Chiral superconductivity in nematic states

Abstract

We investigate chiral superconductivity which occurs in the electronic nematic state. A vortex state in a $c$-axis magnetic field is studied on the basis of the two-component Ginzburg-Landau model for nematic-chiral superconductors. It is shown that various vortex lattice structures are stabilized by nontrivial cooperation of nematicity and chirality in superconductors. In particular, the vortex lattice structural transition occurs when a square anisotropy parameter $\nu$ is positive (negative) and the nematicity is induced along the [110] axis ([100] axis). We discuss nematic-chiral superconductivity in URu${}_2$Si${}_2$, Sr${}_2$RuO${}_4$, and UPt${}_3$. An experimental test for the examination of nematic order and chiral superconductivity is proposed.

References in corpus (10)

• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• The Order Parameter for the Superconducting Phases of UPt${}_3$
• Rotational Symmetry Breaking in the Hidden-Order Phase of URu2Si2
• Observation of broken time-reversal symmetry in the heavy fermion superconductor UPt${}_3$
• Exotic Superconducting Properties in the Electron-Hole Compensated Heavy Fermion `Semimetal' URu2Si2
• Colossal thermomagnetic response in the exotic superconductor URu2Si2
• Direct observation of lattice symmetry breaking at the hidden-order transition in URu2Si2
• Cyclotron Resonance in the Hidden-Order Phase of URu2Si2
• Instability of square vortex lattice in d-wave superconductors is due to paramagnetic depairing
• High-Field Fermi Surface Properties in the Low Carrier Heavy Fermion Compound URu2Si2