Frustrated superconductivity and sextetting order
arXiv:2209.13745 · doi:10.1007/s11433-024-2396-y
Abstract
The superconducting state typically favors a uniform spatial distribution akin to ferromagnetism. Nevertheless, the pair-density-wave state exhibits sign changes in the pairing order, leading to potential frustrations in phase coherence.We propose a mechanism to the sextetting order stemming from the frustrations in the phase coherence of a pair-density-wave state, whose spatial modulation manifests a vortex-antivortex honeycomb lattice. The classical ground state configurations are mapped to Baxter's three-coloring model, revealing a macroscopic degeneracy accompanied by extensive entropy. The phase coherence problem intertwines the U(1) phases and the vorticity variables. While the resultant color and phase fluctuations suppress the pair-density-wave order, they maintain the sextetting order above the superconducting transition temperature (). The -fractional vortex emerges as the fundamental topological defect in the sextetting order. This novel mechanism of frustrated superconductivity provides an alternative explanation for the experimental observed fractional oscillations in CsVSb.
9 pages, 9 figures
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