Revival of electron coherence in a finite-length quantum wire

Details Revival of electron coherence in a finite-length quantum wire Revival of electron coherence in a finite-length quantum wire

2009-01-17

arxiv.org/abs/0901.2625v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+ pages, 3 figures, to appear in Physical Review Letters

Scientific paper

We study the spatial decay of electron coherence due to electron-electron interaction in a finite-length disorder-free quantum wire. Based on the Luttinger liquid theory, we demonstrate that the coherence length characterizing the exponential decay of the coherence can vary from region to region, and that the coherence can even revive after the decay. This counterintuitive behavior, which is in clear contrast to the conventional exponential decay with single coherence length, is due to the fractionalization of an electron and the finite-size-induced recombination of the fractions.

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