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Ground state of an infinite two-dimensional system of dipoles on a lattice with arbitrary rhombicity angle

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  • Brankov, J.G.
  • Danchev, D.M.

Abstract

A class of possible periodic orientational configurations of a system of dipole moments located at the sites of an infinite flat rhombic lattice with an arbitrary rhombicity angle α is studied by using the Luttinger and Tisza method. In the framework of the method it is obtained that: for α ⪅ 80° the ground state is ferromagnetic, at α = 60° being continuously degenerate in direction; for 80° ⪅ α ⩽ 90° the ground state is antiferromagnetic, at α = 90° being also continuously degenerate with respect to one parameter. It is shown that the restriction of the interaction range leads to a change in the type of the ground state: at α = 60° this takes place between the third and the fourth coordination spheres and at α = 30° at a distance of about 500 lattice constants. From comparison with known results of numerical experiments on finite systems it is established that the type of the ground state of a finite and an infinite system may be essentially different.

Suggested Citation

  • Brankov, J.G. & Danchev, D.M., 1987. "Ground state of an infinite two-dimensional system of dipoles on a lattice with arbitrary rhombicity angle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 144(1), pages 128-139.
    • Handle: RePEc:eee:phsmap:v:144:y:1987:i:1:p:128-139
    DOI: 10.1016/0378-4371(87)90148-8
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    Cited by:

    1. Brankov, J.G., 1990. "Finite-size effects in the approximating Hamiltonian method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(3), pages 1035-1054.
    2. Malozovsky, Yu.M. & Rozenbaum, V.M., 1991. "Orientational ordering in two-dimensional systems with long-range interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 175(1), pages 127-145.

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