Holographic conductivity for logarithmic charged dilaton-Lifshitz solutions
We disclose the effects of the logarithmic nonlinear electrodynamics on the holographic conductivity of Lifshitz dilaton black holes/branes. We analyze thermodynamics of these solutions as a necessary requirement for applying gauge/gravity duality, by calculating conserved and thermodynamic quantiti...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2016-07-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269316301411 |
| _version_ | 1818912239547056128 |
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| author | A. Dehyadegari A. Sheykhi M. Kord Zangeneh |
| author_facet | A. Dehyadegari A. Sheykhi M. Kord Zangeneh |
| author_sort | A. Dehyadegari |
| collection | DOAJ |
| description | We disclose the effects of the logarithmic nonlinear electrodynamics on the holographic conductivity of Lifshitz dilaton black holes/branes. We analyze thermodynamics of these solutions as a necessary requirement for applying gauge/gravity duality, by calculating conserved and thermodynamic quantities such as the temperature, entropy, electric potential and mass of the black holes/branes. We calculate the holographic conductivity for a (2+1)-dimensional brane boundary and study its behavior in terms of the frequency per temperature. Interestingly enough, we find out that, in contrast to the Lifshitz–Maxwell-dilaton black branes which have conductivity for all z, here in the presence of nonlinear gauge field, the holographic conductivity does exist provided z≤3 and vanishes for z>3. It is shown that independent of the nonlinear parameter β, the real part of the conductivity is the same for a specific value of frequency per temperature in both AdS and Lifshitz cases. Besides, the behavior of real part of conductivity for large frequencies has a positive slope with respect to large frequencies for a system with Lifshitz symmetry whereas it tends to a constant for a system with AdS symmetry. This behavior may be interpreted as existence of an additional charge carrier rather than the AdS case, and is due to the presence of the scalar dilaton field in model. Similar behavior for optical conductivity of single-layer graphene induced by mild oxygen plasma exposure has been reported. |
| first_indexed | 2024-12-19T23:11:26Z |
| format | Article |
| id | doaj.art-31f362ae7a2b4cd1b3d4f01f23d9a96c |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-19T23:11:26Z |
| publishDate | 2016-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-31f362ae7a2b4cd1b3d4f01f23d9a96c2022-12-21T20:02:13ZengElsevierPhysics Letters B0370-26931873-24452016-07-01758C22623410.1016/j.physletb.2016.04.062Holographic conductivity for logarithmic charged dilaton-Lifshitz solutionsA. Dehyadegari0A. Sheykhi1M. Kord Zangeneh2Physics Department and Biruni Observatory, Shiraz University, Shiraz 71454, IranPhysics Department and Biruni Observatory, Shiraz University, Shiraz 71454, IranPhysics Department and Biruni Observatory, Shiraz University, Shiraz 71454, IranWe disclose the effects of the logarithmic nonlinear electrodynamics on the holographic conductivity of Lifshitz dilaton black holes/branes. We analyze thermodynamics of these solutions as a necessary requirement for applying gauge/gravity duality, by calculating conserved and thermodynamic quantities such as the temperature, entropy, electric potential and mass of the black holes/branes. We calculate the holographic conductivity for a (2+1)-dimensional brane boundary and study its behavior in terms of the frequency per temperature. Interestingly enough, we find out that, in contrast to the Lifshitz–Maxwell-dilaton black branes which have conductivity for all z, here in the presence of nonlinear gauge field, the holographic conductivity does exist provided z≤3 and vanishes for z>3. It is shown that independent of the nonlinear parameter β, the real part of the conductivity is the same for a specific value of frequency per temperature in both AdS and Lifshitz cases. Besides, the behavior of real part of conductivity for large frequencies has a positive slope with respect to large frequencies for a system with Lifshitz symmetry whereas it tends to a constant for a system with AdS symmetry. This behavior may be interpreted as existence of an additional charge carrier rather than the AdS case, and is due to the presence of the scalar dilaton field in model. Similar behavior for optical conductivity of single-layer graphene induced by mild oxygen plasma exposure has been reported.http://www.sciencedirect.com/science/article/pii/S0370269316301411 |
| spellingShingle | A. Dehyadegari A. Sheykhi M. Kord Zangeneh Holographic conductivity for logarithmic charged dilaton-Lifshitz solutions Physics Letters B |
| title | Holographic conductivity for logarithmic charged dilaton-Lifshitz solutions |
| title_full | Holographic conductivity for logarithmic charged dilaton-Lifshitz solutions |
| title_fullStr | Holographic conductivity for logarithmic charged dilaton-Lifshitz solutions |
| title_full_unstemmed | Holographic conductivity for logarithmic charged dilaton-Lifshitz solutions |
| title_short | Holographic conductivity for logarithmic charged dilaton-Lifshitz solutions |
| title_sort | holographic conductivity for logarithmic charged dilaton lifshitz solutions |
| url | http://www.sciencedirect.com/science/article/pii/S0370269316301411 |
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