Abstract
Lattice deformation resulting from elastic strain is known to spatially modulate the wave function overlap of the atoms on the lattice and can drastically alter the properties of the quasiparticles. Here we elaborate that a twist lattice deformation in two-dimensional honeycomb quantum magnet nanoribbons is equivalent to an elastic gauge field giving rise to magnon Landau quantization. When the ground state is ferromagnetic, dispersive Dirac-Landau levels are induced in the center of magnon bands, while for antiferromagnetic nanoribbons, the twist results in dispersive equidistant Landau levels at the top of magnon bands. The dispersions for both types of Landau levels are derived in the framework of the band theory.
Highlights
Strain engineering is a powerful tool in tuning properties of quantum matter, such as spin transport [1,2], thermal conductivity [3,4], and quantum anomaly [5]
Perhaps the most investigated and best understood strain effects are those associated with the Dirac matter, where strain is famously equivalent to an elastic gauge field [15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33]
Though first theoretically proposed [15] and experimentally implemented [16] in graphene, the elastic gauge field in graphene and other two-dimensional Dirac materials resulting from experimentally available simple strain such as bending [34,35,36] or twisting [37] is not uniform, causing difficulty in acquiring the band structure of the straininduced Landau levels (LLs)
Summary
Strain engineering is a powerful tool in tuning properties of quantum matter, such as spin transport [1,2], thermal conductivity [3,4], and quantum anomaly [5]. Though first theoretically proposed [15] and experimentally implemented [16] in graphene, the elastic gauge field in graphene and other two-dimensional Dirac materials resulting from experimentally available simple strain such as bending [34,35,36] or twisting [37] is not uniform, causing difficulty in acquiring the band structure of the straininduced Landau levels (LLs). We demonstrate that the effect of such a strain is to produce a spatially inhomogeneous elastic gauge field relocating the Dirac cones. We illustrate our method by analyzing the magnon bands of honeycomb quantum magnet nanoribbons under an experimentally available twist lattice deformation and find the dispersions of the strain-induced Dirac-Landau levels (DLLs) and equidistant Landau levels (eLLs) in ferromagnetic (FM) and antiferromagnetic (AF) nanoribbons, respectively. Appendix C details the recipe to find the AF magnon spectrum
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