https://doi.org/10.1140/epjb/e2004-00250-6
Chebyshev expansion approach to the AC conductivity of the Anderson model
School of Physics, The University of New South Wales,
Sydney NSW 2052, Australia
Corresponding author: a aweisse@phys.unsw.edu.au
Received:
9
March
2004
Revised:
6
June
2004
Published online:
12
August
2004
We propose an advanced Chebyshev expansion method for the
numerical calculation of linear response functions at finite
temperature. Its high stability and the small required resources
allow for a comprehensive study of the optical conductivity
of non-interacting electrons in a random potential
(Anderson model) on large three-dimensional clusters. For low
frequency the data follows the analytically expected power-law
behaviour with an exponent that depends on disorder and has its
minimum near the metal-insulator transition, where also the
extrapolated DC conductivity continuously goes to zero. In view of
the general applicability of the Chebyshev approach we briefly
discuss its formulation for interacting quantum systems.
PACS: 78.20.Bh – Theory, models, and numerical simulation / 72.15.Rn – Localisation effects (Anderson or weak localisation) / 05.60.Gg – Quantum transport
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004
