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Quantum-critical spin dynamics in a Tomonaga-Luttinger liquid studied with muon-spin relaxation.

Möller, J.S. and Lancaster, T. and Blundell, S.J. and Pratt, F.L. and Baker, P. J. and Xiao, F. and Williams, R.C. and Hayes, W. and Turnbull, M.M. and Landee, C.P. (2017) 'Quantum-critical spin dynamics in a Tomonaga-Luttinger liquid studied with muon-spin relaxation.', Physical review B., 95 (2). 020402(R).


We demonstrate that quantum-critical spin dynamics can be probed in high magnetic fields using muon-spin relaxation (μ+SR). Our model system is the strong-leg spin ladder bis(2,3-dimethylpyridinium) tetrabromocuprate (DIMPY). In the gapless Tomonaga-Luttinger liquid phase we observe finite-temperature scaling of the μ+SR 1/T1 relaxation rate which allows us to determine the Luttinger parameter K. We discuss the benefits and limitations of local probes compared with inelastic neutron scattering.

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Publisher statement:Reprinted with permission from the American Physical Society: Physical Review B 95, 020402(R) © (2017) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Date accepted:12 December 2016
Date deposited:18 January 2017
Date of first online publication:03 January 2017
Date first made open access:18 January 2017

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