Asymptotics of block Toeplitz determinants and the classical dimer model

Details Asymptotics of block Toeplitz determinants and the classical dimer model Asymptotics of block Toeplitz determinants and the classical dimer model

2006-07-28

arxiv.org/abs/math-ph/0607065v1

Physics

Mathematical Physics

Scientific paper

10.1007/s00220-007-0276-5

We compute the asymptotics of a block Toeplitz determinant which arises in the classical dimer model for the triangular lattice when considering the monomer-monomer correlation function. The model depends on a parameter interpolating between the square lattice ($t=0$) and the triangular lattice ($t=1$), and we obtain the asymptotics for $0

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