![veusz broken axis veusz broken axis](https://d1466nnw0ex81e.cloudfront.net/n_iv/600/893479.jpg)
The geometry considered is one where the dipolar particles are localized in one-dimensional (1D), two-dimensional (2D) and three-dimensional (3D) lattices.ĭifferently from the famous Wigner crystal state of electrons that has been predicted for systems of particles with a Coulomb interaction at low density 4, 5, the crystal phases of particles with dipolar interaction should be found at high density. This means that we ignore thermal effects and treat the system as being at absolute zero temperature. The focus of the present work is to study the properties of dipolar systems exactly in this regime. The behavior of the system under these conditions is then solely dominated by dipolar interactions. For such systems, formation of a classical crystal of dipolar particles is expected at those temperatures where the thermal energy is weak relative to the dominant characteristic dipolar energy. Significant progress in experimental techniques in the past decade has made possible the realization of dipolar gases consisting of molecules that have large dipole moments 1– 3. The results suggest stabilization of a particularly interesting ground state configuration consisting of three embedded spirals for the case of a two-dimensional hexagonal lattice. A careful analysis of the data in the bulk limit allows us to identify very accurate minimum and maximum energy bounds as well as ground state configurations corresponding to various types of lattices. We combine a new classical numerical approach in conjuncture with an ansatz for an energy decomposition method to study the energy stability of various magnetic configurations at zero temperature for systems of dipoles ranging from small to an infinite number of particles. It is assumed that we are in the regime of strong dipole moments where a classical treatment is possible.
![veusz broken axis veusz broken axis](https://www.wavemetrics.com/sites/www.wavemetrics.com/files/2018-10/sample.png)
In the present work, we study systems of magnetic dipoles where the dipoles are arranged on various types of one-dimensional, two-dimensional and three-dimensional lattices. Properties of many magnetic materials consisting of dipoles depend crucially on the nature of the dipole–dipole interaction.