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The behaviour of the critical point between quantum Hall plateaux, as the Zeeman energy is varied, is analysed using modular symmetry of the Hall conductivities following from the law of corresponding states. Flow diagrams for the…

Strongly Correlated Electrons · Physics 2012-03-07 Brian P. Dolan

By designing a multi-channel millimeter Hall measurement configuration, we realize the carrier-density (locally) controllable measurement on the transport property in 2H MoS$_{2}$. We observe a linearly increased Hall conductivity and…

Mesoscale and Nanoscale Physics · Physics 2024-02-21 Chen-Huan Wu , Yida Li

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

At low energy scales charge transport in the insulating Si:P is dominated by activated hopping between the localized donor electron states. Thus, theoretical models for a disordered system with electron-electron interaction are appropriate…

Disordered Systems and Neural Networks · Physics 2008-03-03 Elvira Ritz , Martin Dressel

We present measurements of transport through two tunnel-coupled quantum dots of different sizes connected in series in a strong, variable, perpendicular magnetic field. Double dot conductance was measured both as a function of magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. Livermore , D. S. Duncan , R. M. Westervelt , K. D. Maranowski , A. C. Gossard

We have realized a two-dimensional hole system (2DHS), in which the 2DHS is induced at an atomically flat hydrogen-terminated Si(111) surface by a negative gate voltage applied across a vacuum cavity. Hole densities up to $7.5\times10^{11}$…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Binhui Hu , Tomasz M. Kott , Robert N. McFarland , B. E. Kane

We investigate the relation between the diagonal ($\sigma_{xx}$) and off-diagonal ($\sigma_{xy}$) components of the conductivity tensor in the quantum Hall system. We calculate the conductivity components for a short-range impurity…

Mesoscale and Nanoscale Physics · Physics 2009-08-06 Akira Endo , Naomichi Hatano , Hiroaki Nakamura , Ryoen Shirasaki

In attempt to settle the apparent disagreements between different experimental results, transport data near quantum Hall transitions are interpreted by identifying two distinct conduction regimes. The ``classical'' regime, dominated by…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Efrat Shimshoni

The scaling behavior of the quantum phase transition from an insulator to a quantum Hall plateau state has often been examined within systems realizing Landau levels. We study the topological transition in energy band models with nonzero…

Disordered Systems and Neural Networks · Physics 2014-04-30 Jerimie Priest , S. P. Lim , D. N. Sheng

We report a procedure to determine the frequency-dependent conductance of quantum Hall structures in a broad frequency domain. The procedure is based on the combination of two known probeless methods -- acoustic spectroscopy and microwave…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 I. L. Drichko , A. M. Diakonov , V. A. Malysh , I. Yu. Smirnov , Y. M. Galperin , N. D. Ilyinskaya , A. A. Usikova , M. Kummer , H. von Känel

Complex AC-conductance, $\sigma^{AC}$, in the systems with dense Ge$_{0.7}$Si$_{0.3}$ quantum dot (QD) arrays in Si has been determined from simultaneous measurements of attenuation, $\Delta\Gamma=\Gamma(H)-\Gamma(0)$, and velocity, $\Delta…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 I. L. Drichko , A. M. Diakonov , I. Yu. Smirnov , A. V. Suslov , Y. M. Galperin , A. I. Yakimov , A. I. Nikiforov

We report experiment and theory on an ambipolar gate-controlled Si-vacuum field effect transistor (FET) where we study electron and hole (low-temperature 2D) transport in the same device simply by changing the external gate voltage to tune…

Mesoscale and Nanoscale Physics · Physics 2015-08-04 Binhui Hu , M. M. Yazdanpanah , B. E. Kane , E. H. Hwang , S. Das Sarma

The 2D semimetal consisting of heavy holes and light electrons is studied. The consideration is based on assumption that electrons are quantized by magnetic field while holes remain classical. We assume also that the interaction between…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 M. V. Entin , L. I. Magarill

We consider the quantum Hall effect (QHE) in a system of interacting electrons. Our formalism is valid for systems in the presence of an external magnetic field, as well as for systems with a nontrivial band topology. That is, the…

Mesoscale and Nanoscale Physics · Physics 2022-09-01 J. Miller , M. A. Zubkov

We study the quantum Hall transition using the density-density correlation function. We show that in the limit h->0 the electron density moves along the percolating trajectories, undergoing normal diffusion. The localization exponent…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. Gurarie , A. Zee

A system of electrons in two dimensions and strong magnetic fields can be tuned to create a gapped 2D system with one dimensional channels along the edge. Interactions among these edge modes can lead to independent transport of charge and…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Vivek Venkatachalam , Sean Hart , Loren Pfeiffer , Ken West , Amir Yacoby

We study the quantum Hall effect(QHE) on the Kagom\'{e} lattice with anisotropy in one of the hopping integrals. We find a new type of QHE characterized by the quantization rules for Hall conductivity $\sigma_{xy}=2ne^{2}/h$ and Landau…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Shun-Li Yu , Jian-Xin Li , Li Sheng

Using uniaxial stress to tune the critical density near that of the sample, we have studied in detail the low-temperature conductivity of p-type Si:B in the insulating phase very near the metal-insulator transition. For all values of…

Strongly Correlated Electrons · Physics 2009-10-31 s. Bogdanovich , D. Simonian , S. V. Kravchenko , M. P. Sarachik , R. N. Bhatt

We investigate the finite-size scaling behavior of the conductivity in a two-dimensional Dirac electron gas within a chiral sigma model. Based on the fact that the conductivity is a function of system size times scattering rate, we obtain a…

Mesoscale and Nanoscale Physics · Physics 2014-12-01 Andreas Sinner , Klaus Ziegler

We studied electrical resistance of a single-crystalline SmB6 sample with a focus on the region of the "low-temperature resistivity plateau". Our observations did not show any true saturation of the electrical resistance at temperatures…

Strongly Correlated Electrons · Physics 2017-09-08 Marianna Batkova , Ivan Batko , Slavomir Gabani , Emil Gazo , Elena Konovalova , Vladimir Filippov
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