Elastic constants and ultrasound attenuation in the spin-liquid phase of Cs${}_2$CuCl${}_4$

Abstract

The spin excitations in the spin-liquid phase of the anisotropic triangular lattice quantum antiferromagnet Cs${}_2$CuCl${}_4$ have been shown to propagate dominantly along the crystallographic $b$ axis. To test this dimensional reduction scenario, we have performed ultrasound experiments in the spin-liquid phase of Cs${}_2$CuCl${}_4$ probing the elastic constant $c_{22}$ and the sound attenuation along the $b$ axis as a function of an external magnetic field along the $a$ axis. We show that our data can be quantitatively explained within the framework of a nearest-neighbor spin-$1/2$ Heisenberg chain, where fermions are introduced via the Jordan-Wigner transformation and the spin-phonon interaction arises from the usual exchange-striction mechanism.

5 pages, 5 figures; minor corrections of some factors of $b$

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• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
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Cited by in corpus (2)

• Evidence of one-dimensional magnetic heat transport in the triangular-lattice antiferromagnet Cs${}_2$CuCl${}_4$
• Many-body theory of magneto-elasticity in one dimension