TY - JOUR
T1 - Coulomb and liquid dimer models in three dimensions
AU - Huse, David A.
AU - Krauth, Werner
AU - Moessner, R.
AU - Sondhi, Shivaji Lal
PY - 2003
Y1 - 2003
N2 - We study classical hard-core dimer models on three-dimensional lattices using analytical approaches and Monte Carlo simulations. On the bipartite cubic lattice, a local gauge field generalization of the height representation used on the square lattice predicts that the dimers are in a critical Coulomb phase with algebraic, dipolar correlations, in excellent agreement with our large-scale Monte Carlo simulations. The nonbipartite fcc and Fisher lattices lack such a representation, and we find that these models have both confined and exponentially deconfined but no critical phases. We conjecture that extended critical phases are realized only on bipartite lattices, even in higher dimensions.
AB - We study classical hard-core dimer models on three-dimensional lattices using analytical approaches and Monte Carlo simulations. On the bipartite cubic lattice, a local gauge field generalization of the height representation used on the square lattice predicts that the dimers are in a critical Coulomb phase with algebraic, dipolar correlations, in excellent agreement with our large-scale Monte Carlo simulations. The nonbipartite fcc and Fisher lattices lack such a representation, and we find that these models have both confined and exponentially deconfined but no critical phases. We conjecture that extended critical phases are realized only on bipartite lattices, even in higher dimensions.
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U2 - 10.1103/PhysRevLett.91.167004
DO - 10.1103/PhysRevLett.91.167004
M3 - Article
C2 - 14611431
AN - SCOPUS:0345330240
SN - 0031-9007
VL - 91
JO - Physical Review Letters
JF - Physical Review Letters
IS - 16
ER -