Phase Diagram and Isentropic Curves for Ferromagnetic and Antiferromagnetic Transverse Ising Model on a Triangular Lattice

We study both the ferromagnetic and anti-ferromagnetic Ising model on a triangular lattice with a transverse magnetic field. Quantum Monte Carlo simulations and series expansions techniques are employed to determine the isentropes and phase diagrams for the system. Quantum Phase Transitions in the transverse field Ising model have recently been observed experimentally for linear chains and for small clusters with long range interactions. They are currently under investigation for triangular lattices.