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Critical level statistics of a quantum Hall system with Dirichlet boundary conditions
Author(s) -
Potempa H.,
Schweitzer L.
Publication year - 1998
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/(sici)1521-3889(199811)7:5/6<457::aid-andp457>3.0.co;2-q
Subject(s) - physics , dirichlet boundary condition , boundary value problem , boundary (topology) , extrapolation , quantum hall effect , mathematical analysis , quantum mechanics , mathematics , magnetic field
We investigate numerically the influence of Dirichlet boundary conditions on the nearest neighbor level spacing distribution P ( s ) of a two‐dimensional disordered tightbinding 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.