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Main Authors: Pan, Zhiming, Lu, Chen, Yang, Fan, Wu, Congjun
Format: Preprint
Published: 2022
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Online Access:https://arxiv.org/abs/2209.13745
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author Pan, Zhiming
Lu, Chen
Yang, Fan
Wu, Congjun
author_facet Pan, Zhiming
Lu, Chen
Yang, Fan
Wu, Congjun
contents 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 ($T_{\text{c}}$). The $1/3$-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 CsV$_3$Sb$_5$.
format Preprint
id arxiv_https___arxiv_org_abs_2209_13745
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Frustrated superconductivity and sextetting order
Pan, Zhiming
Lu, Chen
Yang, Fan
Wu, Congjun
Superconductivity
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 ($T_{\text{c}}$). The $1/3$-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 CsV$_3$Sb$_5$.
title Frustrated superconductivity and sextetting order
topic Superconductivity
url https://arxiv.org/abs/2209.13745