Tomonaga-Luttinger liquid spin dynamics in the quasi-one dimensional Ising-like antiferromagnet BaCo$_2$V$_2$O$_8$

B\'eatrice Grenier; Christian R\"uegg; Gregory S. Tucker; Jonathan S. White; Martin M{\aa}nsson; Pascal Lejay; Quentin Faure; Shintaro Takayoshi; Sylvain Petit; Thierry Giamarchi

Tomonaga-Luttinger liquid spin dynamics in the quasi-one dimensional Ising-like antiferromagnet BaCo₂V₂O₈

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arxiv 1903.04173 v1 pith:FY7TTOJ2 submitted 2019-03-11 cond-mat.str-el

Tomonaga-Luttinger liquid spin dynamics in the quasi-one dimensional Ising-like antiferromagnet BaCo₂V₂O₈

Quentin Faure , Shintaro Takayoshi , Virginie Simonet , B\'eatrice Grenier , Martin M{\aa}nsson , Jonathan S. White , Gregory S. Tucker , Christian R\"uegg

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Pascal Lejay Thierry Giamarchi Sylvain Petit

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keywords antiferromagnetfieldlongitudinalquantumspindimensionaldynamicsising-like

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Combining inelastic neutron scattering and numerical simulations, we study the quasi-one dimensional Ising anisotropic quantum antiferromagnet \bacovo\ in a longitudinal magnetic field. This material shows a quantum phase transition from a N\'eel ordered phase at zero field to a longitudinal incommensurate spin density wave at a critical magnetic field of 3.8 T. Concomitantly the excitation gap almost closes and a fundamental reconfiguration of the spin dynamics occurs. These experimental results are well described by the universal Tomonaga-Luttinger liquid theory developed for interacting spinless fermions in one dimension. We especially observe the rise of mainly longitudinal excitations, a hallmark of the unconventional low-field regime in Ising-like quantum antiferromagnet chains.

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In a spin-1/2 XXZ chain, the sound-velocity shift is determined by derivatives of the spin-chain free energy, and ultrasound attenuation obeys a universal T^3 f(uk/T) scaling in the Luttinger-liquid regime.