2001/03/31 by Leo Radzihovsky, A. M. Ettouhami, Karl Saunders +1 · 2 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.87.027001
published as Phys. Rev. Lett., 87 (2001) 27001 · minor corrections; version published in PRL
openalex publication_date 2001/06/21 · arxiv created 2001/07/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Ferromagnetic order in superconductors can induce a spontaneous vortex (SV) state. For external field H\phantom\rule0ex0ex=\phantom\rule0ex0ex0, rotational symmetry guarantees a vanishing tilt modulus of the SV solid, leading to drastically different behavior than that of a conventional, external-field-induced vortex solid. We show that quenched disorder and anharmoinc effects lead to elastic moduli that are wave-vector dependent out to arbitrarily long length scales, and non-Hookean elasticity. The latter implies that for weak external fields H, the magnetic induction scales universally like B(H)\ensuremath∼B(0)+cH^\ensuremathα, with \ensuremathα\ensuremath≈0.72. For weak disorder, we predict the SV solid is a topologically ordered glass, in the ``columnar elastic glass'' universality class.