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Quantum wires; contact resistance; Luttinger liquids

With a brief introduction to one-dimensional channels and conductance quantization in mesoscopic systems, we discuss some recent experimental puzzles in these systems, which include reduction of quantized conductances and an interesting odd-even effect in the presence of an in-plane magnetic field. We then discuss a recent non-homogeneous Luttinger liquid model proposed by us, which addresses and gives an explanation for the reduced conductances and the odd-even effect. We end with a brief summary and discussion of future projects.

Siddhartha Lal¹ Sumathi Rao^{1 2} Diptiman Sen¹

1. Centre for Theoretical Studies, Indian Institute of Science, Bangalore - 560 012, India
2. Harish-chandra Research Institute, Chhatnag Road, Jhusi, Allahabad - 211 019, India

Published

February 2002