Neél Order in Square and Triangular Lattice Heisenberg Models

Three-sublattice order in the SU(3) Heisenberg model on the square and triangular lattice

Bela Bauer,1, 2 Philippe Corboz,1, 3 Andreas M. Läuchli,4, 5 Laura Messio,3 Karlo Penc,6 Matthias Troyer,1 and Frédéric Mila3 Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland Station Q, Microsoft Research, Santa Barbara, CA 93106 Institute of Theoretical Physics, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland Institut für Theoretische Physik, Universität...

Heisenberg Antiferromagnet on a Triangular Lattice

Exact spectra, spin susceptibilities, and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice.

Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice. Abstract Exact spectra of periodic samples are computed up to N = 36. Evidence of an extensive set of low lying levels, lower than the softest magnons, is exhibited. These low lying quantum states are degenerated in the thermodynamic limit; their symmetries and dynamics ...

Triangular Lattice Potts Models

In this paper we study the 3-state Potts model on the triangular lattice which has twoand three-site interactions. Using a Peierls argument we obtain a rigorous bound on the transition temperature, thereby disproving a conjecture on the location of its critical point. Low-temperature series are generated and analyzed for three particular choices of the coupling constants; a phase diagram is the...

Phase diagram for a class of spin-2 Heisenberg models interpolating between the square-lattice, the triangular-lattice, and the linear-chain limits

We study the spin1 2 Heisenberg models on an anisotropic two-dimensional lattice which interpolates between the square lattice at one end, a set of decoupled spin chains on the other end, and the triangular-lattice Heisenberg model in between. By series expansions around two different dimer ground states and around various commensurate and incommensurate magnetically ordered states, we establis...