Effects of a Magnetic Field on Superconductivity and Quantum Criticality in Quasi-Two-Dimensional Systems with Dirac Electrons

Abstract

We study the effects of an external magnetic field on thensuperconducting phase diagram of a quasi-two-dimensional system of Dirac electrons at an arbitrary temperature. At zero temperature, there is 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, which should be observed in planar materials containing Dirac electrons, such as $C{u}_{x}TiS{e}_2$. Moreover, the superconducting gap is obtained as a function of temperature, magnetic field and coupling parameter (${\lambda }_{\mathrm{R}}$). From this, we extract the critical magnetic field $B_c$ as a function of the temperature. For small values of $B_c$, we obtain a linear decay of the critical field, which is similar to the behavior observed experimentally in the copper doped dichalcogenide $C{u}_{x}TiS{e}_2$ and also in intercalated graphite.

arXiv commentarXiv admin note: substantial text overlap with arXiv:cond-mat/0703184

References in corpus (24)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Electronic Properties of Disordered Two-Dimensional Carbon
• Superconductivity in Cu_xTiSe_2
• Superconductivity in the Intercalated Graphite Compounds C6Yb and C6Ca
• Electronic states and Landau levels in graphene stacks
• Disorder Induced Localized States in Graphene
• CDW, Superconductivity and Anomalous Metallic Behavior in 2D Transition Metal Dichalcogenides
• Superconductivity of bulk CaC6
• Conductance quantization in mesoscopic graphene
• Impurity-Induced Quasiparticle Transport and Universal Limit Wiedemann-Franz Violation in d-Wave Superconductors
• Electron-electron interactions in graphene sheets
• Algebraic Fermi liquid from phase fluctuations: "topological" fermions, vortex "berryons" and QED3 theory of cuprate superconductors
• Electron-electron interactions and the phase diagram of a graphene bilayer
• Edge and Surface States in the Quantum Hall Effect in Graphene
• Dirac Fermion Confinement in Graphene
• Quasiparticles in the vortex lattice of unconventional superconductors: Bloch waves or Landau levels?
• Correlation Effects in Carbon Nanotubes
• Antiferromagnetism from phase disordering of a d-wave superconductor
• Nodal liquid and s-wave superconductivity in transition metal dichalcogenides
• Electronic Properties of Two-Dimensional Carbon
• Magnetic Field Induced Gap and Kink Behavior of Thermal Conductivity
• Magnetic Field Effects on the Superconducting and Quantum Critical Properties of Layered Systems with Dirac Electrons
• Electromagnetic Response of Layered Superconductors with Broken Lattice Inversion Symmetry