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).

Firat Yilmaz discussed about the following paper:

“Quantization of particle transport”

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

Mehmet Günay discussed about:

• On examples and classification of topological materials

References for this discussion are:

• S.Ryu et al arxiv:0912.2157 v2
• M.Sato et al PRB 83 224511(2011)

and examples may be used from

• X.L.Qi et al; Phys. Rev. B 78, 195424 (2008)
• M.Z.Hasan and C.L. Kane; Rev. Mod. Phys. 82, 3045 (2010).

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.

Presented by Sina Gholizadeh …

Presented by Balazes Hetenyi