Abstract
Magnetic monopoles can appear as emergent structures in a wide range of physical settings, ranging from spin ice to Weyl points in semimetals. Here, a distribution of synthetic (Berry) monopoles in parameter space of a slowly changing external magnetic field is demonstrated in a system of interacting spin-$\frac{1}{2}$ particles with broken spherical symmetry. These monopoles can be found at points where the external field is nonzero. The spin-spin interaction provides a mechanism for splitting the synthetic local magnetic charges until their magnitude reach the smallest allowed value $\frac{1}{2}$. For certain states, a nonzero net charge can be created in an arbitrarily large finite region of parameter space. The monopole field textures contain non-monopolar contributions in the presence of spin-spin interaction.
Highlights
Magnetic monopoles can appear as emergent structures in a wide range of physical settings, ranging from spin ice to Weyl points in semimetals
While magnetic monopoles seem up to this date mysteriously absent as fundamental entities in nature, they may occur as emergent structures in various physical systems
Real-space realizations of such emergent monopoles have been demonstrated in spin ice [1] and Bose-Einstein condensates [2], and in reciprocal space of crystalline systems, e.g., in the context of anomalous Hall effect [3], as well as in the form of Weyl points in semimetals [4] and photonic crystals [5]
Summary
Magnetic monopoles can appear as emergent structures in a wide range of physical settings, ranging from spin ice to Weyl points in semimetals. A nonzero net charge can be created in an arbitrarily large finite region of parameter space. Due to the spherical symmetry of this system, the monopole is forced to the origin of parameter space, where the external magnetic field vanishes. We examine magnetic monopoles in spin systems with broken spherical symmetry.
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