Mixing of $d_{x^2-y^2}$ and $d_{xy}$ superconducting states for different filling and temperature

Angsula Ghosh; Sadhan K. Adhikari

doi:10.1016/S0921-4534(01)00932-7

paper

Mixing of $d_{x^{2} - y^{2}}$ and $d_{x y}$ superconducting states for different filling and temperature

arXiv:cond-mat/0103274 · doi:10.1016/S0921-4534(01)00932-7

Abstract

We investigate the solution of the gap equation for mixed order parameter symmetry states as a function of filling using a two-dimensional tight-binding model incorporating second-neighbor hopping for tetragonal and orthorhombic lattice. The principal (major) component of the order parameter is taken to be of the $d_{x^{2} - y^{2}}$ type. As suggested in several investigations the minor component of the order parameter is taken to be of the $d_{x y}$ type. Both the permissible mixing angles 0 and $π /2$ between the two components are considered. As a function of filling pronounced maxima of $d_{x^{2} - y^{2}}$ order parameter is accompanied by minima of the $d_{x y}$ order parameter. At fixed filling, the temperature dependence of the two components of the order parameter is also studied in all cases. The variation of critical temperature $T_{c}$ with filling is also studied and $T_{c}$ is found to increase with second-neighbor hopping.

14 pages, 10 figures

Mixing of dx2−y2​ and dxy​ superconducting states for different filling and temperature

Abstract

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Mixing of $d_{x^{2} - y^{2}}$ and $d_{x y}$ superconducting states for different filling and temperature