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Résumé |
I will present the results of our recent work [3] on equilibration of quantum Hall edge states
at integer filling factors, which was motivated by experiments involving point contacts at finite bias [1,2].
Idealizing the experimental situation and extending the notion of a quantum quench, I will discuss the time
evolution of a non-equilibrium state in a translationally invariant system. It will be shown that electron
interactions bring the system into a steady state at long times, which is, strikingly, not a thermal one.
For filling factor nu=1 I will consider relaxation due to finite-range and Coulomb interactions
between electrons in the same channel, and for filling factor nu=2 I will examine relaxation due
to contact interactions between electrons in different channels. In both cases a long-time asymptotics
of the single-particle correlation function is calculated analytically. Comparison of the results with
experiments [1,2] will be presented.
[1] "Energy Relaxation in the Integer Quantum Hall Regime" H. le Sueur,
C. Altimiras, U. Gennser, A. Cavanna, D. Mailly, F. Pierre, Phys. Rev.
Lett. 105, 056803 (2010).
[2] "Non-equilibrium edge-channel spectroscopy in the integer quantum
Hall regime", C. Altimiras, H. le Sueur, U. Gennser, A. Cavanna,
D. Mailly and F. Pierre, Nature Physics 6, 34 (2009).
[3] "Equilibration of integer quantum Hall edge states",
D.L. Kovrizhin, J.T. Chalker, arXiv:1009.4555
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