We use large-scale Monte-Carlo simulations to study thermal fluctuations in chiral $p$-wave superconductors in an applied magnetic field in three dimensions. We consider the thermal stability of previously predicted unusual double-quanta flux-line lattice ground states in such superconductors. In previous works it was shown that, neglecting thermal fluctuations, a chiral $p$-wave superconductor forms a hexagonal lattice of doubly-quantized vortices, except extremely close to the vicinity of $H_{c2}$ where double-quanta vortices split apart. We find dissociation of double-quanta vortices driven by thermal fluctuations. However, our calculations also show that the previous predictions of hexagonal doubly-quantized vortices, where thermal fluctuations were ignored, are very robust in the considered model.

中文翻译：

---

手性波超导体中的热涨落和涡旋晶格结构：双量子涡旋的鲁棒性

我们使用大规模蒙特卡罗模拟来研究手性的热波动 $磷$-波超导体在三个维度的外加磁场中。我们考虑了先前预测的这种超导体中不寻常的双量子通量线晶格基态的热稳定性。在以前的工作中表明，忽略热波动，手性$磷$-波超导体形成双量子化涡旋的六边形晶格，除非非常靠近 $H_{C2}$双量子漩涡分裂的地方。我们发现由热波动驱动的双量子涡旋解离。然而，我们的计算还表明，先前对六边形双量化涡旋的预测（其中忽略了热波动）在所考虑的模型中非常稳健。