Year: 2017
Type: article
Abstract: We compute the free energy of the planar monomer-dimer model. Unlike the classical planar dimer model, an exact solution is not known in this case. Even the computation of the low-density power series expansion requires heavy and nontrivial computations. Despite the exponential computational complexity, we compute almost three times more terms than were previously known. Such an expansion provides both lower and upper bounds for the free energy and makes it possible to obtain more accurate numerical values than previously possible. We expect that our methods can be applied to other similar problems.
Source: Physical review. E
Author: Gleb Pogudin
Institution: Johannes Kepler University of Linz
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: Austrian Science Fund
OpenAlex ID: W2617418760