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We study the electronic transport in the lowest Landau level of disordered two-dimensional semimetals placed in a homogeneous perpendicular magnetic field. The material system is modeled by the Bernevig-Hughes-Zhang Hamiltonian, which has…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Andreas Sinner , Gregor Tkachov

Recent magnetotransport measurements in low-disorder electron systems confined to GaAs/AlGaAs samples revealed that the $\nu = 1$ integer quantum Hall plateau is broken into three distinct regions. These three regions were associated with…

Mesoscale and Nanoscale Physics · Physics 2025-09-19 Haoyun Huang , Waseem Hussain , S. A. Myers , L. N. Pfeiffer , K. W. West , G. A. Csáthy

We review low and high field magnetotransport in 80 nm-thick strained HgTe, a material that belongs to the class of strong three-dimensional topological insulators. Utilizing a top gate, the Fermi level can be tuned from the valence band…

Mesoscale and Nanoscale Physics · Physics 2020-07-02 Johannes Ziegler , Dmitriy A. Kozlov , Nikolay N. Mikhailov , Sergey A. Dvoretsky , Dieter Weiss

Computer modelling of the integer quantum Hall effect based on self-consistent Hartee-Fock calculations has now reached an astonishing level of maturity. Spatially-resolved studies of the electron density at near macroscopic system sizes of…

Mesoscale and Nanoscale Physics · Physics 2021-08-03 Rudolf A. Römer , Josef Oswald

Electron drag between two two-dimensional electron gases in magnetic fields has been observed with a polarity opposite that for zero field. This negative drag requires that the electrons have a hole-like dispersion. Density dependence…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 X. G. Feng , S. Zelakiewicz , H. Noh , T. J. Ragucci , T. J. Gramila , L. N. Pfeiffer , K. W. West

For a two dimensional electron system in a strong perpendicular magnetic field B, there are extended states at each Landau level. We show that if the inverse compressibility is negative, then the extended states float downward in energy…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hans Nielsen

We present longitudinal and Hall magneto-resistance measurements of a ``magnetic'' two-dimensional electron gas (2DEG) formed in modulation-doped Zn$_{1-x-y}$Cd$_{x}$Mn$_{y}$Se quantum wells. The electron spin splitting is temperature and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. Knobel , N. Samarth , J. G. E. Harris , D. D. Awschalom

We discuss the problem of localization in two dimensional electron systems in the quantum Hall (single Landau level) regime. After briefly summarizing the well-studied problem of Anderson localization in the non-interacting case, we…

Disordered Systems and Neural Networks · Physics 2021-04-06 R. N. Bhatt , Akshay Krishna

We study magnetotransport in a high mobility Si two-dimensional electron system by in situ tilting of the sample relative to the magnetic field. A pronounced dip in the longitudinal resistivity is observed during the Landau level crossing…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Tohru Okamoto , Kohei Sasaki , Kiyohiko Toyama , Ryuichi Masutomi , Kentarou Sawano , Yasuhiro Shiraki

We calculate the quasiparticle contribution to the zero temperature Hall conductance of two-dimensional extreme type-II superconductors in a high magnetic field, using the Landau basis. As one enters the superconducting phase the Hall…

Superconductivity · Physics 2009-10-31 P. D. Sacramento

Due to its extremely rich phase diagram, the two-dimensional electron gas exposed to perpendicular magnetic field has been the subject of intense and sustained study. One particularly interesting problem in this system is that of the…

Strongly Correlated Electrons · Physics 2020-03-24 Katherine A. Schreiber , Gábor A. Csáthy

Half-filled Landau levels host an emergent Fermi-liquid which displays an instability towards pairing, culminating in a gapped even-denominator fractional quantum Hall ground state. While this pairing may be probed by tuning the…

Mesoscale and Nanoscale Physics · Physics 2019-02-19 J. Falson , D. Tabrea , D. Zhang , I. Sodemann , Y. Kozuka , A. Tsukazaki , M. Kawasaki , K. von Klitzing , J. H. Smet

We study localization in layered, three-dimensional conductors in strong magnetic fields. We demonstrate the existence of three phases - insulator, metal and quantized Hall conductor - in the two-dimensional parameter space obtained by…

Condensed Matter · Physics 2011-08-05 J. T. Chalker , A. Dohmen

We measure the conductance of a quantum point contact (QPC) while the biased tip of a scanning probe microscope induces a depleted region in the electron gas underneath. At finite magnetic field we find plateaus in the real-space maps of…

Mesoscale and Nanoscale Physics · Physics 2014-03-17 Nikola Pascher , Clemens Rössler , Thomas Ihn , Klaus Ensslin , Christian Reichl , Werner Wegscheider

We study the transport properties of $HgTe$-based quantum wells containing simultaneously electrons and holes in magnetic field B. At the charge neutrality point (CNP) with nearly equal electron and hole densities, the resistance is found…

Mesoscale and Nanoscale Physics · Physics 2012-04-24 G. M. Gusev , E. B. Olshanetsky , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , J. C. Portal

The ground states of electrons in two vertically coupled quantum dots in the presence of an external magnetic field have been studied within the density functional theory. A phase diagram of the transition to the quantum Hall state in…

Mesoscale and Nanoscale Physics · Physics 2023-01-25 A. A. Vasilchenko

We theoretically investigate quantum transport properties of quantum anomalous Hall bilayers, with arbitrary ratio of lattice constants, i.e., with lattice mismatch. In the simplest case of ratio 1 (but with different model parameters in…

Mesoscale and Nanoscale Physics · Physics 2022-08-25 Yan Yu , Yan-Yang Zhang , Si-Si Wang , Ji-Huan Guan , Xiaotian Yang , Yang Xia , Shu-Shen Li

The Hall and longitudinal conductivities of a recently studied holographic model of a quantum Hall ferromagnet are computed using the Karch-O'Bannon technique. In addition, the low temperature entropy of the model is determined. The…

High Energy Physics - Theory · Physics 2015-12-30 J. Hutchinson , C. Kristjansen , G. W. Semenoff

We investigate a gapped two-dimensional nodal-line semimetal subjected to a perpendicular magnetic field. We identify an unusual pattern for Landau levels, where the energy of Landau levels first decreases and then starts increasing versus…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Shahin Barati , Hamid Rahimpoor , Saeed H. Abedinpour

A two-layer system coupled via tunneling and with different carrier masses in each layer is investigated in the integer quantum Hall regime. Striking deviations of the one-layer Hall conductivity from the usual quantization are found, if…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. L. Chudnovskiy , S. E. Ulloa
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