional electron systems in moderate magnetic fields suggest the existence of a spontaneously orientationally-ordered, compressible liquid state. We develop and analyze a microscopic theory of such a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Leo Radzihovsky , Alan T. Dorsey

The superconductor-insulator transition in two dimensions has been widely investigated as a paradigmatic quantum phase transition. The topic remains controversial, however, because many experiments exhibit a metallic regime with saturating…

Mesoscale and Nanoscale Physics · Physics 2019-06-07 C. G. L. Bøttcher , F. Nichele , M. Kjaergaard , H. J. Suominen , J. Shabani , C. J. Palmstrøm , C. M. Marcus

We study the fractional quantum Hall effect in three dimensional systems consisting of infinitely many stacked two dimensional electron gases placed in transverse magnetic fields. This limit introduces new features into the bulk physics…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

At small layer separations, the ground state of a nu=1 bilayer quantum Hall system exhibits spontaneous interlayer phase coherence and has a charged-excitation gap E_g. The evolution of this state with increasing layer separation d has been…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 John Schliemann , S. M. Girvin , A. H. MacDonald

The disorder-driven metal-insulator transition in the quantum spin Hall systems is studied by scaling analysis of the Thouless conductance $g$. Below a critical disorder strength, the conductance is independent of the sample size $M$, an…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Zhong Xu , L. Sheng , R. Shen , Baigeng Wang , D. Y. Xing

The scaling behavior of the quantum phase transition from an insulator to a quantum Hall plateau state has often been examined within systems realizing Landau levels. We study the topological transition in energy band models with nonzero…

Disordered Systems and Neural Networks · Physics 2014-04-30 Jerimie Priest , S. P. Lim , D. N. Sheng

We study the tunneling between two quantum Hall systems, along a quasi one-dimensional interface. A detailed analysis relates microscopic parameters, characterizing the potential barrier, with the effective field theory model for the…

Condensed Matter · Physics 2009-10-22 D. G. Barci , L. Moriconi

We consider magnetotransport in high-mobility 2D electron gas in a non-quantizing magnetic field. We employ a weakly chiral network model to test numerically the prediction of the scaling theory that the transition from an Anderson to a…

Disordered Systems and Neural Networks · Physics 2012-01-19 M. Ortuño , A. M. Somoza , V. V. Mkhitaryan , M. E. Raikh

The experimental observation of the long-sought quantum anomalous Hall effect was recently reported in magnetically doped topological insulator thin films [Chang et al., Science 340, 167 (2013)]. An intriguing observation is a rapid…

Mesoscale and Nanoscale Physics · Physics 2013-10-04 Hai-Zhou Lu , An Zhao , Shun-Qing Shen

The tunneling conductance between two parallel 2D electron systems has been measured in a regime of strong interlayer Coulomb correlations. At total Landau level filling $\nu_T=1$ the tunnel spectrum changes qualitatively when the boundary…

Mesoscale and Nanoscale Physics · Physics 2012-12-24 I. B. Spielman , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

A quantum phase transition arises from competition between different ground states and is typically accessed by varying a single physical parameter near absolute zero temperature. The quantum anomalous Hall (QAH) effect with high Chern…

Mesoscale and Nanoscale Physics · Physics 2025-08-27 Ling-Jie Zhou , Deyi Zhuo , Ruobing Mei , Yi-Fan Zhao , Kaijie Yang , Ruoxi Zhang , Zijie Yan , Han Tay , Moses H. W. Chan , Chao-Xing Liu , Cui-Zu Chang

The quantum Hall transition is one of the simplest and most studied quantum phase transitions. Nevertheless, the experimental observation of a new phase in this regime, the quantum Hall insulator, still remains a puzzle since the first…

Disordered Systems and Neural Networks · Physics 2010-06-01 Roi Levy , Yigal Meir

Low-energy magnon bands in a two-dimensional spin ice model become integer quantum magnon Hall bands. By calculating the localization length and the two-terminal conductance of magnon transport, we show that the magnon bands with disorders…

Disordered Systems and Neural Networks · Physics 2016-12-21 Baolong Xu , Tomi Ohtsuki , Ryuichi Shindou

The nature of a metal--insulator transition tuned by external gates in quantum Hall (QH) systems with point constrictions at integer bulk filling, as reported in recent experiments of Roddaro et al. [1], is addressed. We are particularly…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Emiliano Papa , Tilo Stroh

We show that fully-localized, three-dimensional, time-reversal-symmetry-broken insulators do not belong to a single phase of matter but can realize topologically distinct phases that are labelled by integers. The phase transition occurs…

Mesoscale and Nanoscale Physics · Physics 2026-02-18 Bastien Lapierre , Titus Neupert , Luka Trifunovic

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

Weakly disordered bilayer quantum Hall systems at filling factor $\nu=1$ show spontaneous interlayer phase coherence if the layers are sufficiently close together. We study the collective modes in the system, the current-voltage…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yogesh N. Joglekar , Allan H. MacDonald

Quantum systems under electric fields provide a powerful framework for uncovering and controlling novel quantum phases, especially in low-dimensional systems with strong correlations. In this work, we investigate quantum phase transitions…

Strongly Correlated Electrons · Physics 2025-05-22 D. Arisa , R. M. Dos Santos , Isaac M. Carvalho , Vivian V. França