Universality of DC electrical conductivity from holography
We propose a universal formula of dc electrical conductivity in rotational- and translational-symmetries breaking systems via the holographic duality. This formula states that the ratio of the determinant of the dc electrical conductivities along any spatial directions to the black hole area density...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-04-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317300746 |
| _version_ | 1817998016207912960 |
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| author | Xian-Hui Ge Sang-Jin Sin Shao-Feng Wu |
| author_facet | Xian-Hui Ge Sang-Jin Sin Shao-Feng Wu |
| author_sort | Xian-Hui Ge |
| collection | DOAJ |
| description | We propose a universal formula of dc electrical conductivity in rotational- and translational-symmetries breaking systems via the holographic duality. This formula states that the ratio of the determinant of the dc electrical conductivities along any spatial directions to the black hole area density in zero-charge limit has a universal value. As explicit illustrations, we give several examples elucidating the validation of this formula: We construct an anisotropic black brane solution, which yields linear in temperature for the in-plane resistivity and insulating behavior for the out-of-plane resistivity; We also construct a spatially isotropic black brane solution that both the linear-T and quadratic-T contributions to the resistivity can be realized. |
| first_indexed | 2024-04-14T02:46:56Z |
| format | Article |
| id | doaj.art-6a826ce9613948c9a09e6376b8c314b2 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-04-14T02:46:56Z |
| publishDate | 2017-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-6a826ce9613948c9a09e6376b8c314b22022-12-22T02:16:29ZengElsevierPhysics Letters B0370-26931873-24452017-04-01767C636810.1016/j.physletb.2017.01.056Universality of DC electrical conductivity from holographyXian-Hui Ge0Sang-Jin Sin1Shao-Feng Wu2Shanghai Key Laboratory of High Temperature Superconductors, Department of Physics, Shanghai University, Shanghai, 200444, ChinaDepartment of Physics, Hanyang University, Seoul 133-791, Republic of KoreaDepartment of Physics, Shanghai University, Shanghai, 200444, ChinaWe propose a universal formula of dc electrical conductivity in rotational- and translational-symmetries breaking systems via the holographic duality. This formula states that the ratio of the determinant of the dc electrical conductivities along any spatial directions to the black hole area density in zero-charge limit has a universal value. As explicit illustrations, we give several examples elucidating the validation of this formula: We construct an anisotropic black brane solution, which yields linear in temperature for the in-plane resistivity and insulating behavior for the out-of-plane resistivity; We also construct a spatially isotropic black brane solution that both the linear-T and quadratic-T contributions to the resistivity can be realized.http://www.sciencedirect.com/science/article/pii/S0370269317300746 |
| spellingShingle | Xian-Hui Ge Sang-Jin Sin Shao-Feng Wu Universality of DC electrical conductivity from holography Physics Letters B |
| title | Universality of DC electrical conductivity from holography |
| title_full | Universality of DC electrical conductivity from holography |
| title_fullStr | Universality of DC electrical conductivity from holography |
| title_full_unstemmed | Universality of DC electrical conductivity from holography |
| title_short | Universality of DC electrical conductivity from holography |
| title_sort | universality of dc electrical conductivity from holography |
| url | http://www.sciencedirect.com/science/article/pii/S0370269317300746 |
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