Regensburg 2019 – scientific programme
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SYGT: Symposium Geometry, Topology, and Condensed Matter
SYGT 1: Geometry, topology, and condensed matter
SYGT 1.1: Invited Talk
Tuesday, April 2, 2019, 09:30–10:00, H1
Thermal Properties of Vortices on Curved Surfaces — Leopoldo R. Gómez1, Nicolás A. García2, Daniel A. Vega1, and •José Lorenzana3 — 1Instituto de Física del Sur (IFISUR), Departamento de Física, Universidad Nacional del Sur (UNS), CONICET, Av. L. N. Alem 1253, B8000CPB - Bahía Blanca, Argentina. — 2Institut Laue-Langevin, 71 Avenue des Martyrs, 3842 Grenoble, France. — 3Istituto dei Sistemi Complessi-CNR, Dipartimento di Fisica, Università di Roma "La Sapienza", Piazzale Aldo Moro 2, 00185 Roma, Italy.
We use Monte Carlo simulations to study the finite temperature behavior of vortices in the XY-model for tangent vector order on curved backgrounds. Contrary to naive expectations, we show that the underlying geometry does not affect the proliferation of vortices with temperature respect to what is observed on a flat surface. Long-range order in these systems is analyzed by using two-point correlation functions. As expected, in the case of slightly curved substrates these correlations behave similarly to the plane. However, for high curvatures, the presence of geometry-induced unbounded vortices at low temperatures produces the rapid decay of correlations and an apparent lack of long-range order. Our results shed light on the finite-temperature physics of soft-matter systems and anisotropic magnets deposited on curved substrates.