Random walks and Anderson localization in a three-dimensional class C network model.
We study the disorder-induced localization transition in a three-dimensional network model that belongs to symmetry class C. The model represents quasiparticle dynamics in a gapless spin-singlet superconductor without time-reversal invariance. It is a special feature of network models with this symm...
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| Format: | Journal article |
| Language: | English |
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2009
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| _version_ | 1826266581841215488 |
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| author | Ortuño, M Somoza, A Chalker, J |
| author_facet | Ortuño, M Somoza, A Chalker, J |
| author_sort | Ortuño, M |
| collection | OXFORD |
| description | We study the disorder-induced localization transition in a three-dimensional network model that belongs to symmetry class C. The model represents quasiparticle dynamics in a gapless spin-singlet superconductor without time-reversal invariance. It is a special feature of network models with this symmetry that the conductance and density of states can be expressed as averages in a classical system of dense, interacting random walks. Using this mapping, we present a more precise numerical study of critical behavior at an Anderson transition than has been possible previously in any context. |
| first_indexed | 2024-03-06T20:41:08Z |
| format | Journal article |
| id | oxford-uuid:34530abf-fcf5-49f7-8f04-0af6488afd7e |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:41:08Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:34530abf-fcf5-49f7-8f04-0af6488afd7e2022-03-26T13:25:14ZRandom walks and Anderson localization in a three-dimensional class C network model.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:34530abf-fcf5-49f7-8f04-0af6488afd7eEnglishSymplectic Elements at Oxford2009Ortuño, MSomoza, AChalker, JWe study the disorder-induced localization transition in a three-dimensional network model that belongs to symmetry class C. The model represents quasiparticle dynamics in a gapless spin-singlet superconductor without time-reversal invariance. It is a special feature of network models with this symmetry that the conductance and density of states can be expressed as averages in a classical system of dense, interacting random walks. Using this mapping, we present a more precise numerical study of critical behavior at an Anderson transition than has been possible previously in any context. |
| spellingShingle | Ortuño, M Somoza, A Chalker, J Random walks and Anderson localization in a three-dimensional class C network model. |
| title | Random walks and Anderson localization in a three-dimensional class C network model. |
| title_full | Random walks and Anderson localization in a three-dimensional class C network model. |
| title_fullStr | Random walks and Anderson localization in a three-dimensional class C network model. |
| title_full_unstemmed | Random walks and Anderson localization in a three-dimensional class C network model. |
| title_short | Random walks and Anderson localization in a three-dimensional class C network model. |
| title_sort | random walks and anderson localization in a three dimensional class c network model |
| work_keys_str_mv | AT ortunom randomwalksandandersonlocalizationinathreedimensionalclasscnetworkmodel AT somozaa randomwalksandandersonlocalizationinathreedimensionalclasscnetworkmodel AT chalkerj randomwalksandandersonlocalizationinathreedimensionalclasscnetworkmodel |