Physics – Condensed Matter – Superconductivity
Scientific paper
2001-11-07
Phys. Rev. B 67, 174507 (2003)
Physics
Condensed Matter
Superconductivity
8 pages, 3 figures. Expanded text, 1 extra figure
Scientific paper
10.1103/PhysRevB.67.174507
Motivated by recent tunnelling and Andreev-reflection experiments, we study the conditions for a quantum transition within the superconducting phase of the cuprates,in which a bulk imaginary (time-reversal breaking) $id_{xy}$component appears in addition to the $d_{x^2 - y^2}$ order parameter. We examine in detail the role of some important physical features of the cuprates.In particular we show that a closed Fermi surface,a bilayer splitting, an orthorhombic distortion,and the proximity to a quantum critical point around optimal doping favor the appearance of the imaginary component. These findings could explain why the mixed $d_{x^2 - y^2}+ id_{xy}$ order parameter is observed in YBCO and LSCO, and suggest that it could appear also in Bi2212. We also predict that, in all cuprates, the mixed state should be stable only in a limited doping region all contained beneath the $d_{x^2 - y^2}$ dome. The behavior of the specific heat at the secondary transition is discussed.
Capone Massimo
Caprara Sergio
Castellani Claudio
Castro Carlo Di
Grilli Marco
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