Mesoscopic effects in tunneling between parallel quantum wires

Details Mesoscopic effects in tunneling between parallel quantum wires Mesoscopic effects in tunneling between parallel quantum wires

2001-03-18

arxiv.org/abs/cond-mat/0103372v2

Phys. Rev. B 64, 085315 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 7 figures, improved Figs., added Refs. and appendix, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.64.085315

We consider a phase-coherent system of two parallel quantum wires that are coupled via a tunneling barrier of finite length. The usual perturbative treatment of tunneling fails in this case, even in the diffusive limit, once the length L of the coupling region exceeds a characteristic length scale L_t set by tunneling. Exact solution of the scattering problem posed by the extended tunneling barrier allows us to compute tunneling conductances as a function of applied voltage and magnetic field. We take into account charging effects in the quantum wires due to applied voltages and find that these are important for 1D-to-1D tunneling transport.

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