Fluxes, Laplacians, and Kasteleyn's theorem

DOI10.1215/S0012-7094-93-07114-1zbMath0787.05083arXivcond-mat/9209031MaRDI QIDQ1312784

Elliott H. Lieb, Michael Loss

Publication date: 16 May 1994

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9209031

zbMATH Keywords

eigenvaluesmagnetic fielddeterminantsmatricesplanar graphcrystal latticeLaplaciansdimer coveringsKasteleyn's theorem

Mathematics Subject Classification ID

Trees (05C05) Applications of graph theory (05C90) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Electromagnetic interaction; quantum electrodynamics (81V10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Combinatorial aspects of packing and covering (05B40)

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