Conductance of a quantum wire in the Wigner crystal regime

Details Conductance of a quantum wire in the Wigner crystal regime Conductance of a quantum wire in the Wigner crystal regime

2003-10-10

arxiv.org/abs/cond-mat/0310261v1

Phys. Rev. Lett. 92, 106801 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1103/PhysRevLett.92.106801

We study the effect of Coulomb interactions on the conductance of a single-mode quantum wire connecting two bulk leads. When the density of electrons in the wire is very low, they arrange in a finite-length Wigner crystal. In this regime the electron spins form an antiferromagnetic Heisenberg chain with exponentially small coupling J. An electric current in the wire perturbs the spin chain and gives rise to a temperature-dependent contribution of the spin subsystem to the resistance. At low temperature T << J this effect is small, and the conductance of the wire remains close to 2e^2/h. At T >> J the spin effect reduces the conductance to e^2/h.

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