Equilibration of Luttinger liquid and conductance of quantum wires.

Journal Article · Sat Jan 01 00:00:00 EST 2011 · Phys. Rev. Lett.

DOI:https://doi.org/10.1103/PhysRevLett.107.056402· OSTI ID:1024598

Matveev, K A; Andreev, A V ^[1]

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1. Materials Science Division

Luttinger liquid theory describes one-dimensional electron systems in terms of noninteracting bosonic excitations. In this approximation thermal excitations are decoupled from the current flowing through a quantum wire, and the conductance is quantized. We show that relaxation processes not captured by the Luttinger liquid theory lead to equilibration of the excitations with the current and give rise to a temperature-dependent correction to the conductance. In long wires, the magnitude of the correction is expressed in terms of the velocities of bosonic excitations. In shorter wires it is controlled by the relaxation rate.

• Research Organization: Argonne National Lab. (ANL), Argonne, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: DE-AC02-06CH11357
• OSTI ID: 1024598
• Report Number(s): ANL/MSD/JA-68786; TRN: US201119%%491
• Journal Information: Phys. Rev. Lett., Vol. 107, Issue 5 ; 2011
• Country of Publication: United States
• Language: ENGLISH

Related Subjects

77 NANOSCIENCE AND NANOTECHNOLOGY
APPROXIMATIONS
ELECTRONS
QUANTUM WIRES
RELAXATION