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We study the role of electron-electron interactions near integer and abelian fractional quantum Hall (QH) transitions using composite fermion (CF) representations. Interaction effects are encapsulated in CF theories as gauge fluctuations.…

强关联电子 · 物理学 2022-08-26 Prashant Kumar , P. A. Nosov , S. Raghu

I review recent novel experimental and theoretical advances in the physics of quantum Hall effect bilayers. Of particular interest is a broken symmetry state which optimizes correlations by putting the electrons into a coherent…

介观与纳米尺度物理 · 物理学 2017-08-23 S. M. Girvin

We study theoretically the two interacting one-dimensional helical modes at the edges of the quantum spin Hall systems. A new type of inter-edge correlated liquid (IECL) without the spin gap is found. This liquid shows the diverging density…

超导电性 · 物理学 2015-05-13 Yukio Tanaka , Naoto Nagaosa

The electronic properties of quasi two-dimensional multicomponent systems are investigated in the presence of a perpendicular magnetic field. The effects of the presence of a few valence band holes on the properties of quantum Hall systems…

介观与纳米尺度物理 · 物理学 2007-05-23 John J. Quinn , Arkadiusz Wojs , Kyung-Soo Yi

We consider a fully spin-polarized quantum Hall system with no interlayer tunneling at total filling factor $\nu=1/k$ (where $k$ is an odd integer) using the Chern-Simons-Ginzburg-Landau theory. Exploiting particle-vortex duality and the…

介观与纳米尺度物理 · 物理学 2009-10-31 Eugene Demler , Chetan Nayak , Sankar Das Sarma

We find that the behaviors of the voltage-current characteristics as one enters the low-density insulating state and integer quantum Hall insulating states in the ultra-clean two-dimensional electron system in SiGe/Si/SiGe quantum wells are…

强关联电子 · 物理学 2025-10-22 M. Yu. Melnikov , D. G. Smirnov , A. A. Shashkin , S. -H. Huang , C. W. Liu , S. V. Kravchenko

We show that a non-Fermi liquid state of interacting electrons in two dimensions is stable in the presence of disorder and is a perfect conductor, provided the interactions are sufficiently strong. Otherwise, the disorder leads to…

无序系统与神经网络 · 物理学 2009-10-30 Sudip Chakravarty , Lan Yin , Elihu Abrahams

We study two interacting electrons in a two-dimensional system under a strong magnetic field and show that their numerically exact solutions organize into a set of {\em sub-Landau levels} characterized by relative angular momentum quantum…

强关联电子 · 物理学 2026-04-07 Guo-Qiang Hai

We consider a two-dimensional electron system subjected to a short-ranged nonmagnetic disorder potential, Coulomb interactions, and Rashba spin-orbit coupling. The path-integral approach incorporated within the Keldysh formalism is used to…

介观与纳米尺度物理 · 物理学 2022-12-07 Maxim Dzero , Alex Levchenko

We review recent experimental results on the metal-insulator transition and low-density phases in strongly-interacting, low-disordered Si-based two-dimensional electron systems. Special attention is given to the metallic state in…

强关联电子 · 物理学 2021-12-13 A. A. Shashkin , S. V. Kravchenko

We study the behavior of the extended states of a two-dimensional electron system in silicon in a magnetic field, B. Our results show that the extended states, corresponding to the centers of different Landau levels, merge with the lowest…

凝聚态物理 · 物理学 2016-08-31 S. V. Kravchenko , Whitney Mason , J. E. Furneaux , V. M. Pudalov

The interaction energy of the two-dimensional electron system in the region of fractional quantum Hall effect is considered within the Chern-Simons composite fermion approach. In the limit when Coulomb interaction is very small comparing to…

介观与纳米尺度物理 · 物理学 2009-10-31 P. Sitko

We examine the effects of electron-electron interactions on transport between edge states in a multilayer integer quantum Hall system. The edge states of such a system, coupled by interlayer tunneling, form a two-dimensional, chiral metal…

介观与纳米尺度物理 · 物理学 2007-05-23 J. W. Tomlinson , J. -S. Caux , J. T. Chalker

Magnetotransport phenomena often provide critically important information about two-dimensional (2D) electron systems. For example, the independence of magneto-photo-resistance of 2D electrons in best-quality quantum wells on the…

介观与纳米尺度物理 · 物理学 2025-07-11 P. S. Alekseev , A. P. Alekseeva

The problem of noninteracting electrons in the presence of annealed magnetic disorder, in addition to nonmagnetic quenched disorder, is considered. It is shown that the proper physical interpretation of this model is one of electrons…

统计力学 · 物理学 2009-11-07 D. Belitz , T. R. Kirkpatrick

We study level correlations of disordered systems with chiral unitary symmetry (AIII symmetry). We use a random matrix model with a finite correlation length to derive a supersymmetric nonlinear sigma model. The result is compared with…

无序系统与神经网络 · 物理学 2007-05-23 Kazutaka Takahashi

A two-dimensional quantum Hall system is studied for a wide class of potentials including single-body random potentials and repulsive electron-electron interactions. We assume that there exists a non-zero excitation gap above the ground…

介观与纳米尺度物理 · 物理学 2007-05-23 Tohru Koma

Two-dimensional electron gases in strong magnetic fields provide a canonical platform for realizing a variety of electronic ordering phenomena. Here we review the physics of one intriguing class of interaction-driven quantum Hall states:…

强关联电子 · 物理学 2021-05-25 S. A. Parameswaran , B. E. Feldman

When electrons are confined in two dimensions and subjected to strong magnetic fields, the Coulomb interactions between them become dominant and can lead to novel states of matter such as fractional quantum Hall liquids. In these liquids…

介观与纳米尺度物理 · 物理学 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

We study the spin quantum Hall effect and transitions between Hall plateaus in quasi two-dimensional network models consisting of several coupled layers. Systems exhibiting the spin quantum Hall effect belong to class C in the symmetry…

无序系统与神经网络 · 物理学 2015-03-18 J. T. Chalker , M. Ortuño , A. M. Somoza