---
abstract: 'We carry out extensive Monte Carlo simulations of the three-dimensional (3D) uniformly frustrated XY model with uncorrelated randomly perturbed couplings, as a model for the equilibrium behavior of an extreme type-II superconductor with quenched uncorrelated random point vortex pinning, in the presence of a uniform applied magnetic field. We map out the resulting phase diagram as a function of temperature $T$ and pinning strength $p$ for a fixed value of the vortex line density. At low $p$ we find a sharp first order vortex lattice melting phase boundary separating a vortex lattice from a vortex liquid. As $p$ increases, it appears that this first order transition smears out over a finite temperature interval, due to the effects of the random pinning, in agreement with several recent experiments. At large $p$ we find a second order transition from vortex liquid to vortex glass.'
author:
- Peter Olsson
- 'S. Teitel'
title: 'Unified Phase Diagram for the Three-Dimensional XY Model of a Point Disordered Type-II Superconductor'
---

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Introduction
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In strong type-II superconductors, where the magnetic penetration length $\lambda$ is much larger than the bare coherence length $\xi_0$, much of the macroscopic behavior can be modeled in terms of 