Interaction induced edge channel equilibration

Details Interaction induced edge channel equilibration Interaction induced edge channel equilibration

2009-10-14

arxiv.org/abs/0910.2476v1

Phys. Rev. B 81, 041311(R) (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 7 figures, includes 5 pages of supplementary information

Scientific paper

10.1103/PhysRevB.81.041311

The electronic distribution functions of two Coulomb coupled chiral edge states forming a quasi-1D system with broken translation invariance are found using the equation of motion approach. We find that relaxation and thereby energy exchange between the two edge states is determined by the shot noise of the edge states generated at a quantum point contact (QPC). In close vicinity to the QPC, we derive analytic expressions for the distribution functions. We further give an iterative procedure with which we can compute numerically the distribution functions arbitrarily far away from the QPC. Our results are compared with recent experiments of Le Sueur et al..

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