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We report an efficient quantum algorithm for estimating the local density of states (LDOS) on a quantum computer. The LDOS describes the redistribution of energy levels of a quantum system under the influence of a perturbation. Sometimes…

Quantum Physics · Physics 2009-11-10 Joseph Emerson , Seth Lloyd , David Poulin , David Cory

It is shown how the electromagnetic response of the 2DEG under Quantumm Hall Effect regime, chracterized by the Chern-Simons topological action, transforms the sample impurities and defects in charge reservoirs that stabilize the the Hall…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Alejandro Cabo Montes de Oca , Danny Martinez-Pedrera

We report capacitors in which a finite electronic compressibility of graphene dominates the electrostatics, resulting in pronounced changes in capacitance as a function of magnetic field and carrier concentration. The capacitance…

Mesoscale and Nanoscale Physics · Physics 2010-09-22 L. A. Ponomarenko , R. Yang , R. V. Gorbachev , P. Blake , M. I. Katsnelson , K. S. Novoselov , A. K. Geim

Magnetoresistance measurements have been performed on a gated two-dimensional electron system (2DES) separated by a thin barrier layer from a layer of InAs self-assembled quantum dots (QDs). Clear features of the quantum Hall effect were…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Takehana , T. Takamasu , G. Kido , H. Henini

We collect and review works which treat two-dimensional electron gases in quantum wells (mostly GaAs/GaAlAs heterostructures) in the presence of quantizing magnetic fields as open systems in contact with outside reservoirs. If a reservoir…

Materials Science · Physics 2015-06-16 W. Zawadzki , A. Raymond , M. Kubisa

The distribution of electron density in the quantum Hall liquid is considered in the presence of macroscopic density gradient caused by side electrodes or inhomogeneous doping. In this case different Landau levels are occupied in different…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. L. Efros

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

We investigate the coupling between quantum Hall (QH) edge channels (ECs) located at opposite sides of a 50-um-wide Hall bar by exciting a charged wavepacket in one EC and detecting time-dependent current in the other EC. In a QH state, the…

Strongly Correlated Electrons · Physics 2018-12-05 Ngoc Han Tu , Masayuki Hashisaka , Takeshi Ota , Yoshiaki Sekine , Koji Muraki , Toshimasa Fujisawa , Norio Kumada

We study the energy spectrum and the quantized Hall conductance of electrons in a two-dimensional periodic potential with perpendicular magnetic field WITHOUT neglecting the coupling of the Landau bands. Remarkably, even for weak Landau…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. Springsguth , R. Ketzmerick , T. Geisel

We present a gating scheme to separate even strong parallel conductance from the magneto-transport signatures and properties of a two-dimensional electron system. By varying the electron density in the parallel conducting layer, we can…

Mesoscale and Nanoscale Physics · Physics 2017-01-27 Sebastian Peters , Lars Tiemann , Christian Reichl , Stefan Fält , Werner Dietsche , Werner Wegscheider

This paper has its motivation in the study of the Fractional Quantum Hall Effect. We consider 2D quantum particles submitted to a strong perpendicular magnetic field, reducing admissible wave functions to those of the Lowest Landau Level.…

Quantum Gases · Physics 2014-12-15 Nicolas Rougerie , Jakob Yngvason

We determine the effective $g$-factor ($|g^\ast|$) of a two-dimensional electron gas (2DEG) using a new method based on capacitance spectroscopy. The capacitance-voltage profile of a 2DEG in an InAs/AlGaSb quantum well measured in an…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Hiroshi Irie , Takafumi Akiho , Koji Muraki

We report on theoretical and experimental investigations of a novel hysteresis effect that has been observed on the magnetoresistance of quantum-Hall bilayer systems. Extending to these system a recent approach, based on the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Afif Siddiki , Stefan Kraus , Rolf R. Gerhardts

We study the cohesive energy and elastic properties as well as normal modes of the Wigner and bubble crystals of the two-dimensional electron system (2DES) in higher Landau levels. Using a simple Hartree-Fock approach, we show that the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. M. Ettouhami , F. D. Klironomos , Alan T. Dorsey

A Kubo inspired formalism is proposed to compute the longitudinal and transverse dynamical conductivities of an electron in a plane (or a gas of electrons at zero temperature) coupled to the potential vector of an external local magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Jean Desbois , Stéphane Ouvry , Christophe Texier

Low-temperature in-plane magnetotransport measurements have been performed on adsorbate-induced electron systems formed at in-situ cleaved surfaces of p-type InAs. The Ag-coverage dependence of the surface electron density strongly supports…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yukihide Tsuji , Toshimitsu Mochizuki , Tohru Okamoto

In this work we use self-consistent method considering a two dimensional electron gas system in the integer quantum Hall regime, to calculate the temperature induced decay of incompressible stripes. There are two types of incompressible…

Strongly Correlated Electrons · Physics 2014-06-23 Tao Yang , Keith A. Benedict

We measured the local density of states of a quasi two-dimensional electron system (2DES) near defects, artificially created by Ar-ion sputtering, on surfaces of highly oriented pyrolytic graphite (HOPG) with scanning tunneling spectroscopy…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Y. Niimi , H. Kambara , Hiroshi Fukuyama

We study the dissipative and Hall viscosity of a disordered noninteracting 2D electrons, both analytically and numerically. Analytically, we employ the self-consistent Born approximation, explicitly taking into account the modification of…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 I. S. Burmistrov , M. Goldstein , M. Kot , V. D. Kurilovich , P. D. Kurilovich

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
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