Holographic Lifshitz superconductors with six derivative correction

We numerically realize the holographic s-wave conductor/superconductor model in the four-dimensional Lifshitz black hole with six derivative (SD) correction, and mainly study the influences of the Lifshitz parameter z as well as the SD parameter gamma on the superconductor model. The results show that the increasing z inhibits the superconductor phase transition for large enough gamma but enhances the phase transition for small enough gamma. Meanwhile, the larger gamma enhances the superconductor phase transition for small enough z(such as z = 1, 6/5), but inhibits the phase transition for large enough z, for example, z = 8/5. Furthermore, for fixed gamma , there exists a pronounced peak increasing with the improving z. However, for fixed z, the pronounced peak and the energy gap become weaker and weaker with the increasing gamma. In addition, with the increasing z, the energy gap decreases for small enough gamma but increases for large enough gamma, which agrees well with the phase diagram of the critical temperature. (C) 2019 The Author(s). Published by Elsevier B.V.