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Additional info for Statistical and dynamical aspects of mesoscopic systems
77, 131 (1996); M. Potthoﬀ, T. Wegner and V. Nolting, Phys. Rev. B 55, 16132 (1997). I. I. Katsnelson, Phys. Rev. B 57, 6884 (1998).  R. Lopez et al. Phys. Rev. Lett. 81, 4688 (1998).  A. Levy Yeyati, F. Flores and A. Mart´ın-Rodero, Phys. Rev. Lett. 83, 600 (1999).  B. Bell and A. Madhukar, Phys. rev. B 14, 4281 (1976).  J. Hubbard, Proc. Roy. Soc. A 276, 238 (1963). M. C. Ward, Phys. Rev. 118, 1417 (1960). C. Langreth, Phys. Rev. 150, 516 (1966).  Y. S. Wingreen, Phys. Rev.
Therefore, the eigenfunctions are of the form φ(x) = eiθx x uθx (x) with uθx (x + 2π) = uθx (x) and U can be represented as an inﬁnite matrix depending on the Bloch phase θx . This phase corresponds to the phase ν in the Harper Hamiltonian (1) and will be ﬁxed to be zero in the following. We have stated already in section 1 that for K, L → 0 with K/L = const. the spectrum of the KHM is given by the Harper spectrum. Concerning the properties (i)-(iii) it is already clear from the analysis in the preceding section that they could all be due to avoided band crossings.
12] J. Hubbard, Proc. Roy. Soc. A 276, 238 (1963). M. C. Ward, Phys. Rev. 118, 1417 (1960). C. Langreth, Phys. Rev. 150, 516 (1966).  Y. S. Wingreen, Phys. Rev. Lett. 68, 2512 (1992).  J. Schmid, J. Weis, K. Ederl and K. v. Klitzing, Physica B 256-258, 182 (1998). H. W. Holleitner1 , H. Qin1 , F. V. Ustinov2 , K. P. Kotthaus1 1 2 3 Center for NanoScience and Sektion Physik, Ludwig-Maximilians-Universit¨ at, Geschwister-Scholl-Platz 1, 80539 M¨ unchen, Germany. Physikalisches Institut III, Universit¨ at Erlangen-N¨ urnberg, Erwin-Rommel-Str.