Disordered Electrons in a Strong Magnetic Field: Transfer Matrix Approaches to the Statistics of the Local Density of States

Дата и время публикации : 1996-01-31T15:35:58Z

Авторы публикации и институты :
Axel Dohmen (Institut für Theoretische Physik, Köln, Germany)
Peter Freche (Institut für Theoretische Physik, Köln, Germany)
Martin Janssen (Institut für Theoretische Physik, Köln, Germany)

Ссылка на журнал-издание: Phys. Rev. Lett. 76, 4207 (1996)
Коментарии к cтатье: 4 pages, 3 Postscript figures, corrected scale in Fig.1
Первичная категория: cond-mat

Все категории : cond-mat

Краткий обзор статьи: We present two novel approaches to establish the local density of states as an order parameter field for the Anderson transition problem. We first demonstrate for 2D quantum Hall systems the validity of conformal scaling relations which are characteristic of order parameter fields. Second we show the equivalence between the critical statistics of eigenvectors of the Hamiltonian and of the transfer matrix, respectively. Based on this equivalence we obtain the order parameter exponent $alpha_0approx 3.4$ for 3D quantum Hall systems.

Category: Physics