Low Temperature Physics: 35, 632 (2009); https://doi.org/10.1063/1.3224719 (6 pages)
Физика Низких Температур: Том 35, Выпуск 8-9 (Август 2009), c. 805-811    ( к оглавлению , назад )

Superconducting properties of a boson-exchange model of doped graphene

V.M. Loktev

Bogolyubov Institute for Theoretical Physics, Metrologichna Str. 14-b, Kiev 03680, Ukraine
E-mail: vloktev@bitp.kiev.ua

V. Turkowski

Department of Physics and NanoScience Technology Center, University of Central Florida, Orlando, Florida 32816

Received February 16, 2009


We study the superconducting properties of a doped one-layer graphene by using a model in which the interparticle attraction is caused by a boson (phonon-like) excitations. We study the dependencies of the superconducting gap D and the mean-field critical temperature TcMF on the carrier density, attraction strength and the characteristic (Debye) bosonic frequency. In addition, we study the temperature-carrier density phase diagram of the model by taking into account the thermal fluctuations of the order parameter. We show that the fluctuations result in a significant suppression of TcMF, such that the real (Berezinskii– Kosterlitz–Thouless) critical temperature Tc is much lower than TcMF. The region Tc < T < TcMF is characterized by a finite density of states at the Fermi level (the pseudogap phase). We show that the width of the temperature interval of the pseudogap phase strongly depends on the model parameters—carrier concentration, attraction amplitude, and boson frequency.

Pacs: 74.20.–z Theories and models of superconducting state;
PACS: 74.78.–w Superconducting films and low-dimensional structures;
PACS: 74.40. +k Fluctuations (noise, chaos, nonequilibrium superconductivity, localization, etc.);
PACS: 73.63.–b Electronic transport in nanoscale materials and structures.

Key words: boson excitations, graphene, superconducting properties of thin films, low-dimensional structures.