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Journal of Superconductivity and Novel Magnetism

Superconductivity from Strong Correlation in High-Temperature Superconductors

Takashi Yanagisawa, Mitake Miyazaki, Yamaji K.

Published Dec 9, 2015• 2 citations
Publisher
DOI
10.1007/s10948-015-3303-3

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•Jan 1, 2025•0 citations
It is very important to elucidate the mechanism of superconductivity for achieving room temperature superconductivity. In the first half of this paper, we give a brief review on mechanisms of superconductivity in many-electron systems. We believe that high-temperature superconductivity may occur in a system with interaction of large-energy scale. Empirically, this is true for superconductors that have been found so far. In the second half of this paper, we discuss cuprate high-temperature superconductors. We argue that superconductivity of high temperature cuprates is induced by the strong on-site Coulomb interaction, that is, the origin of high-temperature superconductivity is the strong electron correlation. We show the results on the ground state of electronic models for high temperature cuprates on the basis of the optimization variational Monte Carlo method. A high-temperature superconducting phase will exist in the strongly correlated region.
It is very important to clarify the mechanism of high-temperature superconductivity in strongly correlated electron systems. The mechanism of superconductivity in high temperature cuprate superconductors has been studied extensively since their discovery. We investigate the properties of correlated electron systems and mechanism of superconductivity by using the optimization quantum variational Monte Carlo method. The many-body wave function is constructed by multiplying by correlation operators of exponential type. We show that d-wave superconducting phase exists in the strongly correlated region where the on-site repulsive interaction is as large as the bandwidth or more than the bandwidth. The d-wave pairing correlation function is shown as a function of lattice sites, showing that the long-range order indeed exists.
Since its discovery, superconductivity has received significant attention, with renewed interest following the discovery of high-temperature superconductors (HTSCs) such as cuprates. The t–J model, combined with the Gutzwiller approximation, has been used to study HTSCs. While much research has focused on homogeneous systems, less attention has been given inhomogeneous ones - especially the possible coexistence of superconductivity and antiferromagnetism in them. The coexistence could be of interest for applications within superconducting spintronics.The focus of the present thesis is [110] edges of HTSCs. It is shown that these edges attract quasiparticles, increasing the local occupation and thereby strengthening local correlation, which in turn reduces the weight of the zero-energy Andreev bound states typically present at [110] edges. Furthermore, the s-wave order parameter, predicted in some models to form at the edge, is here seen to vanish or be suppressed. Finally, it is demonstrated that the charging of the edges enables antiferromagnetic order to emerge at the edges at higher average dopings than in homogeneous systems.