Pfaffian correlation functions of planar dimer covers

DOI10.1007/s10955-016-1684-8zbMath1360.82016arXiv1609.02824OpenAlexW3103224949MaRDI QIDQ526614

Simone Warzel, Manuel Laínz Valcázar, Michael Aizenman

Publication date: 15 May 2017

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

Full work available at URL: https://arxiv.org/abs/1609.02824

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (1)

Kac-Ward formula and its extension to order-disorder correlators through a graph zeta function

Cites Work

• A statistical model of current loops and magnetic monopoles
• A Pfaffian formula for monomer-dimer partition functions
• Double-dimer pairings and skew Young diagrams
• Dimer models, free fermions and super quantum mechanics
• Geometric analysis of \(\phi^ 4\) fields and Ising models. I, II
• Exact solution of the 2d dimer model: corner free energy, correlation functions and combinatorics
• Local statistics for random domino tilings of the Aztec diamond
• Revisiting the combinatorics of the 2D Ising model
• Emergent planarity in two-dimensional Ising models with finite-range interactions
• Conformal invariance of loops in the double-dimer model
• Theory of monomer-dimer systems
• The statistics of dimers on a lattice
• Statistical Mechanics of Dimers on a Plane Lattice
• Lectures on Dimers
• Dimer problem in statistical mechanics-an exact result
• Statistical Mechanics of Dimers on a Plane Lattice. II. Dimer Correlations and Monomers

This page was built for publication: Pfaffian correlation functions of planar dimer covers