Abstract
The classical BCS strategy is employed to study layered high Tc superconductors. Starting from a tight binding description and a phenomenological pairing interaction between electrons an anisotropic BCS gap equation is derived. It will be shown that asymmetric pairing interaction within the layers leads to perturbed pitchfork bifurcations separating smoothly different phases of the gap parameter. If the hopping probabilities in the x and y direction differ, local minima of the Gibbs’ free energy can turn into global minima and vice versa, leading to phase transitions which do not result from bifurcations.
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© 1992 Springer Science+Business Media New York
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Pavlopoulos, T., Christiansen, P.L., Soerensen, M.P., Lazarides, N., Spathis, P. (1992). Numerical Study of Bifurcations in the BCS Gap Equation. In: Bountis, T. (eds) Chaotic Dynamics. NATO ASI Series, vol 298. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3464-8_21
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DOI: https://doi.org/10.1007/978-1-4615-3464-8_21
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