Models for the integer quantum Hall effect: the network model, the Dirac equation, and a tight-binding Hamiltonian
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....
| Autores principales: | , |
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| Formato: | Journal article |
| Publicado: |
1996
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| _version_ | 1826261265372151808 |
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| author | Ho, C Chalker, J |
| author_facet | Ho, C Chalker, J |
| author_sort | Ho, C |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T19:18:48Z |
| format | Journal article |
| id | oxford-uuid:1958aefd-3146-49b2-95a1-ac6614a5b3fc |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:18:48Z |
| publishDate | 1996 |
| record_format | dspace |
| spelling | oxford-uuid:1958aefd-3146-49b2-95a1-ac6614a5b3fc2022-03-26T10:48:29ZModels for the integer quantum Hall effect: the network model, the Dirac equation, and a tight-binding HamiltonianJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1958aefd-3146-49b2-95a1-ac6614a5b3fcSymplectic Elements at Oxford1996Ho, CChalker, JWe 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. |
| spellingShingle | Ho, C Chalker, J Models for the integer quantum Hall effect: the network model, the Dirac equation, and a tight-binding Hamiltonian |
| title | Models for the integer quantum Hall effect: the network model, the Dirac
equation, and a tight-binding Hamiltonian |
| title_full | Models for the integer quantum Hall effect: the network model, the Dirac
equation, and a tight-binding Hamiltonian |
| title_fullStr | Models for the integer quantum Hall effect: the network model, the Dirac
equation, and a tight-binding Hamiltonian |
| title_full_unstemmed | Models for the integer quantum Hall effect: the network model, the Dirac
equation, and a tight-binding Hamiltonian |
| title_short | Models for the integer quantum Hall effect: the network model, the Dirac
equation, and a tight-binding Hamiltonian |
| title_sort | models for the integer quantum hall effect the network model the dirac equation and a tight binding hamiltonian |
| work_keys_str_mv | AT hoc modelsfortheintegerquantumhalleffectthenetworkmodelthediracequationandatightbindinghamiltonian AT chalkerj modelsfortheintegerquantumhalleffectthenetworkmodelthediracequationandatightbindinghamiltonian |