Abstract
We study the resonant inelastic x-ray scattering (RIXS) features of vector chiral ordered kagome antiferromagnets. Utilizing a group theoretical formalism that respects lattice site symmetry, we calculated the L-edge magnon contribution for the vesignieite compound BaCu3V2O8(OH)2. We show that polarization dependence of the L-edge RIXS spectrum can be used to track magnon branches. We predict a non-zero L-edge signal in the non-cross π−π polarization channel. At the K-edge, we derived the two-site effective RIXS and Raman scattering operator for two-magnon excitation in vesignieite using the Shastry–Shraiman formalism. Our derivation considers spin-orbit coupling effects in virtual hopping processes. We find vector chiral correlation (four-spin) contribution that is proportional to the RIXS spectrum. Our scattering operator formalism can be applied to a host of non-collinear non-coplanar magnetic materials at both the L and K-edge. We demonstrate that vector chiral correlations can be accessed by RIXS experiments.
Highlights
Chirality and magnetism can have an intimate relationship[1,2,3,4]
At the K-edge, we explicitly considered spin-orbit coupling in the Shastry–Shraiman formalism to derive the twosite effective RIXS-scattering operator for the two-magnon excitation
We propose that the vector chiral correlation functions can be accessed by current L and K-edge RIXS experiments
Summary
In geometrically frustrated spin systems[5], magnetic materials can harbor degenerate ground states[6]. Vector spin chirality, which can act as an order parameter, is defined as κij = Si × Sj where Si and Sj denote spins on lattice sites i and j. It signifies the rotational (clockwise or counterclockwise) sense of the non-collinear spin arrangement around a plaquette on the lattice. It is worth noting that the chiral universality class has been proposed to characterize the nature of magnetic phase transition in a geometrically frustrated material[11]. The recommended phase transition classification scheme is different from an unfrustrated magnet, which is known to be in the O(n) universality class
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