Stability of the skyrmion lattice near the critical temperature in cubic helimagnets

Abstract

The phase diagram of cubic helimagnets near the critical temperature is obtained from a Landau-Ginzburg model, including fluctuations to gaussian level. The free energy is evaluated via a saddle point expansion around the local minima of the Landau-Ginzburg functional. The local minima are computed by solving the Euler-Lagrange equations with appropriate boundary conditions, preserving manifestly the full nonlinearity that is characteristic of skyrmion states. It is shown that the fluctuations stabilize the skyrmion lattice in a region of the phase diagram close to the critical temperature, where it becomes the equilibrium state. A comparison of this approach with previous computations performed with a different approach (truncated Fourier expansion of magnetic states) is given.

arXiv comment6 pages, 6 color figures

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• An improved discretization of Schrodinger-like radial equations

Cited by in corpus (4)

• Widely-sweeping magnetic field-temperature phase diagrams for skyrmion-hosting centrosymmetric tetragonal magnets
• Response of the chiral soliton lattice to spin polarized currents
• Scattering of spin waves by a Bloch domain wall: effect of the dipolar interaction
• The continuum of metastable conical states of monoaxial chiral helimagnets