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

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Canals,  B.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Garanin,  D. A.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Canals, B., & Garanin, D. A. (2002). Classical spin liquid properties of the infinite-component spin vector model on a fully frustrated two dimensional lattice. European Physical Journal B, 26(4), 439-447. Retrieved from http://link.springer.de/link/service/journals/10051/bibs/2026004/20260439.htm.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-37BE-7
Abstract
Thermodynamic quantities and correlation functions (CFs) of the classical antiferromagnet on the checkerboard lattice an! studied for the exactly solvable infinite-component spin-vector model, D --> infinity. In contrast to conventional two- dimensional magnets with continuous symmetry showing extended short-range order at distances smaller than the correlation length, r less than or similar to xi(c) proportional to exp(T*/T), 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 (S0Sr) proportional to 1/r(2) in the range a(0) << r << xi(c) proportional to T-1/2, where a(0) 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.