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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…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

Electrons can form a two-dimensional electron gas at metal surfaces, where lateral confinement leads to quantum-well states. Such states have been observed for highly itinerant electrons, but it remains an open question whether quantum-well…

The discovery of the fractional quantum Hall effect in GaAs-based semiconductor devices has lead to new advances in condensed matter physics, in particular the possibility for exotic, topological phases of matter that possess fractional,…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Z. Papic , D. A. Abanin , Y. Barlas , R. N. Bhatt

The fractional quantum Hall effect in 2D electron gases submitted to large magnetic fields remains one of the most striking phenomena in condensed matter physics. Historically, the first observed signature is a Hall resistance quantized to…

Mesoscale and Nanoscale Physics · Physics 2022-08-29 Nicolas Rougerie

The discovery of the anomalous Hall effect (AHE) in bulk metallic antiferromagnets (AFMs) motivates the search of the same phenomenon in two-dimensional (2D) systems, where a quantized anomalous Hall conductance can in principle be…

Atoms deposited on two-dimensional (2D) electronic materials, such as graphene, can exhibit unconventional many-body correlations, not accessible in other settings. All of these are driven by van der Waals forces: between the atoms…

Mesoscale and Nanoscale Physics · Physics 2022-01-13 Adrian Del Maestro , Carlos Wexler , Juan M. Vanegas , Taras Lakoba , Valeri N. Kotov

Layered oxide heterostructures are the new routes to tailor desired electronic and magnetic phases emerging from competing interactions involving strong correlation, orbital hopping, tunnelling and lattice coupling phenomena. Here, we…

Strongly Correlated Electrons · Physics 2018-10-02 S. Samanta , S. B. Mishra , B. R. K. Nanda

Two-dimensional electron systems with fascinating properties exist in multilayers of standard semiconductors, on helium surfaces, and in oxides. Compared to the two-dimensional (2D) electron gases of semiconductors, the 2D electron systems…

Strongly Correlated Electrons · Physics 2016-06-22 J. Zabaleta , V. S. Borisov , R. Wanke , H. O. Jeschke , S. C. Parks , B. Baum , A. Teker , T. Harada , K. Syassen , T. Kopp , N. Pavlenko , R. Valentí , J. Mannhart

The rapid discovery of two-dimensional (2D) van der Waals (vdW) quantum materials has led to heterostructures that integrate diverse quantum functionalities such as topological phases, magnetism, and superconductivity. In this context, the…

The tunneling into the {\em bulk} of a 2D electron system (2DES) in strong magnetic field is studied near the integer quantum Hall transitions. We present a nonperturbative calculation of the tunneling density of states (TDOS) for both…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ziqiang Wang , Shanhui Xiong

Quantum Hall effect (QHE), the ground to construct modern conceptual electronic systems with emerging physics, is often much influenced by the interplay between the host two-dimensional electron gases and the substrate, sometimes predicted…

We report the observation of quantum Hall effect (QHE) in a Bi$_2$Se$_3$ single crystal having carrier concentration ($n$) $\sim1.13\times10^{19}$cm$^{-3}$, three dimensional Fermi surface and bulk transport characteristics. The plateaus in…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Devendra Kumar , Archana Lakhani

The study of quantum Hall effect (QHE) is a foundation of topological physics, inspiring extensive explorations of its high-dimensional generalizations. Notably, the four dimensional (4D) QHE has been experimentally realized in synthetic…

Strongly Correlated Electrons · Physics 2026-02-11 Junwen Zhao , Xue Meng , Wei Zhu , Congjun Wu

The electromagnetic characteristics of double-layer quantum Hall systems are studied, with projection to the lowest Landau level taken into account and intra-Landau-level collective excitations treated in the single-mode approximation. It…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. Shizuya

We consider a system of weakly coupled one-dimensional wires forming a three-dimensional stack in the presence of a spatially periodic modulation of the chemical potential along the wires, equivalent to a charge density wave (CDW). An…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Paweł Szumniak , Daniel Loss , Jelena Klinovaja

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

The exsitance of three-dimensional Hall effect (3DQHE) due to spontaneous Fermi surface instabilities in strong magnetic field was proposed decades ago, and has stimulated recent progress in experiments. The reports in recent experiments…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 H. Geng , G. Y. Qi , L. Sheng , W. Chen , D. Y. Xing

Experiments on a nearly spin degenerate two-dimensional electron system reveals unusual hysteretic and relaxational transport in the fractional quantum Hall effect regime. The transition between the spin-polarized (with fill fraction $\nu =…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. Eom , H. Cho , W. Kang , K. L. Campman , A. C. Gossard , M. Bichler , W. Wegscheider

We analysis the quantum Hall effect exhibited by a system of particles moving in a higher dimensional space. This can be done by considering particles on the Bergman ball {\bb{B}_{\rho}^d} of radius \rho in the presence of an external…

High Energy Physics - Theory · Physics 2010-04-05 Ahmed Jellal

Due to the potential applications in the low-power-consumption spintronic devices, the quantum anomalous Hall effect (QAHE) has attracted tremendous attention in past decades. However, up to now, QAHE was only observed experimentally in…

Materials Science · Physics 2021-01-13 Zhen Zhang , Jing-Yang You , Xing-Yu Ma , Bo Gu , Gang Su