Spin colossal magnetoresistance in an antiferromagnetic insulator
Colossal magnetoresistance (CMR) refers to a large change in electrical conductivity induced by a magnetic field in the vicinity of a metal-insulator transition and has inspired extensive studies for decades[1, 2]. Here we demonstrate an analogous spin effect near the Néel temperature =296 K of the antiferromagnetic insulator CrO. Using a yttrium iron garnet YIG/CrO/Pt trilayer, we injected a spin current from the YIG into the CrO layer, and collected via the inverse spin Hall effect the signal transmitted in the heavy metal Pt. We observed a change by two orders of magnitude in the transmitted spin current within 14 K of the Néel temperature. This transition between spin conducting and nonconducting states could be also modulated by a magnetic field in isothermal conditions. This effect, that we term spin colossal magnetoresistance (SCMR), has the potential to simplify the design of fundamental spintronics components, for instance enabling the realization of spin current switches or spin-current based memories.
Institute for Materials Research, Tohoku University, Sendai 980-8577, Japan
Key Laboratory of Materials Modification by Laser, Ion, and Electron Beams (Ministry of Education), School of Materials Science and Engineering, Dalian University of Technology, Dalian 116024, China
WPI Advanced Institute for Materials Research, Tohoku University, Sendai 980-8577, Japan
Institut für Physik, Johannes Gutenberg Universität Mainz, D-55128, Mainz
Department of Physics and Astronomy, The University of Alabama, AL 35487, USA and Centre of Materials for Information Technology, The University of Alabama, AL 35401, USA
Advanced Science Research Center, Japan Atomic Energy Agency, Tokai 319-1195, Japan
(Present address) Department of applied physics, The University of Tokyo, Tokyo 113-8656, Japan
Spin current is a flow of spin angular momentum sharing many analogues with electric currents. Spin currents can be carried not only by migrating electrons, but also by magnetic quasi-particles such as magnons or spin waves[3, 4]. These magnetic excitations are of particular interest in the spintronics community because they allow a spin current to flow in electrical insulators where charge currents cannot[5, 6, 7, 8, 9]. Thus, insulator spintronics may provide a route towards low power devices where spin currents carry signals and encode information. However, it is not straightforward to create all spintronic components which are analogous to their electronic counterparts. For example, a basic spin-current on-off switch has not been demonstrated in insulator spintronics. The difficulty lies in the lack of a simple mechanism to directly gate the carrier density in magnetic insulators. Nevertheless, some clues may be obtained from colossal magnetoresistance (CMR) occurring in materials which exhibit metal-insulator transitions, where a large modulation of charge conductivity can be induced by a magnetic field[1, 2] (Fig.1 1a). Spin conductivity may be tunable in systems with a spin conducting-nonconducting transition (Fig.1 1b).
In this Letter, we report such a ‘conductor-nonconductor transition’ for spin currents in the uniaxial antiferromagnetic insulator CrO [11, 12, 13]. We found that CrO does not conduct spin currents below the Néel temperature, but abruptly becomes a good spin conductor above this temperature. Furthermore, in the vicinity of the transition, the spin-current transmission can be modulated by up to 500% with a T magnetic field: spin colossal magnetoresistance (SCMR). The active transport element is spin angular momentum rather than electrical charge.
The spin-current transmission in CrO was studied by using a trilayer device, sandwiching a CrO thin film between a magnetic insulator yttrium iron garnet (YIG) and a heavy metal Pt layer (Fig. 2a). Here, YIG serves as a spin-current source. By using a temperature gradient, , along the out-of-plane direction , the spin Seebeck effect (SSE)[6, 14] generates a spin accumulation at the interface of YIG/CrO, which drives a spin current () into the CrO layer. Spin currents, transmitted through the CrO layer to the Pt interface (), are converted into a measurable voltage via the inverse spin Hall effect (ISHE).
We define the spin-current transmissivity , describing the relative amount of spin-current incident on the YIG/CrO interface which is transmitted to the CrO/Pt interface. We ignore the effect of the spin accumulation at the YIG/CrO interface on , which will a be justified as the data are well explained solely by the intrinsic properties of the CrO. The spin current entering the CrO, , flows along and is polarized along , where is the magnetization of the YIG layer which can be easily manipulated by the external magnetic field . The ISHE voltage measured in the Pt layer is thus
where is the unit vector along the axis. can be roughly estimated by the SSE signal in the YIG/Pt device in which the CrO thickness is zero and the SSE signal in YIG/CrO/Pt devices yields [16, 17]. Therefore, the spin-current transmissivity can be estimated from and (Eq.1).
Figures 2c and 2d show the field dependence of the measured voltage for a YIG/Pt bilayer and the YIG/CrO/Pt trilayer. In both samples—with and without a CrO layer—the sign of reverses with the sign of , and the shape of the - curves agree with the - (hysteresis) curve of the YIG film[18, 19, 20]. This confirms that the measured voltage in the YIG/CrO/Pt trilayer device is induced by the thermal spin currents generated from the YIG.
