Eur. Phys. J. B 26, 439-447 (2002)
https://doi.org/10.1140/epjb/e20020112

Classical spin liquid properties of the infinite-component spin vector model on a fully frustrated two dimensional lattice

¹ Laboratoire Louis Néel, CNRS, 25 avenue des Martyrs, BP 166, 38042 Grenoble Cedex 9, France
² Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, 01187 Dresden, Germany

Corresponding author: ^a canals@labs.polycnrs-gre.fr

Received: 16 November 2001
Revised: 12 February 2002
Published online: 15 April 2002

Abstract

Thermodynamic quantities and correlation functions (CFs) of the classical antiferromagnet on the checkerboard lattice are studied for the exactly solvable infinite-component spin-vector model, . In contrast to conventional two-dimensional magnets with continuous symmetry showing extended short-range order at distances smaller than the correlation length, , correlations in the checkerboard-lattice model decay already at the scale of the lattice spacing due to the strong degeneracy of the ground state characterized by a macroscopic number of strongly fluctuating local degrees of freedom. At low temperatures, spin CFs decay as in the range , where a₀ is the lattice spacing. Analytical results for the principal thermodynamic quantities in our model are very similar with MC simulations, exact and analytical results for the classical Heisenberg model (D=3) on the pyrochlore lattice. This shows that the ground state of the infinite-component spin vector model on the checkerboard lattice is a classical spin liquid.