Magnetic Field Effects on the Superconducting and Quantum Critical Properties of Layered Systems with Dirac Electrons

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 (${\lambda }_{\mathrm{R}}$). From this, we extract the $B\times {\lambda }_{\mathrm{R}}$, $T\times {\lambda }_{\mathrm{R}}$ and $B\times T$ 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 $C{u}_{x}TiS{e}_2$ 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 $C{u}_{x}TiS{e}_2$. 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 $C{u}_{x}TiS{e}_2$.

arXiv commentTo appear in Nuclear Physics B [FS]

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Cited by in corpus (10)

• BCS superconductivity of Dirac electrons in graphene layers
• Collective modes and Kosterlitz-Thouless transition in a magnetic field in the planar Nambu--Jona-Lasino model
• Possible high-temperature superconductivity in multilayer graphane: can the cuprates be beaten?
• Supercurrent in superconducting graphene
• Asymmetric superconductivity in metallic systems
• Superconductivity phenomenon induced by external in-plane magnetic field in (2+1)-dimensional Gross--Neveu type model
• Superconductivity in graphene stacks: from the bilayer to graphite
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Determination of Gap Solution and Critical Temperature in Doped Graphene Superconductivity
• Effects of a Magnetic Field on Superconductivity and Quantum Criticality in Quasi-Two-Dimensional Systems with Dirac Electrons