Abstract

Large-scale ordering of nonelementary mesoscopic magnetic structures is both fundamentally fascinating and technologically relevant. A theoretical study of frustrated quantum magnets predicts the emergence of a new class of stable magnetic vortex crystals under general conditions.

Highlights

  • The emergence of topological spin textures in solids triggered an enormous interest because of their relevance for spin-electronic technology

  • Outstanding examples are the crystals of magnetic skyrmions that were recently discovered in noncentrosymmetric magnets with the B20 structure MX (M is a transition metal and X 1⁄4 Si, Ge) [1,2,3] and in a Mott insulator Cu2OSeO3 [4,5,6,7,8,9]

  • Mott insulators allow for energetically more efficient manipulations of the skyrmion crystals because these spin textures induce a spatial modulation of electric dipole moments that can be driven by electric-field gradients [5,9]

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Summary

INTRODUCTION

The emergence of topological spin textures in solids triggered an enormous interest because of their relevance for spin-electronic technology. Previous studies of multi-Q condensates in frustrated quantum spin systems, such as triangular lattice antiferromagnets [19,20,21] and helimagnets [22], considered the minimal case where the system has only two different lowest-energy modes k 1⁄4 ÆQ In this situation, the two possible condensates are a single-Q spiral state and a double-Q coplanar state, neither of which is a vortex crystal. We will see that small anisotropy terms dominate interaction effects in the low-density limit, namely, close enough to the quantum critical point (QCP) that divides the magnetically ordered and the paramagnetic phases This effect significantly enlarges the region where a particular type of vortex crystal is stabilized. In addition to the on-site hardcore potential U, triplons are subjected to off-site density-density interactions V1 ∝ J1;p þ J1;x, V2 ∝ J2 þ J3, and V4 ∝ J4;p þ J4;x when they occupy adjacent dimers connected by the hopping paths of t1, t2, and t4, respectively

Ground-state energy
VORTEX CRYSTALS
Dielectric properties and orbital currents
Symmetric exchange anisotropy
Uniaxial anisotropy and the magnetic field tilted from the symmetry axis
CONCLUSIONS
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