Abstract
Two-dimensional Heisenberg dipolar lattices are investigated by Monte Carlo simulations. Simulations are performed on triangular, square, honeycomb, and kagome lattices. Lattice-dependent magnetic structures and critical phenomena are observed. Although it is believed that two-dimensional Heisenberg dipolar lattices belong to the same universality class of two-dimensional XY dipolar lattices, results from the Monte Carlo simulations show considerable deviations in the critical exponent ν between the Heisenberg and XY models of triangular and square lattices. The Heisenberg dipolar honeycomb lattice exhibits unusual magnetic ordering in the form of arrays of vortices. Using finite-size scaling techniques, it is shown that the unusual order undergoes the Kosterlitz–Thouless transition. On the kagome lattice, geometric frustration produces a peculiar ferromagnetic ordered state that is macroscopically degenerate. The degeneracy is expected to explain the missing magnetic entropy in ferromagnetic kagome, pyro...
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
