Conductance of a quantum wire at low electron density
Friday October 14, 2005
Konstantin Matveev
Argonne National Laboratory
I will discuss the effect of strong 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 2e2/h. At T >> J the spin
effect reduces the conductance to e2/h.