Abstract
We study holographic superconductor model with two scalar fields coupled to one single Maxwell field in the AdS soliton background away from the probe limit. We disclose properties of phase transitions mostly from the holographic topological entanglement entropy approach. With different sets of parameters, we observe various types of transitions, especially a new first order phase transition between the condensation of different order parameters in the insulator/superconductor system. Our results show that the entanglement entropy is a good probe to critical phase transition points and the order of phase transitions in the two-order model. We also conclude that the entanglement entropy is useful to some extent in determining the physically supported phases. In addition, we investigate properties of the condensation through the scalar operator and the charge density in the dual theory. As a summary, we draw the complete phase diagram of the effects of the scalar charge on phase transitions. At last, we give some qualitative understanding and obtain the analytical condition for the first order phase transition to occur.
Highlights
The AdS/conformal field theories (CFTs) correspondence provides us a novel approach to holographically study strongly interacting system in condensed matter physics where conventional calculational methods fail
We are interested in the general holographic superconductor model dual to the bulk theory with two scalar fields coupled to one single Maxwell field in the background of five dimensional AdS soliton
We explored properties of holographic insulator/superconductor transitions with two orders in the five dimensional AdS soliton background beyond the probe limit
Summary
The AdS/CFT correspondence provides us a novel approach to holographically study strongly interacting system in condensed matter physics where conventional calculational methods fail. Superfluid, stripes and metamagnetic phases may compete at low temperature when including large magnetic field in AdS black hole background [50] On another side, due to the essential difference between the AdS black hole and AdS soliton, the holographic insulator/superconductor transition with two scalar fields was firstly studied in the four dimensional AdS soliton geometry in the probe limit [51]. The authors provided an elegant approach to holographically calculate the holographic entanglement entropy of a strongly interacting system on the boundary from a weakly coupled gravity dual in the bulk [54, 55] In this way, the holographic entanglement entropy has recently been applied to disclose properties of phase transitions in various holographic superconductor models [56]-[75].
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