Four-terminal resistance of a ballistic quantum wire

Nature
R de PicciottoK W West

Abstract

The electrical resistance of a conductor is intimately related to the relaxation of the momentum of charge carriers. In a simple model, the accelerating force exerted on electrons by an applied electric field is balanced by a frictional force arising from their frequent collisions with obstacles such as impurities, grain boundaries or other deviations from a perfect crystalline order. Thus, in the absence of any scattering, the electrical resistance should vanish altogether. Here, we observe such vanishing four-terminal resistance in a single-mode ballistic quantum wire. This result contrasts the value of the standard two-probe resistance measurements of h/2e2 approximately 13 kOmega. The measurements are conducted in the highly controlled geometry afforded by epitaxial growth onto the cleaved edge of a high-quality GaAs/AlGaAs heterostructure. Two weakly invasive voltage probes are attached to the central section of a ballistic quantum wire to measure the inherent resistance of this clean one-dimensional conductor.

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Citations

Oct 20, 2011·Nano Letters·Kuniharu TakeiAli Javey
Feb 7, 2014·Nature·Jens BaringhausWalt A de Heer
Dec 31, 2005·Physical Review Letters·B GaoA Bachtold
May 23, 2006·Physical Review Letters·Manamohan Prusty, Holger Schanz
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Sep 7, 2019·Physical Review Letters·S U PiatrushaV S Khrapai
Sep 13, 2002·Physical Review Letters·Yaroslav TserkovnyakAmir Yacoby
Oct 10, 2006·Physical Review Letters·S PilgramM Büttiker
Feb 25, 2020·Nano Letters·Daniel VakulovErik P A M Bakkers
Mar 24, 2005·Physical Review Letters·Georg SeeligA V Andreev
Feb 3, 2004·Physical Review Letters·R de PicciottoK W West
Aug 26, 2003·Physical Review Letters·Chr MeyerR Wiesendanger
Oct 9, 2002·Physical Review Letters·S De FranceschiL P Kouwenhoven
Mar 4, 2014·Physical Review Letters·C P SchellerD M Zumbühl
Sep 27, 2007·Langmuir : the ACS Journal of Surfaces and Colloids·Byeongdu LeeQian Wang
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Jun 29, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·F R V AraújoJ M Pereira
Jan 24, 2015·Nano Letters·Elison Matioli, Tomás Palacios
Apr 2, 2005·Science·O M AuslaenderK W West

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