TY - JOUR

T1 - PINWHEEL AND HERRINGBONE STRUCTURES OF PLANAR ROTORS WITH ANISOTROPIC INTERACTIONS ON A TRIANGULAR LATTICE WITH VACANCIES.

AU - Harris, A. B.

AU - Mouritsen, O. G.

AU - Berlinsky, A. J.

PY - 1984

Y1 - 1984

N2 - A variety of theoretical techniques, including Monte Carlo (MC), mean field theory, and spin-wave theory, are used to analyze the phase diagram of a system of planar rotors on a triangular lattice with vancancies. A simple anisotropic interaction, which mimics the electric quadrupole-quadrupole interaction for diatomic molecules confined to rotate in the plane of the surface, induces a herringbone-ordered structure for the pure (x equals 1) system, whereas for x approximately equals 0. 75, if the vacancies are free to move, a 2 multiplied by 2 pinwheel structure is favored. For x equals 0. 75, MC calculations give a continuous transition with Ising exponents in agreement with renormalization group predictions for this universality class, the Heisenberg model with corner-type cubic anisotropy. Mean field theory gives the unexpected result that the pinwheel phase is stable only along the herringbone-disordered state coexistence line in the temperature versus chemical potential phase diagram. Spin-wave theory is used to show that there is, in fact, a finite domain of stability for the pinwheel phase, and a complete phase diagram, which encompasses all available information, is conjectured.

AB - A variety of theoretical techniques, including Monte Carlo (MC), mean field theory, and spin-wave theory, are used to analyze the phase diagram of a system of planar rotors on a triangular lattice with vancancies. A simple anisotropic interaction, which mimics the electric quadrupole-quadrupole interaction for diatomic molecules confined to rotate in the plane of the surface, induces a herringbone-ordered structure for the pure (x equals 1) system, whereas for x approximately equals 0. 75, if the vacancies are free to move, a 2 multiplied by 2 pinwheel structure is favored. For x equals 0. 75, MC calculations give a continuous transition with Ising exponents in agreement with renormalization group predictions for this universality class, the Heisenberg model with corner-type cubic anisotropy. Mean field theory gives the unexpected result that the pinwheel phase is stable only along the herringbone-disordered state coexistence line in the temperature versus chemical potential phase diagram. Spin-wave theory is used to show that there is, in fact, a finite domain of stability for the pinwheel phase, and a complete phase diagram, which encompasses all available information, is conjectured.

U2 - 10.1139/p84-126

DO - 10.1139/p84-126

M3 - Journal article

AN - SCOPUS:0021499731

VL - 62

SP - 915

EP - 934

JO - Canadian Journal of Physics

JF - Canadian Journal of Physics

SN - 0008-4204

IS - 9

ER -