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

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.

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

References in corpus (3)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Berry Phase Theory of Anomalous Hall Effect: Application to Colossal Magnetoresistance Manganites
• Doping dependence of the Neel temperature in Mott-Hubbard antiferromagnets: Effect of vortices

Cited by in corpus (1)

• Mechanism of unconventional superconductivity induced by skyrmion excitations in two-dimensional strongly-correlated electron systems