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

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

2001-03-13

arxiv.org/abs/cond-mat/0103274v1

Physica C 370 (2002) 146-156

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 10 figures

Scientific paper

10.1016/S0921-4534(01)00932-7

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 $d_{xy}$ type. Both the permissible mixing angles 0 and $\pi /2$ 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 $d_{xy}$ 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.

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