Dynamic magnetic resonance scattering

Herold, Volker; Kampf, Thomas; Jakob, Peter M.

doi:10.1038/s42005-019-0136-6

Cited by 4 publications

(1 citation statement)

References 25 publications

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“…Therefore, we suggest here two alternative ways of accessing the conformal anomaly in spin systems. For example, one can measure the local fluctuations G(0, t) by NMR with a local probe [33,34], AFM [35] or µSR [36] to obtain the local dynamical structure factor Γ(ω) = G β0 (x, t; x, 0)e iωt dt. It is related to Q(k, ω) by a momentum integration Γ(ω) = dkQ(k, ω).…”

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confidence: 99%

Conformal anomaly in magnetic finite temperature response of strongly interacting one-dimensional spin systems

Northe¹,

Zhang²,

Wawrzyńczak³

et al. 2022

Preprint

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The conformal anomaly indicates the breaking of conformal symmetry (angle-preserving transformations) in the quantum theory by quantum fluctuations and is a close cousin of the gravitational anomaly. We show, for the first time, that the conformal anomaly controls the variance of the local magnetization M loc at finite temperatures in spin chains and spin ladders. This effect is perceived at constant and variable temperature across the sample. The change of M loc induced by the conformal anomaly is of the order of 3-5% of the maximal spin at one Kelvin for DIMPY or CuPzN and increases linearly with temperature. Further, for a temperature gradient of 10% across the sample, the time-relaxation of the non-equilibrium M loc is of the order of nanoseconds. Thus, we believe that experimental techniques such as neutron scattering, nuclear magnetic resonance (NMR), spin noise and ultrafast laser pumping should pinpoint the presence of the conformal anomaly. Therefore, we pave the road to detect the conformal anomaly in spin observables of strongly interacting low-dimensional magnets.

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confidence: 99%