English

Entropy driven formation of a half-quantum vortex lattice

Superconductivity 2015-05-20 v2

Abstract

Half-quantum vortices (HQVs) can exist in a superconductor or superfluid with an exact or approximate U(1) \times U(1) symmetry, for instance in spinor condensates, 3He-A, Sr2RuO4, and possibly cuprate superconductors with stripe order. In this paper, we show that a lattice of HQVs can be stabilized at finite temperature even when it does not have lower energy than the lattice of full vortices at T = 0 since there is a gain in configurational entropy when a full vortex fractionalizes into a pair of HQVs. Specifically, the lattice of HQVs has an optical branch of phonon modes absent in the lattice of full vortices. Moreover, the HQV lattice at T > 0 can have a different structure than the HQV lattice at T = 0.

Keywords

Cite

@article{arxiv.1009.5719,
  title  = {Entropy driven formation of a half-quantum vortex lattice},
  author = {Suk Bum Chung and Steven A. Kivelson},
  journal= {arXiv preprint arXiv:1009.5719},
  year   = {2015}
}

Comments

12 pages, 2 figures; published version

R2 v1 2026-06-21T16:20:35.904Z