A monomer-dimer model with a short-range attractive interaction favoring collinear dimers is considered on the lattice Z2. Although our choice of the chemical potentials results in more horizontal than vertical dimers, the horizontal dimers have no long-range translational order - in agreement with the Heilmann–Lieb conjecture (Heilmann and Lieb in J Stat Phys 20(6):679–693, 1979).
A cluster expansion approach to the Heilmann-Lieb liquid crystal model
ALBERICI, DIEGO
2016
Abstract
A monomer-dimer model with a short-range attractive interaction favoring collinear dimers is considered on the lattice Z2. Although our choice of the chemical potentials results in more horizontal than vertical dimers, the horizontal dimers have no long-range translational order - in agreement with the Heilmann–Lieb conjecture (Heilmann and Lieb in J Stat Phys 20(6):679–693, 1979).File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
