Electric transport in three-dimensional Skyrmion/monopole crystal

Abstract

We study theoretically the transport properties of a three-dimensional spin texture made from three orthogonal helices, which is essentially a lattice of monopole-antimonopole pairs connected by Skyrmion strings. This spin structure is proposed for MnGe based on the neutron scattering experiment as well as the Lorentz transmission electron microscopy observation. Equipped with a sophisticated spectral analysis method, we adopt finite temperature Green's function technique to calculate the longitudinal dc electric transport in such system. We consider conduction electrons interacting with spin waves of the topologically nontrivial spin texture, wherein fluctuations of monopolar emergent magnetic field enter. We study in detail the behavior of electric resistivity under the influence of temperature, external magnetic field and a characteristic monopole motion, especially a novel magnetoresistivity effect describing the latest experimental observations in MnGe, wherein a topological phase transition signifying strong correlation is identified.

published version

References in corpus (8)

• Spontaneous Skyrmion Ground States in Magnetic Metals
• Magnetic skyrmion logic gates: conversion, duplication and merging of skyrmions
• Rotating skyrmion lattices by spin torques and field or temperature gradients
• Memory functions of magnetic skyrmions
• Formation of a topological non-Fermi liquid in MnSi
• Theory of helical spin crystals: phases, textures and properties
• Criterion for stability of Goldstone Modes and Fermi Liquid behavior in a metal with broken symmetry
• Logistic growth of skyrmions in 3D chiral magnets

Cited by in corpus (12)

• Theory of magnetic skyrmion glass
• Phase transitions between helices, vortices, and hedgehogs driven by spatial anisotropy in chiral magnets
• Magnetic field-temperature phase diagrams for multiple-$Q$ magnetic orderings: Exact steepest descent approach to long-range interacting spin systems
• Kelvin modes of a skyrmion line in chiral magnets and the associated magnon transport
• Phase degree of freedom and topology in multiple-$Q$ spin textures
• Magnetic Hedgehog Lattice in a Centrosymmetric Cubic Metal
• Emergent skyrmion-based chiral order in zero-field Heisenberg antiferromagnets on the breathing kagome lattice
• Instability and topological robustness of Weyl semimetals against Coulomb interaction
• Topological magnetic structures in MnGe: Neutron diffraction and symmetry analysis
• Hedgehog lattice and field-induced chirality in breathing-pyrochlore Heisenberg antiferromagnets
• Theory of collective excitations in the quadruple-$Q$ magnetic hedgehog lattices
• Numerical Study of Multiple Helical Spin Density Waves and Vortex Spin Structures in Itinerant Electron System