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Structural and magnetic properties of a quasi-one-dimensional spin-1/2 compound NaVOPO4 are explored by x-ray diffraction, magnetic susceptibility, high-field magnetization, specific heat, electron spin resonance, and 31P nuclear magnetic resonance measurements, as well as complementary ab initio calculations. Whereas magnetic susceptibility of NaVOPO4 may be compatible with the gapless uniform spin chain model, a detailed examination of the crystal structure reveals a weak alternation of the exchange couplings with the alternation ratio α ~ 0.98 and the ensuing zero-field spin gap Δ0/kB ~ 2.4 K directly probed by field-dependent magnetization measurements. No long-range order is observed down to 50 mK in zero-field. However, applied fields above the critical field Hc1 ~1.6 T give rise to a magnetic ordering transition with the phase boundary TN ∝ (H − Hc1 )1/φ, where φ ~1.8 is close to the value expected for Bose-Einstein condensation of triplons. With its weak alternation of the exchange couplings and small spin gap, NaVOPO4 lies close to the quantum critical point.References: [1] P. K. Mukharjee et. al., Phys. Rev. B 100, 144433 (2019) [2] S. Sachdev, Nat. Phys. 4, 173 (2008) [3] Mukhopadhyay et. al, Phys. Rev. Lett. 109, 177206 (2012) [4] Zapf et. al., Rev. Mod. Phys. 84, (2014)

MMM 2020

Bose-Einstein Condensation Of Triplons Close to The Quantum Critical Point in The Quasi-One-Dimensional Spin-1/2 Antiferromagnet NaVOPO4

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Magnetic rogue waves, like ocean rogue waves, are large deviations from equilibrium which are localized in time and space. They can be created in thin magnetic films by a time-reversal process consisting of a recording step and a reconstruction step. During the recording step, an initial rogue wave is allowed to decay and the microwave fields at various sites are recorded. In reconstruction step, these fields are played backwards in time at the recording sites, ultimately recreating the initial rogue wave as seen in Fig. 1. This technique gives the ability to control the magnitude and position of the rogue waves, which may make them suitable for application in spin wave logic devices and for encryption and secure communications. We study the efficiency of constructing rogue waves. For a Permalloy film which is 30 nm thick, the peak to noise ratio (PNR) of the reconstructed rogue waves can vary by a factor of 5 depending on the location of sensors with respect to the magnetic field. This is caused by the emission of caustic beams as the initial wave evolves in time. The best location is with the sensors perpendicular to the applied field. We also study the relative importance of dipolar and exchange coupling in creating rogue waves. We explore a geometry of a square magnetic film (side length 300 nm) separated from a surrounding magnetic rim by a gap of 10 nm. This gap prevents exchange coupling between the two regions. The initial rogue wave, a small square (25 nm on a side) where the magnetization is raised out of plane by a maximum of 2 degrees, is established in the inner region, but all the recording sensors are in the outer region. It is clear in Fig. 2 that the system in the middle of the recording phase is dominated by short wavelength modes, where exchange is important. However, in the playback, it is the long wavelength dipolar fields which are important in reconstructing the rogue wave.

Theoretical Studies of Dipolar and Exchange Effects in Creating Magnetic Rogue Waves

