Anomalous Fermi liquid phase in metallic Skyrmion crystals

Abstract

In non-centrosymmetric crystals such as MnSi, magnetic order can take the form of a skyrmion crystal (SkX) . In this phase, conduction electrons coupled to the local magnetic moments acquire a Berry's phase, leading to an emergent electromagnetism. Motivated by experimental reports of a non-Fermi liquid phase in MnSi, in which resistivity is observed to scale as $\Delta \rho \sim T^{3/2}$, here we examine the effect of coupling phonons of an incommensurate SkX to electrons. Despite the formal similarity to a system consisting of a Fermi surface coupled to an electromagnetic field, the Berry phase fluctuations do not lead to non-Fermi liquid behavior. Instead, we propose a different mechanism in which electrons scatter off columnar fluctuation in a three-dimensional SkX. When the effects of lattice induced anisotropy are neglected, these fluctuations are ultra-soft and induce an `anomalous Fermi liquid' in which Landau quasiparticles survive but with an anomalous $\Delta \rho (T)\sim T^{7/4}$ resistivity perpendicular to the columns, and a Fermi liquid resistivity along them.

9 pages, 4 figures; v3: published version

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Cited by in corpus (10)

• Enhanced Stability of Skyrmions in Two-Dimensional Chiral Magnets with Rashba Spin-Orbit Coupling
• Stability of skyrmion lattices and symmetries of quasi-two-dimensional chiral magnets
• Counting Rules of Nambu-Goldstone Modes
• Criterion for stability of Goldstone Modes and Fermi Liquid behavior in a metal with broken symmetry
• Band structure of helimagnons in MnSi resolved by inelastic neutron scattering
• Electric transport in three-dimensional Skyrmion/monopole crystal
• Transport Theory of Metallic B20 Helimagnets
• Kaon Condensation in Baryonic Fermi Liquid at High Density
• Generic non-Fermi-liquid behavior of the resistivity in magnets with ferromagnetic, helical, or skyrmionic order
• Non-Fermi Liquids from Subsystem Symmetry Breaking in van der Waals Multilayers