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Buried-channel semiconductor heterostructures are an archetype material platform to fabricate gated semiconductor quantum devices. Sharp confinement potential is obtained by positioning the channel near the surface, however nearby surface…

We report on transport measurements of dual-gated, single-layer graphene devices in the quantum Hall regime, allowing for independent control of the filling factors in adjoining regions. Progress in device quality allows us to study…

Mesoscale and Nanoscale Physics · Physics 2014-05-15 F. Amet , J. R. Wiliams , K. Watanabe , T. Taniguchi , D. Goldhaber-Gordon

We study one-dimensional transport in focused-ion-beam written in-plane-gate transistors on III-V heterostructures at moderately low temperatures at zero bias without any external magnetic field applied. In accordance with a recent proposal…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Ralf D. Tscheuschner , Andreas D. Wieck

We develop a microscopic formalism to study the fractional quantum Hall plateaus at filling factors $\nu $ away from $1/2\beta$ $\beta$ an integer. The theory is in terms of quasiparticles which carry a charge $e^{\ast}$ equal to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. Pasquier

We give a simple macroscopic phase-space explanation of fractional quantum Hall effect (FQHE), in a fashion reminiscent of the Landau-Ginsburg macroscopic symmetry breaking analyses. This is in contrast to the more complicated microscopic…

Mesoscale and Nanoscale Physics · Physics 2021-08-10 F. A Buot , G. Maglasang , A. R. F. Elnar , C. M. Galon

Thermoelectric transport coefficients are determined for semiconductor quantum wires with weak thickness fluctuations. Such systems exhibit anomalies in conductance near 1/4 and 3/4 of 2e^2/h on the rising edge to the first conductance…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 T. Rejec , A. Ramsak , J. H. Jefferson

We demonstrate using scanning tunneling microscopy and spectroscopy the electron quantization within metallic Au atomic wires self-assembled on a Si(111) surface and segmented by adatom impurities. The local electronic states of wire…

Mesoscale and Nanoscale Physics · Physics 2016-01-06 Eui Hwan Do , Han Woong Yeom

Since the ground-breaking discovery of the quantum Hall effect, half-quantized quantum Hall plateaus have been some of the most studied and sought-after states. Their importance stems not only from the fact that they transcend the composite…

We have studied the Zeeman splitting in ballistic hole quantum wires formed in a (311)A quantum well by surface gate confinement. Transport measurements clearly show lifting of the spin degeneracy and crossings of the subbands when an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. Danneau , O. Klochan , W. R. Clarke , L. H. Ho , A. P. Micolich , M. Y. Simmons , A. R. Hamilton , M. Pepper , D. A. Ritchie , U. Zuelicke

Recent experimental work on locally gated graphene layers resulting in p-n junctions have revealed quantum Hall effect in their transport behavior. We explain the observed conductance quantization which is fractional in the bipolar regime…

Mesoscale and Nanoscale Physics · Physics 2007-08-07 D. A. Abanin , L. S. Levitov

Fractional conductance is measured by partitioning $\nu = 1$ edge state using gate-tunable fractional quantum Hall (FQH) liquids of filling 1/3 or 2/3 for current injection and detection. We observe two sets of FQH plateaus 1/9, 2/9, 4/9…

Mesoscale and Nanoscale Physics · Physics 2020-08-19 Tanmay Maiti , Pooja Agarwal , Suvankar Purkait , G J Sreejith , Sourin Das , Giorgio Biasiol , Lucia Sorba , Biswajit Karmakar

Quantum Hall effect (QHE) is a macroscopic manifestation of quantized states which only occurs in confined two-dimensional electron gas (2DEG) systems. Experimentally, QHE is hosted in high mobility 2DEG with large external magnetic field…

Materials Science · Physics 2018-10-17 Gang Qiu , Yixiu Wang , Yifan Nie , Yongping Zheng , Kyeongjae Cho , Wenzhuo Wu , Peide D. Ye

We report an experimental study of one-dimensional (1D) electronic transport in an InSb semiconducting nanowire. Three bottom gates are used to locally deplete the nanowire creating a ballistic quantum point contact with only a few…

Mesoscale and Nanoscale Physics · Physics 2018-03-12 J. C. Estrada Saldaña , Y. M. Niquet , J. P. Cleuziou , E. J. H. Lee , D. Car , S. R. Plissard , E. P. A. M. Bakkers , S. De Franceschi

Evaluation of critical bandstructure and quantum transport parameters in two-dimensional systems is challenging when competition emerges among different energy scales shaping quantum oscillations in a magnetic field. Here we overcome this…

Mesoscale and Nanoscale Physics · Physics 2025-09-22 Davide Costa , Lucas E. A. Stehouwer , Davide Degli Esposti , Giordano Scappucci

We experimentally study quantized conductance in an electrostatically defined constriction in a high-mobility InAs two-dimensional electron gas. A parallel magnetic field lifts the spin degeneracy and allows for the observation of plateaus…

We have studied quantum wires using the Green's function technique and the density-functional theory, calculating the electronic structure and the conductance. All the numerics are implemented using the finite-element method with a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Paula Havu , Martti Puska , Risto Nieminen , Ville Havu

We fabricate an undoped Ge quantum well under 30 nm Ge0.8Si0.2 shallow barrier with reverse grading technology. The under barrier is deposited by Ge0.8Si0.2 followed by Ge0.9Si0.1 so that the variation of Ge content forms a sharp interface…

Certain fractional quantum Hall edges have been predicted to undergo quantum phase transitions which reduce the number of edge channels and at the same time bind electrons together. However, detailed studies of experimental signatures of…

Mesoscale and Nanoscale Physics · Physics 2023-10-24 Christian Spånslätt , Ady Stern , Alexander D. Mirlin

When charge transport occurs under conditions like topological protection or ballistic motion, the conductance of low-dimensional systems often exhibits quantized values in units of $e^{2}/h$, where $e$ and $h$ are the elementary charge and…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 Baojuan Dong , Kai Zhao , Kenji Watanabe , Takashi Taniguchi , Jianming Lu , Jianting Zhao , Fengcheng Wu , Jing Zhang , Zheng Han

We present the findings of the 0.7(2e2/h) feature in the hole quantum conductance staircase that is caused by silicon one-dimensional channels prepared by the split-gate method inside the p-type silicon quantum well (SQW) on the n-type Si…

Mesoscale and Nanoscale Physics · Physics 2008-05-01 N. T. Bagraev , N. G. Galkin , W. Gehlhoff , L. E. Klyachkin , A. M. Malyarenko