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Models for the integer quantum Hall effect: the network model, the Dirac equation, and a tight-binding Hamiltonian

Abstract:
We consider models for the plateau transition in the integer quantum Hall effect. Starting from the network model, we construct a mapping to the Dirac Hamiltonian in two dimensions. In the general case, the Dirac Hamiltonian has randomness in the mass, the scalar potential, and the vector potential. Separately, we show that the network model can also be associated with a nearest neighbour, tight-binding Hamiltonian.
Publication status:
Published

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Publisher copy:
10.1103/PhysRevB.54.8708

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author


Journal:
Phys. Rev. B More from this journal
Volume:
54
Issue:
12
Pages:
8708
Publication date:
1996-05-13
DOI:
EISSN:
1095-3795
ISSN:
0163-1829


Keywords:
Pubs id:
pubs:9694
UUID:
uuid:1958aefd-3146-49b2-95a1-ac6614a5b3fc
Local pid:
pubs:9694
Source identifiers:
9694
Deposit date:
2012-12-19
ARK identifier:

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