Abstract
We study the effects of an external magnetic field on the superconducting properties of a quasi-two-dimensional system of Dirac electrons at an arbitrary temperature. An explicit expression for the superconducting gap is obtained as a function of temperature, magnetic field and coupling parameter ( λ R ) . From this, we extract the B × λ R , T × λ R and B × T phase diagrams. The last one shows a linear decay of the critical field for small values thereof, which is similar to the behavior observed experimentally in the copper doped dichalcogenide Cu x TiSe 2 and also in intercalated graphite. The second one, presents a coupling dependent critical temperature T c that resembles the one observed in high- T c cuprates in the underdoped region and also in Cu x TiSe 2. The first one, exhibits a quantum phase transition connecting a normal and a superconducting phase, occurring at a critical line that corresponds to a magnetic field dependent critical coupling parameter. This should be observed in planar materials containing Dirac electrons, such as Cu x TiSe 2.
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