First, we show a steep conductor-nonconductor transition for spin currents in CrO. Figure 2e shows the temperature dependence of the SSE voltage ( T) for the YIG/CrO/Pt trilayer device. Surprisingly, the voltage exhibits an abrupt change of more than around 290 K. Above this temperature, a voltage with a peak of 500 nV appears at K. When 282 K, is close to the noise floor 5 nV (Fig. 2e). By contrast, in the YIG/Pt bilayer device, varies little across the same temperature range (Fig. 2f), indicating is nearly constant. This equivalently means that the spin-current transmissivity of CrO changes more than around 290 K, which is calculated according to Eq.1 and plotted in the supplementary Fig. 2c.
We attribute the abrupt change of in the YIG/CrO/Pt device to the change in the spin-current transmissivity of the CrO layer, marking the transition of the CrO layer from a spin conductor to a spin nonconductor at 296 K. This critical temperature coincides with the Néel temperature of the CrO thin film[22, 23], and we associate the change in spin-current transmissivity with the onset of magnetic order. We found a similar spin conductor-nonconductor transition in a spin pumping measurement for devices with the same YIG/CrO/Pt structure as shown in Fig. 2g (also refer to supplementary Note 1), demonstrating that the spin conductor-nonconductor transition in CrO does not depend on the method of spin current generation. We also ruled out magnetic interface effects between the exchanged coupled YIG and CrO (such as exchange bias or spin reorientation transitions) causing the large change of . Using a control sample with a 5-nm Cu layer (a nonmagnetic metal but good spin conductor) inserted between the YIG and CrO layers, we observed results similar to that in the YIG/CrO/Pt trilayer (Fig. 2h, also refer to supplementary Note 2). By measuring the for a CrO/Pt bilayer, we also confirmed that comes from spin current generated in the YIG and transmitted through the CrO, rather than by spin current originating within CrO (Fig. 2h, also refer to supplementary Note 2).
Having established the spin conductor-nonconductor transition, we show that the spin-current transmissivity of CrO has an anisotropic response to magnetic fields in the critical region of the magnetic transition. The spin-current transmissivity of CrO depends not only on the magnitude but also on the direction of the magnetic field. By using the SSE and ISHE as sources and probes of spin currents, within the critical region we measured the dependence of on the magnetic field magnitude and angle in the - plane as illustrated in Fig. 3a.
Figure 3b shows the dependence of on the angle at different magnetic field magnitudes. At 296 K (in the spin conducting regime), shows a sinusoidal change with respect to , the same as the relative angle between the YIG magnetization and as expected from Eq. (1). The magnitude of changes only slightly from 0.5 T to 2.5 T. Similar behaviour is observed for 296 K, indicating that depends only weakly on or in the spin conductor regime. However, at 296 K, starts to deviate from this dependence. As the temperature decreases further, the character of () changes completely. The maximum amplitude of no longer resides at = but peaks four times through the rotation (,). also becomes strongly dependent on . Thus, (, ) depends on both and in the critical region.
Figure 3c shows the temperature dependence of at 20, where the dependence is the most pronounced. The temperature dependence of is qualitatively similar for all field strengths, featuring a sharp transition between the spin nonconductor and conductor regimes. However, the transition edge of shifts to lower temperatures for stronger magnetic fields. Taking as a reference, 500% modulation of is achieved with a T field (Fig. 3d).
Above the Néel temperature, the paramagnetic moments of CrO follow the external magnetic field and spin current is carried by correlations of the paramagnetic moments as has been reported previously [24, 16, 9].
Below the Néel temperature—in the ordered antiferromagnetic phase—the propagation of the spin current is in principle determined by the thermal population of magnons, the magnon mean free path and the magnon gap. However, the magnon gap is approximately 10 K, therefore this description by itself cannot lead to the sharp transition observed at the Néel point. In other words, the nonconducting regime cannot be caused by magnon freezing. Rather, it is caused by the anisotropic transmissivity of the antiferromagnet in combination with the device geometry.
Only the spin component which is parallel (or antiparallel) to the Néel vector can be carried by magnons. Below the Néel temperature, due to the strong uniaxial anisotropy, Néel vector of CrO is pinned to the easy axis (out of plane in this work). When the YIG magnetization is in the plane of the film, the spins are polarized perpendicularly to the CrO Néel vector and the spin current cannot be transmitted into the CrO. When the YIG magnetization is out of the plane, the spin current can be transmitted but the device geometry prohibits the generation of an ISHE voltage. Furthermore, the strength of the anisotropy in CrO is almost independent of temperature, collapsing to zero only very close to the Néel temperature. Therefore, the CrO is strongly aligned perpendicular to the plane for almost the entire temperature range and no spin current can be transmitted. This small temperature window where the anisotropy decreases corresponds with the increase in ISHE voltage.
