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

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

2000-10-14

arxiv.org/abs/cond-mat/0010199v3

J. Phys. Soc. Jpn. 70, 1472 (2001)

Physics

Condensed Matter

Superconductivity

4 pages, 1 figure, the condition of taking continuum limit included, references added, typos corrected, to be published in Jou

Scientific paper

10.1143/JPSJ.70.1472

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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