Theory of momentum resolved tunneling into a short quantum wire

Details Theory of momentum resolved tunneling into a short quantum wire Theory of momentum resolved tunneling into a short quantum wire

2005-01-27

arxiv.org/abs/cond-mat/0501684v2

Phys. Rev. B 72, 045315 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

19 pages, 13 figures, clarified text in a few points, added 1 figure, updated references

Scientific paper

10.1103/PhysRevB.72.045315

Motivated by recent tunneling experiments in the parallel wire geometry, we calculate results for momentum resolved tunneling into a short one-dimensional wire, containing a small number of electrons. We derive some general theorems about the momentum dependence, and we carry out exact calculations for up to N=4 electrons in the final state, for a system with screened Coulomb interactions that models the situation of the experiments. We also investigate the limit of large $N$ using a Luttinger-liquid type analysis. We consider the low-density regime, where the system is close to the Wigner crystal limit, and where the energy scale for spin excitations can be much lower than for charge excitations, and we consider temperatures intermediate between the relevant spin energies and charge excitations, as well as temperatures below both energy scales.

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