Scaling Theory of Localization (Gang of Four Paper)

Mohammad Yahyavi  discussed about the disorder and localization.

In particular, the discussion was focused on the famous “gang of four” paper:

Scaling theory of localization: absence of quantum diffusion in two dimensions

(Abrahams, Anderson, Licciardello, Ramakrishnan, PRL 42 673 (1979)).


Other relevant references are:

Introduction to Mesoscopic Physics
J. Imry,
(Oxford University Press, New York, 1997)

Disordered electronic systems
Patrick A. Lee and T. V. Ramakrishnan
Rev. Mod. Phys. 57, 287 (1985).

Quantization of particle transport

Firat Yilmaz discussed about the following paper:

“Quantization of particle transport”

D. J. Thouless, Phys. Rev. B, 27 6083 (1983).

Classification of Topological Materials

Mehmet Günay discussed about:

  • On examples and classification of topological materials

References for this discussion are:

and examples may be used from

Group Theory

Prof. Balázs Hetényi discussed about:

  • characters of a representation,
  • the regular representation,
  • prove the theorem relating the dimensionalities of the representations to the order of the group.

Lecture note about Group Theory.

Group Theory

Presented by Sina Gholizadeh …


Berry phase theory of polarization

Presented by Balazes Hetenyi