Interaction induced edge channel equilibration
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Interaction induced edge channel equilibration
DIPC Seminars
- Speaker
-
Dr. Anders Mathias Lunde, ICMM CSIC, Madrid, Spain
- When
-
2010/06/18
14:00
- Place
- Donostia International Physics Center (DIPC).Paseo Manuel de Lardizabal, 4 (nearby the Facultad de Quimica), Donostia
- Add to calendar
-
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Two decades ago, edge states in integer quantum hall systems were demonstrated
to be a physical reality by creating a non-equilibrium population through
selective injection and detection of carriers in different states along the
same edge. Now in a series of novel experiments the group of F. Pierre has
investigated the non-equilibrium distribution function in an edge state as it
evolves along a channel away from a quantum point contact at which it is
initially created. In the work presented here, we discuss the electronic
distribution functions of two Coulomb coupled chiral edge states. They form a
quasi-1D system with broken translation invariance and the distribution
function is 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. In close vicinity to the quantum point contact, 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 quantum point contact. Our results are compared
with the recent experiments by F. Pierre et al.
Reference: A. M. Lunde, S. E. Nigg, M. Buttiker, Phys. Rev. B 81, 041311(R)
(2010).