In the region just below the Néel temperature, where the anisotropy is reducing, the transmissivity can be manipulated with the applied field. The enhanced susceptibility and reduced anisotropy in this small temperature window allows the Néel vector to be slightly rotated, giving a finite -component (in the plane) on to which the spin current is projected[13, 12]. The field induced Néel vector and magnetization -components of the antiferromagnet (Fig. 3e) are
respectively. is the saturation magnetization of the antiferromagnetic sublattices, is the exchange field between the sublattices, and is the uniaxial anisotropy field. The equation is based on a zero-temperature theory but by allowing the temperature dependence of and , it appears to be a good approximation even up to the Néel temperature. At temperatures much below the Néel temperature, the field required to manipulate the Néel vector is approximately T . But, when drops in the transition window, much smaller fields (smaller than the spin flop field) can manipulate the Néel vector.
Under the assumption that spin transport is possible only for angular momentum along the Néel vector and in the linear dynamics regime, we phenomenologically obtain the angular dependence of the ISHE voltage as
In summary, we report the occurrence of the spin conductor-nonconductor transition and the field induced modulation of spin-current transmissivity in CrO, which is reminiscent of the CMR in electronics. We attribute this ‘colossal’ modulation of spin current to the combination of the anisotropic spin current transmission of the antiferromagnet and the device geometry, which is correlated to the Néel vector and anisotropy of CrO. The SCMR may also be observed in other antiferromagnetic materials in which the Néel vector responds to magnetic fields. It may therefore be possible to create devices which switch between the spin insulating and conducting states—but in response to a completely different stimulus. For example switching the antiferromagnet between perpendicular states electrically.
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This work was supported by JST-ERATO ‘Spin Quantum Rectification’, JST-PRESTO ‘Phase Interfaces for Highly Efficient Energy Utilization’, Grant-in-Aid for Scientific Research on Innovative Area, ‘Nano Spin Conversion Science’ (26103005 and 26103006), Grant-in-Aid for Scientific Research (S) (25220910), Grant-in-Aid for Scientific Research (A) (25247056 and 15H02012), Grant-in-Aid for Challenging Exploratory Research (26600067), Grant-in-Aid for Research Activity Start-up (25889003), and World Premier International Research Center Initiative (WPI), all from MEXT, Japan, ZQ acknowledges support from ”the Fundamental Research Funds for the Central Universities (DUT17RC(3)073)”. DH acknowledges support from Grant-in-Aid for young scientists (B) (JP17K14331), JB acknowledges supports from the Graduate Program in Spintronics, Tohoku University, and Grand-in-Aid for Young Scientists (B) (17K14102). KY and OG acknowledge support from Humboldt Foundation and EU ERC Advanced Grant No. 268066. KY acknowledges the Transregional Collaborative Research Center (SFB/TRR) 173 SPIN+X and DAAD project ”MaHoJeRo”. O.G. acknowledge the EU FET Open RIA Grant no. 766566 and the DFG (project SHARP 397322108).
Z.Q. and D.H. designed the experiment, Z.Q. fabricated the samples and collected all of the data. Z.Q., D.H., J.B. and K.Y. analyzed the data. J.B., K.Y. and O.G. contribute theoretical discussions. E.S. supervised this study. All the authors discussed the results and prepared the manuscript.
The authors declare that they have no competing financial interests.
Correspondence and requests for materials should be addressed to D.H. (email: firstname.lastname@example.org).
.1 Preparation of YIG/CrO/Pt samples.
We grew a 3 m-thick single-crystalline YIG film on a (111) GdGaO wafer by liquid phase epitaxy method at 1203 K in PbO-BO based flux. We cut a single wafer into 1.5 mm3 mm in size. A 12 nm-thick CrO film is grown on top of the YIG film by pulsed laser deposition at 673 K and subsequently annealed at 1073 K for 30 min to obtain continuous films and improve the crystallinity. 10 nm-thick Pt films were then grown on the top of the CrO by RF magnetron sputtering.
.2 Sample characterization.
Crystallographic characterization for the samples was carried out by X-ray diffractometry and transmission electron microscopy (TEM). The obtained TEM image shows that the YIG film is of a single-crystal structure, and the easy axis (-axis) of the hexagonal CrO grown on the top of the YIG is along the out-of-plane direction (Fig. 2b).
.3 Spin Seebeck experimental set-up.
We performed spin Seebeck measurements in a vector magnet system (Oxford instruments inc). We set the samples on a wave guide and heated the Pt layer by using a pulsed microwave (8 GHz, 1 W), which creates a temperature gradient as shown in Fig. 2a. We measured the voltage signal between the ends of the Pt layer using a lock-in amplifier.
The data that support the findings of this study are available from the authors on reasonable request, see author contributions for specific data sets.
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