Spin-orbit interaction driven dimerization in one dimensional frustrated magnets

Abstract

We study the effect of spin-orbit interaction on one-dimensional U(1)-invariant frustrated magnets with dominant critical nematic fluctuations. The spin-orbit coupling explicitly breaks the U(1) symmetry of arbitrary global spin rotations about the high-symmetry axis down to $Z_2$ (invariance under a $\pi$-rotation). Given that the nematic order parameter is invariant under a $\pi$-rotation, it is relevant to ask if other discrete symmetries can be spontaneously broken. Here we demonstrate that the spin-orbit coupling induces a bond density wave that spontaneously breaks the translational symmetry and opens a gap in the excitation spectrum.

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Cited by in corpus (3)

• Thermodynamics of a frustrated quantum magnet on a square lattice
• Describing condensed matter from atomically resolved imaging data: from structure to generative and causal models
• The Heisenberg spin-1/2 XXZ chain in the presence of electric and magnetic fields