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Our microscopic understanding of the integer quantum Hall effect is still incomplete. For decades, there has been a controversial discussion about "where the current flows" if the Hall resistance is quantized. Here, we qualitatively analyze…

Mesoscale and Nanoscale Physics · Physics 2026-05-18 Serkan Sirt , Stefan Ludwig

Monolayer and multilayer MoS$_2$ are extremely fascinating materials for the use in lasers, compact optical parametric amplifiers, and high-power detectors which demands high excitation light-matter interaction. Consequently, it is…

Materials Science · Physics 2024-07-09 Durga Prasad Khatua , Asha Singh , Sabina Gurung , J. Jayabalan

For applications to sensor design, the product nxmu of the electron density n and the mobility mu is a key parameter to be optimized for enhanced device sensitivity. We model the carrier mobility in a two dimensional electron gas (2DEG)…

Materials Science · Physics 2007-05-23 Y. Shao , S. A. Solin , L. R. Ram-Mohan

We provide a possible theoretical explanation for the recently observed giant positive magnetoresistance in high mobility low density {\it quasi}-two dimensional electron and hole systems. Our explanation is based on the strong coupling of…

Strongly Correlated Electrons · Physics 2009-10-31 S. Das Sarma , E. H. Hwang

The response of particle density to a dilation of a periodic potential in an insulator, with or without a fixed background potential or a magnetic field, is shown to be quantized. A similar phenomenon occurs in a quantum Hall system, where…

Condensed Matter · Physics 2009-10-22 Q. Niu

Quantum transport measurements are performed in gate-defined, high-quality, two-dimensional hole and electron systems in an undoped InSb quantum well. For both polarities, the carrier systems show tunable spin-orbit interaction as extracted…

A set of stacked two-dimensional electron systems in a perpendicular magnetic field exhibits a three-dimensional version of the quantum Hall effect if interlayer tunneling is not too strong. When such a sample is in a quantum Hall plateau,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. W. Tomlinson , J. -S. Caux , J. T. Chalker

We report on the electronic transport properties of black phosphorus and analyze them using a two-carrier model in a wide range of pressure up to 2.5 GPa. In semiconducting state at 0.29 GPa, the remarkable non-linear behavior in the Hall…

Strongly Correlated Electrons · Physics 2017-03-16 Kazuto Akiba , Atsushi Miyake , Yuichi Akahama , Kazuyuki Matsubayashi , Yoshiya Uwatoko , Masashi Tokunaga

We develop simple density-matrix models to describe the role of coherence in resonant-tunneling (RT) transport of quantum-cascade lasers (QCLs). Specifically, we investigate the effects of coherent coupling between the lasing levels with…

Mesoscale and Nanoscale Physics · Physics 2009-12-16 Sushil Kumar , Qing Hu

Metrological investigations of the quantum Hall effect (QHE) completed by transport measurements at low magnetic field are carried out in a-few-$\mu\mathrm{m}$-wide Hall bars made of monolayer (ML) or bilayer (BL) exfoliated graphene…

Mesoscale and Nanoscale Physics · Physics 2013-08-26 J. Guignard , D. Leprat , D. C. Glattli , F. Schopfer , W. Poirier

The nonlinear behavior of the Hall resistivity at low magnetic fields in single quantum well GaAs/In$_x$Ga$_{1-x}$As/GaAs heterostructures with degenerated electron gas is studied. It has been found that this anomaly is accompanied by the…

Disordered Systems and Neural Networks · Physics 2018-07-11 G. M. Minkov , A. V. Germanenko , O. E. Rut , A. A. Sherstobitov , B. N. Zvonkov

We propose a method by which the quantization of the Hall conductance can be directly measured in the transport of a one-dimensional atomic gas. Our approach builds on two main ingredients: (1) a constriction optical potential, which…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 G. Salerno , H. M. Price , M. Lebrat , S. Häusler , T. Esslinger , L. Corman , J. -P. Brantut , N. Goldman

A model based on the alternating structure of the imbedded conduction layers (the Cu-O2 planes) with the charge-transfer-insulator (CTI) layers is proposed. There are three kinds of carriers, each with a different behavior: conduction-like…

Superconductivity · Physics 2012-07-05 LongJian Liu

A quasiclassical theory for dc magnetotransport in a modulated quantum Hall system near filling factor $\nu={1/2}$ is presented. A weak one-dimensional electrostatic potential acts on the two-dimensional electron gas. Closed form analytic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Natalya A. Zimbovskaya , Godfrey Gumbs , Joseph L. Birman

We study experimentally and theoretically the effects of disorder, nonlinear screening, and magnetism in semiconductor heterostructures containing a $\delta$-layer of Mn, where the charge carriers are confined within a quantum well and…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Vikram Tripathi , Kusum Dhochak , B. A. Aronzon , V. V. Rylkov , A. B. Davydov , Bertrand Raquet , Michel Goiran , K. I. Kugel

Cavity quantum electrodynamics (cQED) provides strong light-matter interactions that can be used for manipulating and detecting quantum states. The interaction can be enhanced by increasing the resonator's impedance, while approaching the…

Mesoscale and Nanoscale Physics · Physics 2026-02-12 Chaojing Lin , Kosei Teshima , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

A consistent methodology is presented to extract carrier concentrations in n-type Ge from measurements of the infrared dielectric function and the Hall effect. In the case of the optical measurements, usually carried out using spectroscopic…

Materials Science · Physics 2023-04-12 José Menéndez , Chi Xu , John Kouvetakis

Temperature dependent magneto-transport measurements in magnetic fields of up to 12 Tesla were performed on thin film vanadium dioxide (VO2) across the metal-insulator transition (MIT). The Hall carrier density increases by 4 orders of…

The conductivity of a two-dimensional electron gas in a parallel magnetic field is calculated. We take into account the magnetic field induced spin-splitting, which changes the density of states, the Fermi momentum and the screening…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. T. Dolgopolov , A. Gold

Filling factor $\nu=1$ incompressible states in ideal bilayer quantum Hall systems have spontaneous interlayer phase coherence and can be regarded either as easy-plane pseudospin ferromagnets or as condensates of excitons formed from…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Anton A. Burkov , Yogesh N. Joglekar , Enrico Rossi , Allan H. MacDonald