Towards a phase diagram of the 2D Skyrme model

Abstract

We discuss calculations of the phase diagram of the baby-Skyrme model, a two-dimensional version of the model that has been so successful in the description of baryons. Contact is made with the sine Gordon model in 1D, and relations with the Skyrme model used in the quantum-Hall effect are pointed out. It is shown that at finite temperature the phase diagram is dominated by a liquid, and not the crystal that plays a role for zero temperature.

References in corpus (3)

• Simulated Annealing for Topological Solitons
• Thermodynamic Phase Diagram of the Quantum Hall Skyrmion System
• Massive skyrmions in quantum Hall ferromagnets

Cited by in corpus (15)

• Investigation of restricted baby Skyrme models
• Domain wall Skyrmions
• Extended Supersymmetry and BPS solutions in baby Skyrme models
• Compact baby skyrmions
• The gauged BPS baby Skyrme model
• Magnetothermodynamics of BPS baby skyrmions
• Baby Skyrme model and fermionic zero modes
• Hexagonal Structure of Baby Skyrmion Lattices
• Supersymmetric galileons and auxiliary fields in 2+1 dimensions
• SUSY Chern-Simons ${\mathbb{CP}}^N$ and baby Skyrme models and their BPS structures
• Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model
• The existence of Bogomolny decomposition for baby Skyrme models
• Self-dual compact gauged baby skyrmions in a continuous medium
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties
• Self-dual solitons in a Born-Infeld baby Skyrme model