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d-Wave Superconductivity Induced by Chern-Simons Term in High-$T_c$ Cuprates

Takao Morinari
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Abstract

We show that a Chern-Simons term for a gauge field describing a fluctuation of spins is induced by integrating out hole fields in the presence of spin-orbit coupling which originates from a buckling of the CuO$_2$ plane. Through the Chern-Simons term, holes behave like skyrmion excitations in a spin system and become a superconducting state with $d_{x^2-y^2}$ symmetry after the antiferromagnetic long-range order is destroyed.

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Takao Morinari. 2001-05-23. d-Wave Superconductivity Induced by Chern-Simons Term in High-$T_c$ Cuprates. https://doi.org/10.1143/jpsj.70.1472

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