The effect of Mn doping of a Cr84Re16 alloy are reported, as well as the possible existence of a spin glass (SG) state which were investigated using electrical resistivity and magnetisation measurements. Mn is an electron donor resulting in a concomitant increase in the size of the electron sheet and a subsequent increase in Néel temperature, TN [1]. The temperature dependence of magnetisation, M(T), for the (Cr84Re16)100−xMnx alloys with x = 0.4, 0.6 and 3.1 showed bifurcation of the M(T) data at the pinning temperature, Tp, in the zero field cooled (ZFC) and field cooled (FC) curves. The splitting of the ZFC and FC curves is not in itself a signature of SG but is an indication of magnetic anisotropy in the system [2]. In the (Cr84Re16)100−xMnx alloy system, there is a sharp increase in magnetisation on increasing T after ZFC. A prominent peak is observed close to 40 K above which the behaviour is identical to that observed in the FC state as shown in the figure for the x = 0.4 alloy. Other signatures associated with canonical SG namely the time dependence of isothermal remanent magnetisation (IRM) and the increase of magnetic stiffness upon increasing the wait time in thermoremanent magnetisation (TRM) were also observed in the (Cr84Re16)100−xMnx alloys [3]. The frequency dependence of the real component of AC-susceptibility shows the SG characteristic cusp close to Tp [4]. However, there is no dependence of the maximum value of cusp or the temperature corresponding to the cusp on frequency which is contrary to the SG state [5]. As only some of the SG signatures were observed in the (Cr84Re16)100−xMnx alloy system, it cannot be categorised as canonical SG. These alloys can be classified as a new type of SG with frustration of itinerant spins at the interfaces between antiferromagnetic (AFM) domains established around each Mn local magnetic moment.References: [1] E. Fawcett, H.L. Alberts, V.Y. Galkin, D.R. Noakes and J.V. Yakhmi, Rev. Mod. Phys., Vol. 66, p.25 (1994) [2] P.A. Joy, P.S. Anil Kumar and S.K. Date, J. Phys. Condens. Matter., Vol. 10, p.11049 (1998) [3] B. Li, H.L. Alberts, A.M. Strydom, B.M. Wu, A.R.E. Prinsloo and Zh.J. Chen, J. Magn. Magn. Mater., Vol. 321, p.61 (2009) [4] C.A.M. Mulder, A.J. Van Duyneveldt and J.A. Mydosh, Phys. Rev. B., Vol. 25, p.515 (1982) [5] J.A. Mydosh, “Spin glasses: an experimental introduction”, Taylor and Francis, London (1993)

Spin Glass Behaviour in (Cr84Re16)100−xMnx Alloys

Authors: A. Solyom, M. Caouette-Mansour, B. Ruffolo, L. Childress, J. Sankey, Physics, McGill University, Montreal, Quebec, CANADA|P.M. Braganca, Western Digital Corp, San Jose, California, UNITED STATES|M. Pioro-Ladrière, Institut Quantique and Département de Physique, Universite de Sherbrooke, Sherbrooke, Quebec, CANADA|M. Pioro-Ladrière, Quantum Information Science Program, Canadian Institute for Advanced Research, Toronto, Ontario, CANADA|

Abstract Body: We discuss our latest efforts toward using a single, optically active nitrogen-vacancy (NV) spin sensor (implanted in a single-crystal diamond substrate) to measure magnetic thermal noise modified by spin Hall torques [1] in a Py/Pt nanowire [2]. In this poster, we first present our subtractive method for fabricating magnetic nanocircuits on diamond, and initial characterization of working Py(5 nm)/Pt(5 nm) nanowires. We reliably achieve contacts with few-ohms of resistance and 200 nm of overlap at each end of the 2-μm-long, 400-nm-wide wire, and we observe an anisotropic magnetoresistance of 0.4%. Importantly, we observe that the subtractive patterning process (masked ion milling) used to define the devices reduces the NV spin resonance contrast by a factor of ∼5, but that subsequent exposure to an oxygen plasma returned the contrast to its nominal level without affecting the nanowire behavior. Finally, we present progress toward using transport measurements to estimate thermal time scales in these systems (while calibrating the RF current in the nanowire), as well as preliminary NV readout of spin-transfer-controlled magnetic thermal noise.References: [1] C. Du, T. van der Sar, et al., Science, 357, 195-198 (2017) [2] A. Solyom, Z. Flansberry, et al., Nano Lett., 18, 6494-6499 (2018)

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Bose-Einstein Condensation Of Triplons Close to The Quantum Critical Point in The Quasi-One-Dimensional Spin-1/2 Antiferromagnet NaVOPO4

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Theoretical Studies of Dipolar and Exchange Effects in Creating Magnetic Rogue Waves

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