Spin quantum Hall effect and plateau transitions in multilayer network models
We study the spin quantum Hall effect and transitions between Hall plateaus in quasi two-dimensional network models consisting of several coupled layers. Systems exhibiting the spin quantum Hall effect belong to class C in the symmetry classification for Anderson localisation, and for network models...
| Үндсэн зохиолчид: | , , |
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| Формат: | Journal article |
| Хэл сонгох: | English |
| Хэвлэсэн: |
2011
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| _version_ | 1826303430396739584 |
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| author | Chalker, J Ortuño, M Somoza, A |
| author_facet | Chalker, J Ortuño, M Somoza, A |
| author_sort | Chalker, J |
| collection | OXFORD |
| description | We study the spin quantum Hall effect and transitions between Hall plateaus in quasi two-dimensional network models consisting of several coupled layers. Systems exhibiting the spin quantum Hall effect belong to class C in the symmetry classification for Anderson localisation, and for network models in this class there is an established mapping between the quantum problem and a classical one involving random walks. This mapping permits numerical studies of plateau transitions in much larger samples than for other symmetry classes, and we use it to examine localisation in systems consisting of $n$ weakly coupled layers. Standard scaling ideas lead one to expect $n$ distinct plateau transitions, but in the case of the unitary symmetry class this conclusion has been questioned. Focussing on a two-layer model, we demonstrate that there are two separate plateau transitions, with the same critical properties as in a single-layer model, even for very weak interlayer coupling. |
| first_indexed | 2024-03-07T06:02:34Z |
| format | Journal article |
| id | oxford-uuid:ecb818ab-a764-4d9a-833f-cdce83420b4f |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:02:34Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:ecb818ab-a764-4d9a-833f-cdce83420b4f2022-03-27T11:19:35ZSpin quantum Hall effect and plateau transitions in multilayer network modelsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ecb818ab-a764-4d9a-833f-cdce83420b4fEnglishSymplectic Elements at Oxford2011Chalker, JOrtuño, MSomoza, AWe study the spin quantum Hall effect and transitions between Hall plateaus in quasi two-dimensional network models consisting of several coupled layers. Systems exhibiting the spin quantum Hall effect belong to class C in the symmetry classification for Anderson localisation, and for network models in this class there is an established mapping between the quantum problem and a classical one involving random walks. This mapping permits numerical studies of plateau transitions in much larger samples than for other symmetry classes, and we use it to examine localisation in systems consisting of $n$ weakly coupled layers. Standard scaling ideas lead one to expect $n$ distinct plateau transitions, but in the case of the unitary symmetry class this conclusion has been questioned. Focussing on a two-layer model, we demonstrate that there are two separate plateau transitions, with the same critical properties as in a single-layer model, even for very weak interlayer coupling. |
| spellingShingle | Chalker, J Ortuño, M Somoza, A Spin quantum Hall effect and plateau transitions in multilayer network models |
| title | Spin quantum Hall effect and plateau transitions in multilayer network
models |
| title_full | Spin quantum Hall effect and plateau transitions in multilayer network
models |
| title_fullStr | Spin quantum Hall effect and plateau transitions in multilayer network
models |
| title_full_unstemmed | Spin quantum Hall effect and plateau transitions in multilayer network
models |
| title_short | Spin quantum Hall effect and plateau transitions in multilayer network
models |
| title_sort | spin quantum hall effect and plateau transitions in multilayer network models |
| work_keys_str_mv | AT chalkerj spinquantumhalleffectandplateautransitionsinmultilayernetworkmodels AT ortunom spinquantumhalleffectandplateautransitionsinmultilayernetworkmodels AT somozaa spinquantumhalleffectandplateautransitionsinmultilayernetworkmodels |