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

dc.creatorMarino, E. C.
dc.creatorNunes, Lizardo H. C. M.
dc.date2007-03-07
dc.date.accessioned2026-07-07T11:57:35Z
dc.date.available2026-07-07T11:57:35Z
dc.descriptionWe 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 ($λ_{\rm R}$). From this, we extract the $B \times λ_{\rm R}$, $T\times λ_{\rm R}$ 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 $Cu_xTiSe_2$ 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 $Cu_xTiSe_2$. 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 $Cu_xTiSe_2$.
dc.descriptionTo appear in Nuclear Physics B [FS]
dc.identifierhttps://arxiv.org/abs/cond-mat/0703184
dc.identifierhttp://arxiv.org/abs/cond-mat/0703184
dc.identifierNucl.Phys.B769:275-286,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.01.029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205930
dc.subjectSuperconductivity
dc.subjectHigh Energy Physics - Theory
dc.titleMagnetic Field Effects on the Superconducting and Quantum Critical Properties of Layered Systems with Dirac Electrons
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