Magnetization Jump in a Model for Flux Lattice Melting at Low Magnetic Fields

Abstract

Using a frustrated XY model on a lattice with open boundary conditions, we numerically study the magnetization change near a flux lattice melting transition at low fields. In both two and three dimensions, we find that the melting transition is followed at a higher temperature by the onset of large dissipation associated with the zero-field XY transition. It is characterized by the proliferation of vortex-antivortex pairs (in 2D) or vortex loops (in 3D). At the upper transition, there is a sharp increase in magnetization, in qualitative agreement with recent local Hall probe experiments.

arXiv commentupdated figures and texts. new movies available at http://www.physics.ohio-state.edu:80/~ryu/jj.html. Accepted for publication in Physical Review Letters

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• Numerical study of vortex matter using the Bose model: First-order melting and entanglement
• Simulation of Flux Lines with Columnar Pins: Bose Glass and Entangled Liquids
• Do Vortices Entangle?
• Flux-line entanglement as the mechanism of melting transition in high-temperature superconductors in a magnetic field
• Correlation Lengths in the Vortex Line Liquid of a High Tc Superconductor
• 3D XY scaling theory of the superconducting phase transition
• Monte-Carlo calculation of longitudinal and transverse resistivities in a model Type-II superconductor
• Superconducting Coherence and the Helicity Modulus in Vortex Line Models
• Viscoelasticity and Surface Tension at the Defect-Induced First-Order Melting Transition of a Vortex Lattice
• Entanglement in Dilute Flux Line Liquids
• Vortex Fractionalization in a Josephson Ladder