Elastic Gauge Fields and Hall Viscosity of Dirac Magnons

Abstract

We analyze the coupling of elastic lattice deformations to the magnon degrees of freedom of magnon Dirac materials. For a Honeycomb ferromagnet we find that, as it happens in the case of graphene, elastic gauge fields appear coupled to the magnon pseudospinors. For deformations that induce constant pseudomagnetic fields, the spectrum around the Dirac nodes splits into pseudoLandau levels. We show that when a Dzyaloshinskii-Moriya interaction is considered, a topological gap opens in the system and a Chern-Simons effective action for the elastic degrees of freedom is generated. Such a term encodes a phonon Hall viscosity response, entirely generated by fluctuations of magnons living in the vicinity of the Dirac points. The magnon Hall viscosity vanishes at zero temperature, and grows as temperature is raised and the states around the Dirac points are increasingly populated.

References in corpus (12)

• Spin current and magneto-electric effect in non-collinear magnets
• Dirac materials
• Observation of the Magnon Hall Effect
• Topological Magnon Insulator in Insulating Ferromagnet
• Chiral anomaly from strain-induced gauge fields in Dirac and Weyl semimetals
• Dirac magnons in honeycomb ferromagnets
• Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
• Magnonic topological insulators in antiferromagnets
• Signature of magnon Nernst effect in an antiferromagnetic insulator
• Magnonic quantum Hall effect and Wiedemann-Franz law
• Hall viscosity, topological states and effective theories
• Chiral anomaly of Weyl magnons in stacked honeycomb ferromagnets

Cited by in corpus (21)

• Topological Magnons: A Review
• Non-Hermitian topology of spontaneous magnon decay
• Topological Phase Transitions of Dirac Magnons in Honeycomb Ferromagnets
• Magnon Landau levels and emergent supersymmetry in strained antiferromagnets
• Chiral sound waves in strained Weyl semimetals
• Strain-induced pseudomagnetic field and quantum oscillations in kagome crystals
• Strain-Induced Topological Magnon Phase Transitions: Applications to Kagome-Lattice Ferromagnets
• Unconventional Thermal Magnon Hall Effect in a Ferromagnetic Topological Insulator
• Hall viscosity for optical phonons
• Twist-induced magnon Landau levels in honeycomb magnets
• Magnon quantum anomalies in Weyl ferromagnets
• Analytic solution to pseudo-Landau levels in strongly bent graphene nanoribbons
• Topological Magnon Insulator with a Kekule Bond Modulation
• Magnonic Floquet Hofstadter Butterfly
• Quantum Monte Carlo study of honeycomb antiferromagnets under a triaxial strain
• Acousto-magnonic spin Hall effect in honeycomb antiferromagnets
• Time-dependent strain-tuning topological magnon phase transition
• The type II Weyl semimetals at low temperatures: chiral anomaly, elastic deformations, zero sound
• Pseudo Landau levels, negative strain resistivity, and enhanced thermopower in twisted graphene nanoribbons
• Bose-Einstein condensate of Dirac magnons: Pumping and collective modes
• Transport of Dirac magnons driven by gauge fields