Temperature-dependent gap equations and their solutions in the SU(4) model of high-temperature superconductivity
Yang Sun, Mike Guidry, Cheng-Li Wu
DOI 10.1103/PhysRevB.73.134519 · Physical Review B
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Abstract
Temperature-dependent gap equations in the SU(4) model of high-Tc superconductivity are derived and analytical solutions are obtained. Based on these solutions, a generic gap diagram describing the features of energy gaps as functions of doping P is presented and a phase diagram illustrating the phase structure as a function of temperature T and doping P is sketched. A special doping point Pq occurs naturally in the solutions that separates two phases at temperature T=0: a pure superconducting phase on one side (P>Pq) and a phase with superconductivity strongly suppressed by antiferromagnetism on the other (P<Pq). We interpret Pq as a quantum phase transition point. Moreover, the pairing gap is found to have two solutions for P<Pq: a small gap that is associated with competition between superconductivity and antiferromagnetism and is responsible for the ground state superconductivity, and a large gap without antiferromagnetic suppression that corresponds to a collective excited state. A pseudogap appears in the solutions that terminates at Pq and originates from the competition between d-wave superconductivity and antiferromagnetism. Nevertheless, this conclusion does not contradict the preformed pair picture conceptually if the preformed pairs are generally defined as any pairs formed before pairing condensation.
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