Rectification in Y-junctions of Luttinger liquid wires

Details Rectification in Y-junctions of Luttinger liquid wires Rectification in Y-junctions of Luttinger liquid wires

2010-09-26

arxiv.org/abs/1009.5052v3

Phys.Rev.B83:045302,2011

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

14 pages, 4 figures; The latest version

Scientific paper

10.1103/PhysRevB.83.045302

We investigate rectification of a low-frequency ac bias in Y-junctions of one-channel Luttinger liquid wires with repulsive electron interaction. Rectification emerges due to three scatterers in the wires. We find that it is possible to achieve a higher rectification current in a Y-junction than in a single wire with an asymmetric scatterer at the same interaction strength and voltage bias. The rectification effect is the strongest in the absence of the time-reversal symmetry. In that case, the maximal rectification current can be comparable with the total current $\sim e^2V/h$ even for low voltages, weak scatterers and modest interaction strength. In a certain range of low voltages, the rectification current can grow as the voltage decreases. This leads to a bump in the $I$-$V$ curve.

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