$H\text{\ensuremath{-}}T$ phase diagram of the two-dimensional Ising model with exchange and dipolar interactions

$H − T$ phase diagram of the two-dimensional Ising model with exchange and dipolar interactions

Rogelio Díaz-Méndez and Roberto Mulet

Phys. Rev. B 81, 184420 – Published 19 May 2010

Abstract

We explore the equilibrium properties of a two-dimensional Ising spin model with short-range exchange and long-range dipolar interactions as a function of the applied magnetic field $H$ . The model is studied through extensive Monte Carlo simulations that show the existence of many modulated phases with long-range orientational order for a wide range of fields. These phases are characterized by different wave vectors that change discontinuously with the magnetic field. In particular, the emergence of novel anharmonic phases that keep the orientational order but are characterized by several wave vectors is studied in detail. We provide numerical evidence supporting the existence of first-order transitions between modulated phases. At higher fields our results suggest a Kosterliz-Thouless scenario for the transition from a bubble to a ferromagnetic phase.

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Received 15 February 2010

DOI:https://doi.org/10.1103/PhysRevB.81.184420

Authors & Affiliations

Rogelio Díaz-Méndez^1,2 and Roberto Mulet^2,3

¹Nanophysics Group, Department of Physics, Electric Engineering Faculty, CUJAE, Ave 114 final, La Habana, Cuba
²“Henri-Poincaré-Group” of Complex Systems, Physics Faculty, University of Havana, La Habana, CP 10400, Cuba
³Department of Theoretical Physics, Physics Faculty, University of Havana, La Habana, CP 10400, Cuba

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Vol. 81, Iss. 18 — 1 May 2010

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Physical Review B

covering condensed matter and materials physics

$H − T$ phase diagram of the two-dimensional Ising model with exchange and dipolar interactions

Rogelio Díaz-Méndez and Roberto Mulet

Phys. Rev. B 81, 184420 – Published 19 May 2010

Abstract

Authors & Affiliations

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Physical Review B

covering condensed matter and materials physics

H−T phase diagram of the two-dimensional Ising model with exchange and dipolar interactions

Rogelio Díaz-Méndez and Roberto Mulet

Phys. Rev. B 81, 184420 – Published 19 May 2010

Abstract

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$H − T$ phase diagram of the two-dimensional Ising model with exchange and dipolar interactions