Nuclear Magnetic Resonance Reveals Disordered Level-Crossing Physics in the Bose-Glass Regime of the Br-doped Ni(Cl$_{1-x}$Br$_x$)$_2$-4SC(NH$_2$)$_2$ Compound at a High Magnetic Field
Anna Orlova, R\'emi Blinder, Edwin Kermarrec, Maxime Dupont, Nicolas, Laflorencie, Sylvain Capponi, Hadrien Mayaffre, Claude Berthier, Armando, Paduan-Filho, Mladen Horvati\'c

TL;DR
This study uses NMR to investigate the disordered Bose-glass phase in Br-doped Ni-based compound under high magnetic fields, revealing impurity-induced level crossing phenomena and providing microscopic insights into Bose-glass physics.
Contribution
It introduces a detailed NMR analysis of impurity states and level crossings in the Bose-glass regime of a doped quantum magnet, advancing understanding of disorder effects.
Findings
Identification of a doping-independent spin fluctuation peak at 13.6 T
Characterization of impurity states near doped Br atoms
Quantitative agreement with a microscopic theoretical model
Abstract
By measuring the nuclear magnetic resonance (NMR) 1/T_1 relaxation rate in the Br (bond) doped DTN compound, Ni(Cl(1-x)Br_x)2-4SC(NH2)2 (DTNX), we show that the low-energy spin dynamics of its high magnetic field "Bose-glass" regime is dominated by a strong peak of spin fluctuations found at the nearly doping-independent position H* = 13.6 T. From its temperature and field dependence we conclude that this corresponds to a level crossing of the energy levels related to the doping-induced impurity states. Observation of the local NMR signal from the spin adjacent to the doped Br allowed us to fully characterize this impurity state. We have thus quantified a microscopic theoretical model that paves the way to better understanding of the Bose-glass physics in DTNX, as revealed in the related theoretical study [M. Dupont, S. Capponi, and N. Laflorencie, Phys. Rev. Lett. 118, 067204 (2017),…
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