Use of the trace map for evaluating localization properties
Por:
Naumis G.
Publicada:
1 ene 1999
Resumen:
The use of Lyapunov exponents for evaluating localization lengths of wave functions in one-dimensional lattices is discussed. As a result, it is shown that it is more practical to calculate this length by using the scaling properties of the trace map of the transfer matrix. This leads to a relationship between localization and the fixed points of the map, which is considered as a dynamical system. The localization length is then defined by a Lyapunov exponent, used in the sense of chaos theory. All these results are discussed for periodic, disordered, and quasiperiodic chains. In particular, the Fibonacci quasiperiodic chain is studied in detail. © 1999 The American Physical Society.
Filiaciones:
Naumis G.:
Instituto de Física, Universidad Nacional Autónoma de México (UNAM), Apartado Postal 20-364, Federal Distrito, 01000, Mexico
|