Diffusion in higher dimensional SYK model with complex fermions
Abstract We construct a new higher dimensional SYK model with complex fermions on bipartite lattices. As an extension of the original zero-dimensional SYK model, we focus on the one-dimension case, and similar Hamiltonian can be obtained in higher dimensions. This model has a conserved U(1) fermion...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2018)076 |
| _version_ | 1818671992354635776 |
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| author | Wenhe Cai Xian-Hui Ge Guo-Hong Yang |
| author_facet | Wenhe Cai Xian-Hui Ge Guo-Hong Yang |
| author_sort | Wenhe Cai |
| collection | DOAJ |
| description | Abstract We construct a new higher dimensional SYK model with complex fermions on bipartite lattices. As an extension of the original zero-dimensional SYK model, we focus on the one-dimension case, and similar Hamiltonian can be obtained in higher dimensions. This model has a conserved U(1) fermion number Q and a conjugate chemical potential μ. We evaluate the thermal and charge diffusion constants via large q expansion at low temperature limit. The results show that the diffusivity depends on the ratio of free Majorana fermions to Majorana fermions with SYK interactions. The transport properties and the butterfly velocity are accordingly calculated at low temperature. The specific heat and the thermal conductivity are proportional to the temperature. The electrical resistivity also has a linear temperature dependence term. |
| first_indexed | 2024-12-17T07:32:49Z |
| format | Article |
| id | doaj.art-e7fd4927ff1448cc82e4fc168700dd3d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T07:32:49Z |
| publishDate | 2018-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e7fd4927ff1448cc82e4fc168700dd3d2022-12-21T21:58:26ZengSpringerOpenJournal of High Energy Physics1029-84792018-01-012018111510.1007/JHEP01(2018)076Diffusion in higher dimensional SYK model with complex fermionsWenhe Cai0Xian-Hui Ge1Guo-Hong Yang2Department of Physics, Shanghai UniversityDepartment of Physics, Shanghai UniversityDepartment of Physics, Shanghai UniversityAbstract We construct a new higher dimensional SYK model with complex fermions on bipartite lattices. As an extension of the original zero-dimensional SYK model, we focus on the one-dimension case, and similar Hamiltonian can be obtained in higher dimensions. This model has a conserved U(1) fermion number Q and a conjugate chemical potential μ. We evaluate the thermal and charge diffusion constants via large q expansion at low temperature limit. The results show that the diffusivity depends on the ratio of free Majorana fermions to Majorana fermions with SYK interactions. The transport properties and the butterfly velocity are accordingly calculated at low temperature. The specific heat and the thermal conductivity are proportional to the temperature. The electrical resistivity also has a linear temperature dependence term.http://link.springer.com/article/10.1007/JHEP01(2018)076AdS-CFT CorrespondenceHolography and condensed matter physics (AdS/CMT) |
| spellingShingle | Wenhe Cai Xian-Hui Ge Guo-Hong Yang Diffusion in higher dimensional SYK model with complex fermions Journal of High Energy Physics AdS-CFT Correspondence Holography and condensed matter physics (AdS/CMT) |
| title | Diffusion in higher dimensional SYK model with complex fermions |
| title_full | Diffusion in higher dimensional SYK model with complex fermions |
| title_fullStr | Diffusion in higher dimensional SYK model with complex fermions |
| title_full_unstemmed | Diffusion in higher dimensional SYK model with complex fermions |
| title_short | Diffusion in higher dimensional SYK model with complex fermions |
| title_sort | diffusion in higher dimensional syk model with complex fermions |
| topic | AdS-CFT Correspondence Holography and condensed matter physics (AdS/CMT) |
| url | http://link.springer.com/article/10.1007/JHEP01(2018)076 |
| work_keys_str_mv | AT wenhecai diffusioninhigherdimensionalsykmodelwithcomplexfermions AT xianhuige diffusioninhigherdimensionalsykmodelwithcomplexfermions AT guohongyang diffusioninhigherdimensionalsykmodelwithcomplexfermions |