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Extra resources for Statistical and dynamical aspects of mesoscopic systems
Before introducing the kicked Harper model formally, let us recall some facts about the Harper model. It was ﬁrst derived to describe electrons moving in a two-dimensional periodic potential, so-called Bloch electrons, in a magnetic ﬁeld directed perpendicularly to the potential plane [16,17]. Its Hamiltonian is discrete and reads H= n V cos (2πσn + ν) a†n an + a†n+1 an + a†n−1 an , (1) where V is the potential strength, σ a measure of the magnetic ﬂux, ν a phase, and a†n , an are the creation and annihilation operators at site n.
24) Note that Kondo conductance (24) in the strongly asymmetric set-up is signiﬁcantly smaller than the conductance quantum e2 /h even at T = 0. The maximal value of GK is substantially increased, if the asymmetry between the junctions is reduced, and the condition GL e2 /h is lifted. To show this, we further generalize the above results to include the experimentally important case |rR | |rL | 1. Like in the case of a single strong junction considered above, the backscattering in the junctions becomes increasingly eﬀective at low electron energies.
H. Blick et al. , (1998), Phys. Rev. Lett. G. , (1998), J. Appl. Phys. , cond-mat/9904382. , (1997), Phys. Rev. , (1996), Appl. Phys. Lett. , (1961), Phys. Rev. , (1989), Phys. Rev. Lett. , (1990), Phys. Rev. Lett. , (1996), Phys. Rev. Lett. , (1990), Phys. Rev. , (1995), Phys. Rev. Lett. , (1993), Phys. Rev. Lett. , (1998) Appl. Phys. Lett. , (1999), Superlattices and Microstructures 25, 785 Quantum Chaos and Spectral Transitions in the Kicked Harper Model Karsten Kruse, Roland Ketzmerick, and Theo Geisel Max-Planck-Institut f¨ ur Str¨ omungsforschung und Fakult¨ at Physik der Universit¨ at G¨ ottingen, Bunsenstraße 10, D-37073 G¨ ottingen, Germany Abstract.