Non-integrable dimer models: Universality and scaling relations

DOI10.1063/1.5109618zbMath1431.82008arXiv1905.04011OpenAlexW3104440930WikidataQ127066052 ScholiaQ127066052MaRDI QIDQ5205179

Alessandro Giuliani, Fabio Lucio Toninelli

Publication date: 10 December 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04011

zbMATH Keywords

critical exponentIsing modelsrenormalization groupcritical pointnon-integrable dimer models

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (3)

Weakly nonplanar dimers ⋮ Scaling limits and universality of Ising and dimer models ⋮ Non-integrable dimers: universal fluctuations of tilted height profiles

Cites Work

• Unnamed Item
• A strong central limit theorem for a class of random surfaces
• Delocalization of two-dimensional random surfaces with hard-core constraints
• Height fluctuations in interacting dimers
• Drude weight in non solvable quantum spin chains
• Conformal invariance in random cluster models. I: Holomorphic fermions in the Ising model
• Fluctuations for the Ginzburg-Landau \(\nabla \phi\) interface model on a bounded domain
• Perturbation theory of the Fermi surface in a quantum liquid. A general quasiparticle formalism and one-dimensional systems
• Non-integrable dimers: universal fluctuations of tilted height profiles
• Extended scaling relations for planar lattice models
• Local statistics of lattice dimers
• 2D models of statistical physics with continuous symmetry: The case of singular interactions
• Equilibrium fluctuations for \(\nabla\varphi\) interface model
• Conformal invariance of spin correlations in the planar Ising model
• On homogenization and scaling limit of some gradient perturbations of a massless free field
• Emergent planarity in two-dimensional Ising models with finite-range interactions
• Dimers and amoebae
• Partition function of the eight-vertex lattice model
• Anomalous universality in the anisotropic Ashkin-Teller model
• Energy correlations of non-integrable Ising models: the scaling limit in the cylinder
• Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
• The statistics of dimers on a lattice
• Haldane relation for interacting dimers
• Integrability as a consequence of discrete holomorphicity: loop models
• Connection probabilities and RSW‐type bounds for the two‐dimensional FK Ising model
• Dimers and families of Cauchy-Riemann operators I
• Dimer problem in statistical mechanics-an exact result
• The low-temperature expansion of the Wulff crystal in the 3D Ising model

This page was built for publication: Non-integrable dimer models: Universality and scaling relations