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Analytical calculations based on a Landau Level (LL) picture are reported for an interface (with a finite-width Quantum Well (QW)) and for a fully three-dimensional charged quantum electronic system in an external magnetic field. They lead…

Other Condensed Matter · Physics 2015-05-20 Georgios Konstantinou , Konstantinos Moulopoulos

We analyze the Landau level (LL) structure and spin Hall effect in a MoS2 trilayer. Due to orbital asymmetry, the low-energy Dirac fermions become heavily massive and the LL energies grow linearly with $B$, rather than with $\sqrt{B}$.…

Mesoscale and Nanoscale Physics · Physics 2013-02-06 Xiao Li , Fan Zhang , Qian Niu

Recent experiments suggest that low carrier density three-dimensional (3D) metals ZrTe$_5$ and HfTe$_5$ exhibit the 3D quantum Hall (QH) effect with Hall resistivity plateaus and a metal-insulator transition in strong magnetic fields. The…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Kaiyuan Gu , Kai Torrens , Biao Lian

Unconventional features of relativistic Dirac/Weyl quasi-particles in topological materials are most evidently manifested in the 2D quantum Hall effect (QHE), whose variety is further enriched by their spin and/or valley polarization.…

Heterostructures involving transition metal dichalcogenides (TMDs) have attracted significant research interest due to the richness and versatility of the underlying physical phenomena. In this work, we investigate a heterostructure…

Materials Science · Physics 2025-10-02 Lyes Mesbahi , Omar Messaoudi , Hamid Bouzar , Samir Lounis

The zeroth Landau level (0LL) in graphene has emerged as a flat-band platform in which distinct many-body phases can be explored with unprecedented control by simply tuning the strength and/or direction of magnetic fields1-22. A rich set of…

Mesoscale and Nanoscale Physics · Physics 2021-12-23 Qi Zheng , Mo-Han Zhang , Ya-Ning Ren , Lin He

The quantum Hall system in the lowest Landau level with Zeeman term is studied by a two-state model, which has a chiral invariance. Using a diagrammatic analysis, we examine this two-state model with random impurity scattering, and find the…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 S. Hikami , K. Minakuchi

Landau level (LL) engineered photonic spin Hall effect (PSHE) holds great promise for nanoscale manipulation and steering of magneto-optical transport in two-dimensional atomic systems. Herein, we theoretically investigate PSHE modulated by…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Qiaoyun Ma , Hui Dou , Yiting Chen , Guangyi Jia , Xinxing Zhou

Monolayer graphene under a strong magnetic field near charge neutrality manifests the integer and fractional quantum Hall effects. Since only some of the four spin/valley flavors available to the electrons in each Landau level manifold are…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Jincheng An , Ajit C. Balram , Udit Khanna , Ganpathy Murthy

We demonstrate experimentally that the transitions between adjacent integer quantum Hall (QH) states are equivalent to a QH-to-insulator transition occurring in the top Landau level, in the presence of an inert background of the other…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 D. Shahar , D. C. Tsui , M. Shayegan , E. Shimshoni , S. L. Sondhi

We have observed in a low density two-dimensional hole system (2DHS) of extremely high quality (with hole density p=1.6x10^{10} cm^{-2} and mobility \mu=0.8x10^6 cm^2/Vs) that, as the 2DHS is continuously tilted with respect to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 W. Pan , G. A. Csathy , D. C. Tsui , L. N. Pfeiffer , K. W. West

We numerically study the three-dimensional (3D) quantum Hall effect (QHE) and magnetothermoelectric transport of Weyl semimetals in the presence of disorder. We obtain a bulk picture that the exotic 3D QHE emerges in a finite range of Fermi…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 R. Ma , D. N. Sheng , L. Sheng

Analytical calculations based on a Landau Level (LL) picture are reported for an interface (with a finite-width Quantum Well (QW)) and for a fully three-dimensional charged quantum electronic system in an external magnetic field. They lead…

Other Condensed Matter · Physics 2010-09-09 Georgios Konstantinou , Konstantinos Moulopoulos

Fractional quantum Hall states (FQHSs) exemplify exotic phases of low-disorder two-dimensional (2D) electron systems when electron-electron interaction dominates over the thermal and kinetic energies. Particularly intriguing among the FQHSs…

Mesoscale and Nanoscale Physics · Physics 2022-10-10 Chengyu Wang , A. Gupta , S. K Singh , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler , M. Shayegan

We report on the properties of a system of interacting electrons in a narrow channel in the quantum Hall effect regime. It is shown that an increase in the strength of the Coulomb interaction causes abrupt changes in the width of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Tapash Chakraborty , K. Niemelä , P. Pietiläinen

A variational ground state for insulating bilayer graphene (BLG), subject to quantizing magnetic fields, is proposed. Due to the Zeeman coupling, the layer anti-ferromagnet (LAF) order parameter in fully gapped BLG gets projected onto the…

Mesoscale and Nanoscale Physics · Physics 2014-06-20 Bitan Roy

In a GaAs/AlGaAs two-dimensional electron system with two occupied subbands, the experimentally determined phase diagram in the density-magnetic field plane exhibits rich topological features. Ring-like structures are observed at even…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 X. C. Zhang , D. R. Faulhaber , H. W. Jiang

The tilting angular dependence of the energy gap was measured in the bilayer quantum Hall state at the Landau level filling $\nu=1$ by changing the density imbalance between the two layers. The observed gap behavior shows a continuous…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. Terasawa , M. Morino , K. Nakada , S. Kozumi , A. Sawada , Z. F. Ezawa , N. Kumada , K. Muraki , Y. Hirayama , T. Saku

Coulomb interaction between electrons lies at the heart of magnetism in solids. In contrast to conventional two-dimensional (2D) systems, electrons in monolayer transition metal dichalcogenides (TMDs) possess coupled spin and valley degrees…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Zefang Wang , Kin Fai Mak , Jie Shan

We investigate interaction-driven integer quantum Hall states realized in Landau levels of monolayer graphene when two out of its four nearly degenerate spin-valley flavors are filled. By employing a model that accounts for interactions…

Mesoscale and Nanoscale Physics · Physics 2023-12-14 Nikolaos Stefanidis , Inti Sodemann Villadiego
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