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

J.G. Brankov and D.M. Danchev

Physica A: Statistical Mechanics and its Applications, 1987, vol. 144, issue 1, 128-139

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.

Date: 1987
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:144:y:1987:i:1:p:128-139

DOI: 10.1016/0378-4371(87)90148-8

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