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Modulated Phases in a Spin Model with Dzyaloshinskii-Moriya Interactions

  • Condensed Matter
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Abstract

We analyze the phase diagram of an elementary statistical lattice model of classical, discrete, spin variables, with nearest-neighbor ferromagnetic isotropic interactions in competition with chiral interactions along an axis. At the mean-field level, we show the existence of critical lines of transition to a region of modulated (helimagnetic) structures. We then turn to the analysis of the analogous problem on a Cayley tree. Taking into account the simplicity introduced by the infinite-coordination limit of the tree, we explore several details of the phase diagrams in terms of temperature and a parameter of competition. In particular, we characterize sequences of modulated (helical) structures associated with devil’s staircases of a fractal character.

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Acknowledgements

We acknowledge many fruitful discussions with Eduardo S. Nascimento. Also, we acknowledge the financial support of the Brazilian agencies CNPq and CAPES.

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  1. Instituto de Física, Universidade de São Paulo, São Paulo, SP, Brazil

    William de Castilho & S. R. Salinas

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  1. William de Castilho
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  2. S. R. Salinas
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Correspondence to William de Castilho.

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de Castilho, W., Salinas, S.R. Modulated Phases in a Spin Model with Dzyaloshinskii-Moriya Interactions. Braz J Phys 51, 1175–1181 (2021). https://doi.org/10.1007/s13538-021-00914-7

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  • DOI: https://doi.org/10.1007/s13538-021-00914-7

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