Spontaneous skyrmion ground states in magnetic metals

Aug, 2006
5 pages
Published in:
  • Nature 442 (2006) 7104, 797-801
  • Published: Aug, 2006

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Abstract: (Springer)
A long-standing problem in modern physics is the description of particle–wave duality in terms of countable particles in continuous fields. It is known that particle-like states called skyrmions (they were conceived by Tony Skyrme) are a characteristic of nonlinear field models on microscopic to cosmological scales. But to date it has only been established that skyrmions exist as excitations, or when stabilized by external fields or topological defects, where they manifest as Turing patterns, spin textures in quantum Hall magnets, or blue phases in liquid crystals. New theoretical work suggests that skyrmions can also form stable ground states in various types of magnetic metals that should be observable directly with modern magnetic microscopy techniques. And on this new theory, skyrmion ground states should exist generally in a large number of materials. New theoretical work shows that skyrmions can form stable ground states in various types of magnetic metals and may be observed directly with modern magnetic microscopy techniques. Moreover, it predicts that spontaneous skyrmion ground states exist generally in a large number of materials. Since the 1950s, Heisenberg and others have addressed the problem of how to explain the appearance of countable particles in continuous fields1. Stable localized field configurations were searched for an ingredient for a general field theory of elementary particles, but the majority of nonlinear field models were unable to predict them. As an exception, Skyrme succeeded in describing nuclear particles as localized states, so-called ‘skyrmions’2. Skyrmions are a characteristic of nonlinear continuum models ranging from microscopic to cosmological scales3,4,5,6. Skyrmionic states have been found under non-equilibrium conditions, or when stabilized by external fields or the proliferation of topological defects. Examples are Turing patterns in classical liquids7, spin textures in quantum Hall magnets8, or the blue phases in liquid crystals9. However, it has generally been assumed that skyrmions cannot form spontaneous ground states, such as ferromagnetic or antiferromagnetic order, in magnetic materials. Here, we show theoretically that this assumption is wrong and that skyrmion textures may form spontaneously in condensed-matter systems with chiral interactions without the assistance of external fields or the proliferation of defects. We show this within a phenomenological continuum model based on a few material-specific parameters that can be determined experimentally. Our model has a condition not considered before: we allow for softened amplitude variations of the magnetization, characteristic of, for instance, metallic magnets. Our model implies that spontaneous skyrmion lattice ground states may exist generally in a large number of materials, notably at surfaces and in thin films, as well as in bulk compounds, where a lack of space inversion symmetry leads to chiral interactions.