2014/10/26 by Hong Guo, Guo, Hong, Fu-Wen Shu +8
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1410.7020
21 pages, 6 figures. One subsection added, typos corrected, references added. arXiv admin note: substantial text overlap with arXiv:1311.6260, arXiv:1209.4272, arXiv:1007.4151 by other authors
openalex publication_date 2014/10/26 · arxiv created 2015/02/03 · arxiv updated 2015/02/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study analytically the d-wave holographic superconductors with Lifshitz scaling in the presence of external magnetic field. The vortex lattice solutions of the model have also been obtained with different Lifshitz scaling. Our results imply that holographic d-wave superconductor is indeed a type II one even for different Lifshitz scaling. This is the same as the conventional d-wave superconductors in the Ginzburg-Landau theory. Our results also indicate that the dynamical exponent z has no effect to the shape of the vortex lattice even after higher order corrections (away from the phase transition point Bc) are included. However, it has effects on the upper critical magnetic field Bc2 through the fact that a larger z results in a smaller Bc2 and therefore influences the size (characterized by r0≡ 1/√Bc2) of the vortex lattices. Furthermore, close comparisons between our results and those of the Ginzburg-Landau theory reveal the fact that the upper critical magnetic field Bc2 is inversely proportional to the square of the superconducting coherence length ξ, regardless of the anisotropy between space and time.