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z=2 Quantum Critical Dynamics in a Spin Ladder

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arxiv 1806.10392 v2 pith:PCAQT6R7 submitted 2018-06-27 cond-mat.str-el

z=2 Quantum Critical Dynamics in a Spin Ladder

classification cond-mat.str-el
keywords quantumcriticalladderspindynamicsnearobservepoint
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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By means of inelastic neutron scattering we investigate finite temperature dynamics in the quantum spin ladder compound (C$_5$H$_{12}$N)$_2$CuBr$_4$ (BPCB) near the magnetic field induced quantum critical point with dynamical exponent $z=2$. We observe universal finite-temperature scaling of the transverse local dynamic structure factor in spectacular quantitative agreement with long-standing theoretical predictions. At the same time, already at rather low temperatures, we observe strong non-universal longitudinal fluctuations. To separate the two, we make use of an intrinsic leg-exchange symmetry of the spin ladder. Complementary measurements of specific heat also reveal striking scaling behavior near the quantum critical point.

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  1. Sound attenuation and velocity shift in antiferromagnetic spin-1/2 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.