#### 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

**Department: **Physics