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Electron spin resonance for detecting long-range spin nematic orders | | Shunsuke C. Furuya
; Tsutomu Momoi
; | | Date: |
27 Jul 2017 | | Abstract: | Spin nematic phase is a quantum magnetic phase characterized by a quadrupolar
order parameter. Since the quadrupole operators are directly coupled to neither
the magnetic field nor the neutron, currently, it is an important issue to
develop a method for detecting the long-range spin nematic order. In this paper
we propose that electron spin resonance (ESR) measurements enable us to detect
the long-range spin nematic order. We show that the frequency of the
paramagnetic resonance peak in the ESR spectrum is shifted by the
ferroquadrupolar order parameter together with other quantities. The
ferroquadrupolar order parameter is extractable from the angular dependence of
the frequency shift. In contrast, the antiferroquadrupolar order parameter is
usually invisible in the frequency shift. Instead, the long-range
antiferroquadrupolar order yields a characteristic resonance peak in the ESR
spectrum, which we call a magnon-pair resonance peak. This resonance
corresponds to the excitation of the bound magnon pair at the wave vector
$mathbf k=mathbf 0$. Reflecting the condensation of bound magnon pairs, the
field dependence of the magnon-pair resonance frequency shows a singular upturn
at the saturation field. Moreover, the intensity of the magnon-pair resonance
peak shows a characteristic angular dependence and it vanishes when the
magnetic field is parallel to one of the axes that diagonalize the $g$ tensor.
We confirm these general properties of the magnon-pair resonance peak in the
spin nematic phase by taking an example of an $S=1$ bilinear-biquadratic model
on the square lattice. Applications to the $S=1/2$ frustrated ferromagnets and
the $S=1/2$ orthogonal dimer spin system are also discussed. | | Source: | arXiv, 1707.8784 | | Services: | Forum | Review | PDF | Favorites | |
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