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Magnetic oscillations, disorder and the Hofstadter butterfly in finite systems

Abstract:

We present numerical calculations of a tight-binding model applied to a finite square lattice in the presence of a perpendicular magnetic field. The persistent current associated with each eigenstate is calculated, the chirality of which is determined by whether the eigenstate exists within the bulk or localised to the edges of the lattice. This treatment allows us to extract oscillations in the magnetization, which are analogous to de Haas-van Alphen oscillations. We consider the influence o...

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Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Condensed Matter Physics
Role:
Author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Condensed Matter Physics
Role:
Author
Volume:
154
Issue:
1-3
Pages:
265-268
Publication date:
2005-09-22
DOI:
ISSN:
0379-6779
URN:
uuid:73f38b4e-464b-4f64-8254-8cc65b28123f
Source identifiers:
30723
Local pid:
pubs:30723

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