Phys. Rev. Lett. 50, 1870–1872 (1983)Localization Problem in One Dimension: Mapping and EscapeReceived 31 January 1983; published in the issue dated 6 June 1983 A one-dimensional Schrödinger equation in a discontinuous quasiperiodic potential is reduced to a recursion relation for transfer matrices and then to one for traces of these matrices. When the potential is periodic, the bandwidth goes to zero as an algebraic function of the period with a critical index which depends upon the potential strength. This critical index is also evaluated as the solution to an escape-rate problem for the recursion relations. © 1983 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.50.1870
DOI:
10.1103/PhysRevLett.50.1870
PACS:
71.55.Jv, 02.10.+w, 71.50.+t
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