Linear and quadratic temperature dependence of electronic specific heat\n for cuprates

2013/01/08 by P. Salas, Salas, P., Francisco J. Sevilla +4
Engineering · Physics and Astronomy · #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #Superconducting Materials and Applications #Superconductivity (cond-mat.supr-con)

paper · pdf · doi:10.48550/arxiv.1301.1741

openalex publication_date 2013/01/08 · openalex created_date 2019/07/30 · openalex updated_date 2026/07/28

Abstract

We model cuprate superconductors as an infinite layered lattice structure\nwhich contains a fluid of paired and unpaired fermions. Paired fermions, which\nare the superconducting carriers, are considered as noninteracting zero spin\nbosons with a linear energy-momentum dispersion relation, which coexist with\nthe unpaired fermions in a series of almost two dimensional slabs stacked in\ntheir perpendicular direction. The inter-slab penetrable planes are simulated\nby a Dirac comb potential in the direction in which the slabs are stacked,\nwhile paired and unpaired electrons (or holes) are free to move parallel to the\nplanes. Paired fermions condense at a BEC critical temperature at which a jump\nin their specific heat is exhibited, whose values are assumed equal to the\nsuperconducting critical temperature and the specific heat jump experimentally\nreported for YBaCuO_(7-x) to fix our model parameters: the plane\nimpenetrability and the fraction of superconducting charge carrier. We\nstraightforwardly obtain, near and under the superconducting temperature Tc,\nthe linear (\γ_e T) and the quadratic (\α T²) electronic specific heat\nterms, with \γ_e and \α, of the order of the latest experimental values\nreported. After calculating the lattice specific heat (phonons) Cl from the\nphonon spectrum data obtained from inelastic neutron scattering experiments,\nand added to the electronic (paired plus unpaired) Ce component, we\nqualitatively reproduce the total specific heat below Tc, whose curve lies\nclose to the experimental one, reproducing its exact value at Tc.\n

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