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Possible mechanism of the fractional-conductance quantization in a one-dimensional constriction

1999/10/26 by V. V. Flambaum, M. Yu. Kuchiev · 1 citation
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Quantum and electron transport phenomena #Surface and Thin Film Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.61.r7869

8 pages, Revtex

arxiv created 1999/10/26 · openalex publication_date 2000/03/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

As is well known, there may arise situations when an interaction between electrons is attractive. A weak attraction should manifest itself strongly in one-dimensional (1D) systems, since it can create two-electron bound states. This paper interprets the 0.7 (2e2/h) conductance structure, observed recently in a one-dimensional constriction, as a manifestation of two-electron bound states formed in a barrier saddle point. The value 0.75 (2e2/h) follows naturally from the 3:1 triplet-singlet statistical weight ratio for the two-electron bound states, if the triplet energy is lower. Furthermore, the value 0.75 has to be multiplied by the probability T of the bound state formation during adiabatic transmission of two electrons into the 1D channel (T\ensuremath≃1). If the binding energy is larger than the subband energy spacing, the 0.7 structure can be seen even when the integer steps are smeared away by the temperature. Bound states of several electrons, if they exist, may give different steps at 1/2, 5/16, 3/16 etc., in the conductance. The latter results are sensitive to the length of the 1D system and the electron density at the barrier.

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