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Quantum critical scaling for a Heisenberg spin-12 chain around saturation

M. Jeong and H. M. Rønnow
Phys. Rev. B 92, 180409(R) – Published 13 November 2015

Abstract

We demonstrate quantum critical scaling for an S=1/2 Heisenberg antiferromagnetic chain compound Cu(C4H4N2)(NO3)2 in a magnetic field around saturation, by analyzing previously reported magnetization [Y. Kono et al., Phys. Rev. Lett. 114, 037202 (2015)], thermal expansion [J. Rohrkamp et al., J. Phys.: Conf. Ser. 200, 012169 (2010)], and NMR relaxation data [H. Kühne et al., Phys. Rev. B 80, 045110 (2009)]. The scaling of magnetization is demonstrated through collapsing the data for a range of both temperature and field onto a single curve without making any assumption for a theoretical form. The data collapse is subsequently shown to closely follow the theoretically predicted scaling function without any adjustable parameters. Experimental boundaries for the quantum critical region could be drawn from the variable range beyond which the scaled data deviate from the theoretical function. Similarly to the magnetization, quantum critical scaling of the thermal expansion is also demonstrated. Further, the spin dynamics probed via NMR relaxation rate 1/T1 close to the saturation is shown to follow the theoretically predicted quantum critical behavior as 1/T1T0.5 persisting up to temperatures as high as kBTJ, where J is the exchange coupling constant.

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  • Received 15 August 2015

DOI:https://doi.org/10.1103/PhysRevB.92.180409

©2015 American Physical Society

Authors & Affiliations

M. Jeong* and H. M. Rønnow

  • Laboratory for Quantum Magnetism, Institute of Condensed Matter Physics (ICMP), Ecole Polytechnique Féderale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland

  • *minki.jeong@gmail.com

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Issue

Vol. 92, Iss. 18 — 1 November 2015

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