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We report the observation of the quantized Hall effect in suspended graphene probed with a two-terminal lead geometry. The failure of earlier Hall-bar measurements is discussed and attributed to the placement of voltage probes in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2011-08-22 I. Skachko , X. Du , F. Duerr , A. Luican , D. A. Abanin , L. S. Levitov , E. Y. Andrei

We have investigated hole transport in one-dimensional quantum wires in strained germanium two-dimensional layers. The ballistic conductance characteristics show the regular quantised plateaux in units of n2e2/h, where n is an integer.…

Mesoscale and Nanoscale Physics · Physics 2018-02-15 Y. Gul , S. N. Holmes , M. Myronov , S. Kumar , M. Pepper

In this letter, we report the magneto-electronic properties of high mobility InAs quantum point contacts grown on InP substrates. The 1D conductance reaches a maximum value of 17 plateaus, quantized in units of 2e^2/h, where e is the…

Mesoscale and Nanoscale Physics · Physics 2025-03-12 I. Villar Rodriguez , Y. Gul , C. P. Dempsey , J. T. Dong , S. N. Holmes , C. J. Palmstrom , M. Pepper

In transport experiments the quantum nature of matter becomes directly evident when changes in conductance occur only in discrete steps, with a size determined solely by Planck's constant h. The observations of quantized steps in the…

We study non-equilibrium differential conductance and current fluctuations in a single quantum point contact. The two-terminal electrical transport properties -- differential conductance and shot noise -- are measured at 1.5 K as a function…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Y. Kim , W. D. Oliver , Y. Yamamoto , Y. Hirayama

Motivated by recent advances in fabricating graphene nanostructures, we find that an electron can be trapped in Z-shaped graphene nanoconstriction with zigzag edges. The central section of the constriction operates as a single-level quantum…

Mesoscale and Nanoscale Physics · Physics 2010-09-23 Adam Rycerz

When a quantum wire is weakly confined, a conductance plateau appears at e^2/h with decreasing carrier density in zero magnetic field accompanied by a gradual suppression of the 2e^2/h plateau. Applying an in-plane magnetic field B|| does…

Mesoscale and Nanoscale Physics · Physics 2008-07-24 W. K. Hew , K. J. Thomas , M. Pepper , I. Farrer , D. Anderson , G. A. C. Jones , D. A. Ritchie

A theory of electron states for graphene nanoribbons with a smoothly varying width is developed. It is demonstrated that the standard adiabatic approximation allowing to neglect the mixing of different standing waves is more restrictive for…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 M. I. Katsnelson

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…

Recent transport experiments in spatially modulated quasi-1D structures created on top of LaAlO$_3$/SrTiO$_3$ interfaces have revealed some interesting features, including phenomena conspicuously absent without the modulation. In this work,…

Mesoscale and Nanoscale Physics · Physics 2020-10-16 Gal Shavit , Yuval Oreg

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 provide a semiclassical description of the electronic transport through graphene n-p junctions in the quantum Hall regime. This framework is known to experimentally exhibit conductance plateaus whose origin is still not fully understood.…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 Pierre Carmier , Caio Lewenkopf , Denis Ullmo

We describe a phenomenological model for the conductance feature near $0.7 \times 2e^2/h$ that occurs in quantum point contacts. We focus on the transconductance at finite source-drain bias and contrast our model with the results expected…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. J. Reilly , Y. Zhang , L. DiCarlo

We report on noise measurements in a quantum dot in the presence of Kondo correlations. Close to the unitary limit, with the conductance reaching 1.8e2/h, we observed an average backscattered charge of e*~5e/3, while weakly biasing the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 O. Zarchin , M. Zaffalon , M. Heiblum , D. Mahalu , V. Umansky

The past few years have witnessed increased attention to the quest for Majorana-like excitations in the condensed matter community. As a promising candidate in this race, the one-dimensional chiral Majorana edge mode (CMEM) in topological…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 Han Hoe Yap , Longwen Zhou , Ching Hua Lee , Jiangbin Gong

Graphene nanoribbons display an imperfectly understood transport gap. We measure transport through nanoribbon devices of several lengths. In nanoribbons of length greater than or equal to 250 nm we observe transport through multiple quantum…

Mesoscale and Nanoscale Physics · Physics 2009-01-02 Kathryn Todd , Hung-Tao Chou , Sami Amasha , David Goldhaber-Gordon

We study electron transport properties of a monoatomic graphite layer (graphene) with different types of disorder at half filling. We show that the transport properties of the system depend strongly on the symmetry of disorder. We find that…

Mesoscale and Nanoscale Physics · Physics 2007-10-04 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

As it is well known there may arise situations when an interaction between electrons is attractive. A weak attraction should manifest itself strongly in 1D systems, since it can create two-electron bound states. This paper interprets the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. V. Flambaum , M. Yu. Kuchiev

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 have developed the combination of an etching and deposition technique that enables the fabrication of locally gated graphene nanostructures of arbitrary design. Employing this method, we have fabricated graphene nanoconstrictions with…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Barbaros Özyilmaz , Pablo Jarillo-Herrero , Dmitri Efetov , Philip Kim