Critical level statistics of a quantum Hall system with Dirichlet boundary conditions

Details Critical level statistics of a quantum Hall system with Dirichlet boundary conditions Critical level statistics of a quantum Hall system with Dirichlet boundary conditions

1998-10-19

arxiv.org/abs/cond-mat/9810223v1

Ann. Phys. (Leipzig) 7 (1998) 457-461

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages LaTeX, 2 ps-figures included. Proceedings of PILS'98, Berlin, Germany 1998; to appear in Annalen der Physik

Scientific paper

10.1002/(SICI)1521-3889(199811)7

We investigate numerically the influence of Dirichlet boundary conditions on the nearest neighbor level spacing distribution $P(s)$ of a two-dimensional disordered tight-binding model in the presence of a strong perpendicular magnetic field. From the calculation of the second moment of $P(s)$ it is shown that for Dirichlet boundary conditions, due to the presence of edge states, the position of the critical energy shifts with increasing system size to the location of the critical energy for periodic boundary conditions. An extrapolation to infinite system size results in different critical (scale independent) $P(s)$ distributions for periodic and Dirichlet boundary conditions.

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