Texture-induced spin-orbit coupling and skyrmion-electron bound states in a Néel antiferromagnet
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We derive an effective-mass electron Hamiltonian for a Néel antiferromagnet in the presence of a smooth texture of the staggered magnetization. For certain locations of the electron band extrema, the texture produces a peculiar and anomalously strong spin-orbit coupling of the scale ħv/L, with v the Fermi velocity and L the characteristic length scale of the texture. For a skyrmion texture, this coupling generates electron bound states, whose energy scale is given by the gap Δ in the electron spectrum.
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