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Автор Anders Kristoffersen
Автор Kåre Olaussen
Дата выпуска 1997-12-08
dc.description We consider a model for 2D electrons in a very strong magnetic field (i.e. projected onto a single Landau level) and a random potential V. The computation of the averaged Green function for this system reduces to calculating the averaged density of states. We have constructed a computer algebra program which automatically generates a perturbation expansion in V for these quantities. This is equivalent to computing moments of the density of states. When V is a sum of Gaussians from Poisson distributed impurities, each term in the perturbation expansion can be evaluated automatically. We have done so up to the 12th order. The resulting information can be used to reconstruct the density of states to good precision.
Формат application.pdf
Издатель Institute of Physics Publishing
Название The averaged Green function and density of states for electrons in a high magnetic field and random potential
Тип paper
DOI 10.1088/0953-8984/9/49/003
Electronic ISSN 1361-648X
Print ISSN 0953-8984
Журнал Journal of Physics: Condensed Matter
Том 9
Первая страница 10801
Последняя страница 10827
Аффилиация Anders Kristoffersen; Institutt for Fysikk, NTNU, N-7034 Trondheim, Norway
Аффилиация Kåre Olaussen; Institutt for Fysikk, NTNU, N-7034 Trondheim, Norway
Выпуск 49

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