Abstract
We study holographic phase transitions in (2+1) dimensions that possess interacting phases which result from a direct coupling between the two U(1) gauge fields. This can be interpreted as a non-minimal interaction between the electric and spin motive forces of the dual model. We first present a new analytical solution of the Einstein-Maxwell equations that describes a black hole with charge non-equivalent to the sum of the asymptotic charges of the two U(1) gauge fields and briefly discuss formation of uncharged scalar hair on this solution. We then study the formation of charged scalar hair on an uncharged black hole background and discuss the dual description of balanced as well as unbalanced superconductors.
Highlights
As previously mentioned, high temperature superconductivity involves complex and strongly correlated electronic interaction mechanisms. It appears that in these superconducting systems there is the emergence of Phase transitions (PT) associated with different order parameters; for example, we have the emergence of a magnetic order competing with a superconducting order in materials that undergo the ferromagnetic-superconducting transition
We have introduced a new type of interaction between the two order parameters of the model
This interaction can be interpreted as a direct coupling between the electric and spin motive forces acting on the charge carriers
Summary
Conventional superconductors can present these imbalances, there are geometries in non-conventional superconducting materials, such as cuprates, for example, that can favor this configuration In this case, precisely because superconductivity occurs in parallel planes when we apply an external field in the direction of these planes, a perpendicular current appears between the planes that inhibits angular coupling and allows the Zeeman effect to become dominant [13]. As previously mentioned, high temperature superconductivity involves complex and strongly correlated electronic interaction mechanisms It appears that in these superconducting systems there is the emergence of PTs associated with different order parameters; for example, we have the emergence of a magnetic order competing with a superconducting order in materials that undergo the ferromagnetic-superconducting transition. We will do a qualitative analysis of the charged black hole background case first and present a closed form solution
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