Topological transitions and freezing in \(XY\) models and Coulomb gases with quenched disorder: Renormalization via traveling waves

DOI10.1016/S0550-3213(00)00468-5zbMath0979.82012arXivcond-mat/9908335MaRDI QIDQ5933271

David Carpentier, Pierre Le Doussal

Publication date: 14 May 2001

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9908335

zbMATH Keywords

KPP equationrenormalization group methodtwo-dimensional \(XY\) model

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Phase transitions (general) in equilibrium statistical mechanics (82B26) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (6)

Emergence of dynamic vortex glasses in disordered polar active fluids ⋮ High-gradient operators in perturbed Wess-Zumino-Witten field theories in two dimensions ⋮ Front propagation into unstable states ⋮ Topological transitions and freezing in \(XY\) models and Coulomb gases with quenched disorder: Renormalization via traveling waves ⋮ Extreme value statistics and traveling fronts: Various applications ⋮ Exact results on spin glass models

Cites Work

• Unnamed Item
• Does quasi-long-range order in the two-dimensional XY model really survive weak random phase fluctuations?
• Polymers on disordered trees, spin glasses, and traveling waves.
• Random-energy model: An exactly solvable model of disordered systems
• Convergence of solutions of the Kolmogorov equation to travelling waves
• Topological transitions and freezing in \(XY\) models and Coulomb gases with quenched disorder: Renormalization via traveling waves

This page was built for publication: Topological transitions and freezing in \(XY\) models and Coulomb gases with quenched disorder: Renormalization via traveling waves