Condensed Matter Seminar - Prof. Tomi Ohtsuki, Sophia University Tokyo, Japan "Simulating Anderson Localization"
While Anderson localization was predicted more than half a century ago,
it remains an active research topic, not only in condensed matter physics, but also
in cold atom physics as well as in optical physics. Anderson localization
is classified in 10 symmetry classes, according to the basic symmetry of
the system such as time reversal symmetry and spin rotation symmetry as
well as discrete symmetries such as particle-hole. The critical phenomena
of the Anderson transition, including the values of critical exponents, are universal.
They do not depend on the details of the system, but only on the universality
classes determined by the dimensionality and the symmetry class.
The actual numerical values of exponents in different universality classes,
however, are rather close to each other. Furthermore, no reliable analytic
methods to calculate them have been developed. In this situation,
high accuracy numerical calculation is needed. We review various methods
such as transfer matrix, conductance scaling, diagonalization using JADAMILU,
equation of method, etc. Special focus is on the symplectic universality class,
where Z2 topological insulator phase occurs under certain conditions.
Location: PCTS Seminar Room
Date/Time: 10/08/12 at 1:15 pm - 10/08/12 at 2:30 pm
Category: Condensed Matter Seminar