# Fractional vortex lattice structures in spin triplet superconductors - Condensed Matter > Superconductivity

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Abstract: Motivated by recent interest in spin triplet superconductors, we investigatethe vortex lattice structures for this class of unconventional superconductors.We discuss how the order parameter symmetry can give rise to U1$\times$U1symmetry in same sense as in spinor condensates, making half-quantum vorticesHQV topologically stable. We then calculate the vortex lattice structure ofHQV-s, with particular attention on the roles of the crystalline lattice, theZeeman coupling, and Meissner screening, all absent in spinor condensates.Finally, we consider how spin-orbit coupling leads to a breakdown of theU1$\times$U1 symmetry in free energy and whether the HQV lattice survivesthis symmetry breaking. As examples, we examine simpler spin-triplet modelsproposed in the context of NaxCoO2$\cdot$yH2O and Bechgaard salts, as well asthe better known and more complex model for Sr2RuO4.

Author: ** Suk Bum Chung, Daniel F. Agterberg, Eun-Ah Kim**

Source: https://arxiv.org/