Phase diagram of the triangular-lattice Potts antiferromagnet

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...

0 Ground State Entropy of the Potts Antiferromagnet on Triangular Lattice Strips

We present exact calculations of the zero-temperature partition function (chromatic polynomial) P for the q-state Potts antiferromagnet on triangular lattice strips of arbitrarily great length Lx vertices and of width Ly = 3 vertices and, in the Lx → ∞ limit, the exponent of the ground-state entropy, W = e0B . The strips considered, with their boundary conditions (BC) are (a) (FBCy, PBCx) = cyc...

Calorimetric Determination of the Angular Dependent Phase Diagram of an S = 1/2 Heisenberg Triangular-lattice Antiferromagnet

An antiferromagnetic system on a 2-D triangular lattice leads to geometric topological frustration. This ideal system has been the subject of theoretical investigations. One experimental realization of this system is the compound Cs2CuCl4. Various magnetization, heat capacity, neutron scattering and NMR studies have identified several magnetic transitions when the magnetic field is applied alon...

Nature of phase transitions in the striped phase of a triangular-lattice Ising antiferromagnet

Different scenarios of the fluctuation-induced disordering of the striped phase which is formed at low temperatures in the triangular-lattice Ising model with the antiferromagnetic interaction of nearest and further neighbors are analyzed and compared. The dominant mechanism of the disordering is related to the formation of a network of domain walls, which is characterized by an extensive numbe...

Heisenberg Antiferromagnet on a Triangular Lattice