Skyrmion Crystals in the Triangular Kondo Lattice Model

Abstract

We present a systematic study of the formation of skyrmion crystals in a triangular Kondo Lattice model for generic electron filling fractions. Our results indicate that the four-sublattice chiral antiferromagnetic ordering that was reported more than one decade ago can be understood as the dense limit of a sequence of skyrmion crystals whose lattice parameter is dictated by the Fermi wave-vector. This observation has important implications for the ongoing search of skyrmion crystals in metallic materials with localized magnetic moments.

17 pages, 4 figures

References in corpus (26)

• Spontaneous Skyrmion Ground States in Magnetic Metals
• The Kernel Polynomial Method
• Long wavelength helimagnetic order and skyrmion lattice phase in Cu2OSeO3
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
• Nanometric square skyrmion lattice in a centrosymmetric tetragonal magnet
• Spontaneous skyrmionic lattice from anisotropic symmetric exchange in a Ni-halide monolayer
• Meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets
• Topological spin crystals by itinerant frustration
• Anomalous Hall resistivity and possible topological Hall effect in the EuAl${}_4$ antiferromagnet
• Large topological Hall effect in a geometrically frustrated kagome magnet Fe${}_3$Sn${}_2$
• Unconventional transverse transport above and below the magnetic transition temperature in Weyl semimetal EuCd${}_2$As${}_2$
• Unconventional Topological Hall Effect in Skyrmion Crystals Caused by the Topology of the Lattice
• Novel magnetic orderings in the kagome Kondo-lattice model
• Frustration-induced insulating chiral spin state in itinerant triangular-lattice magnets
• Charge-Density-Wave Order and Multiple Magnetic Transitions in Divalent Europium Compound EuAl${}_4$
• Chiral properties of the zero-field spiral state and field-induced magnetic phases of the itinerant kagome metal YMn${}_6$Sn${}_6$
• Real space Berry curvature of itinerant electron systems with spin-orbit interaction
• Incommensurate magnetic orders and topological Hall effect in the square-net centrosymmetric EuGa${}_2$Al${}_2$ system
• Skyrmion crystal in the RKKY system on the two-dimensional triangular lattice
• Tunable room temperature magnetic skyrmions in centrosymmetric kagome magnet Mn${}_4$Ga${}_2$Sn
• Giant magnetoresistance and topological Hall effect in the EuGa4 antiferromagnet
• Rashba-Zener mechanism for nanoscale skyrmions and topological metals
• New Microscopic Magnetic Hamiltonian for Exotic Spin Textures in Metals
• Giant topological Hall effect in centrosymmetric tetragonal Mn2-xZnxSb
• Coupled spin-charge order in frustrated itinerant triangular magnets

Cited by in corpus (10)

• Tetrahedral triple-Q magnetic ordering and large spontaneous Hall conductivity in the metallic triangular antiferromagnet Co1/3TaS2
• Colloquium: Quantum Properties and Functionalities of Magnetic Skyrmions
• Skyrmion crystals in centrosymmetric triangular magnets under hexagonal and trigonal single-ion anisotropy
• From chiral spin liquids to skyrmion fluids and crystals, and their interplay with itinerant electrons
• Spin dynamics of triple-Q magnetic orderings in a triangular lattice: Implications for multi-Q orderings in general two-dimensional lattices
• Kernel Polynomial Method for Linear Spin Wave Theory
• Tunable chiral and nematic states in the triple-Q antiferromagnet Co${}_{1/3}$TaS${}_2$
• Triangular lattice magnet GdGa${}_2$ with short-period spin cycloids and possible skyrmion phases
• Three-sublattice antiferro-type and ferri-type skyrmion crystals in centrosymmetric magnets
• Quantum Magnetic Skyrmions on Kondo-type Lattices