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Chin. Phys. B, 2020, Vol. 29(11): 117102    DOI: 10.1088/1674-1056/abaed5
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Recent progress on excitation and manipulation of spin-waves in spin Hall nano-oscillators

Liyuan Li(李丽媛)1, Lina Chen(陈丽娜)1,2, †, Ronghua Liu(刘荣华)1,, ‡, and Youwei Du(都有为)1
1 National Laboratory of Solid State Microstructures, School of Physics and Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China
2 New Energy Technology Engineering Laboratory of Jiangsu Provence & School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China

Spin Hall nano oscillator (SHNO), a new type spintronic nano-device, can electrically excite and control spin waves in both nanoscale magnetic metals and insulators with low damping by the spin current due to spin Hall effect and interfacial Rashba effect. Several spin-wave modes have been excited successfully and investigated substantially in SHNOs based on dozens of different ferromagnetic/nonmagnetic (FM/NM) bilayer systems (e.g., FM = Py, [Co/Ni], Fe, CoFeB, Y3Fe5O12; NM = Pt, Ta, W). Here, we will review recent progress about spin-wave excitation and experimental parameters dependent dynamics in SHNOs. The nanogap SHNOs with in-plane magnetization exhibit a nonlinear self-localized bullet soliton localized at the center of the gap between the electrodes and a secondary high-frequency mode which coexists with the primary bullet mode at higher currents. While in the nanogap SHNOs with out of plane magnetization, besides both nonlinear bullet soliton and propagating spin-wave mode are achieved and controlled by varying the external magnetic field and current, the magnetic bubble skyrmion mode also can be excited at a low in-plane magnetic field. These spin-wave modes show thermal-induced mode hopping behavior at high temperature due to the coupling between the modes mediated by thermal magnon mediated scattering. Moreover, thanks to the perpendicular magnetic anisotropy induced effective field, the single coherent mode also can be achieved without applying an external magnetic field. The strong nonlinear effect of spin waves makes SHNOs easy to achieve synchronization with external microwave signals or mutual synchronization between multiple oscillators which improve the coherence and power of oscillation modes significantly. Spin waves in SHNOs with an external free magnetic layer have a wide range of applications from as a nanoscale signal source of low power consumption magnonic devices to spin-based neuromorphic computing systems in the field of artificial intelligence.

Keywords:  spin-orbit torque      spin Hall nano-oscillator      spin-waves      synchronization  
Received:  03 July 2020      Revised:  07 August 2020      Accepted manuscript online:  13 August 2020
Fund: the National Key Research and Development Program of China (Grant No. 2016YFA0300803), the National Natural Science Foundation of China (Grant Nos. 11774150, 12074178, and 12004171), the Applied Basic Research Programs of Science and Technology Commission Foundation of Jiangsu Province, China (Grant No. BK20170627), and the Open Research Fund of Jiangsu Provincial Key Laboratory for Nanotechnology.
Corresponding Authors:  Corresponding author. E-mail: Corresponding author. E-mail:   

Cite this article: 

Liyuan Li(李丽媛), Lina Chen(陈丽娜), Ronghua Liu(刘荣华), and Youwei Du(都有为) Recent progress on excitation and manipulation of spin-waves in spin Hall nano-oscillators 2020 Chin. Phys. B 29 117102

Fig. 1.  

Several types of magnetization dynamical modes observed in spin-torque nano-oscillators. (a)–(b) 3D spatial intensity distribution of the quasilinear propagating spin-wave mode (a) and nonlinear localized bullet mode (b), respectively. (c)–(f) Snapshots of the spatial magnetization distribution of the dynamical droplet mode or bubble mode without nontrivial topological property (c), Bloch-type (d), or Neel-type bubble skyrmion mode (e) with a topological number N = 1, and gyrotropic vortex mode (f) with a topological number N = 1/2, respectively. The color and vector represent the amplitude of the out-of-plane magnetization component Mz (left color label) and the direction of M in (c)–(e), respectively. The right color label represents the in-plane magnetization component My in (f). (a) and (b) are adopted from Refs. [21,25] with permission.

Fig. 2.  

(a) Schematic of the SHNO device structure and the experimental setup. (b) Schematic of the cross-sectional view of charge and spin currents distribution of SHNO device. (c) Pseudocolor map of the power spectral density (PSD) of the experimentally obtained microwave signal of nanogap SHNO based on a Py(5)/Pt(3) bilayer for varying current at H = 200 Oe and θ = 60°. (d) Pseudocolor map of the experimentally obtained PSD for the varying field at I = 17 mA and θ = 60°. Insets in (c) and (d): Normalized spatial maps of ${m}_{x}^{2}$ corresponding to the two dominant auto-oscillation modes at f1 = 2.86 GHz, f2 = 3.97 GHz and 2f1 = 5.72 GHz, respectively, which were obtained by micromagnetic simulations. Panels are adapted from Refs. [36,38].

Fig. 3.  

(a) The schematic of the SHNO structure and the experimental setup. (b) PSD signals obtained at I = 6.7 mA and the labeled values of the magnetic field for the gate voltage Vg = 0. (c) PSD signals detected at I = 6.2 mA and the labeled values of Vg varying from −5 V to 5 V at H = 340 Oe. Inset: frequency shift vs. gate voltage. (d) Pseudocolor map of three-generation microwave spectra at Vg = 0, ± 5 V with different currents. Reproduced with permission from from Ref. [37].

Fig. 4.  

(a) Anomalous Hall effect measured in a film with in-plane (triangles) and out-of-plane (circles) field at 295 K. (b) Dependence of the device resistance on the direction of in-plane field H = 1 kOe, due to the anisotropic magnetoresistance of the magnetic film. (c) Pseudocolor map of the PSD for varying current at H = 1.1 kOe. The dashed line marks the FMR of the magnetic film. Insets hint the spatial characteristics of the propagating mode (left) and bullet mode (right), respectively. (d) PSD signals obtained varying field H with a step of 100 Oe at I = 13 mA. (e)–(g) Snapshot of dynamical magnetization obtained from micromagnetic simulations of propagating spin-wave, bullet mode, and magnetic bubble skyrmion, respectively. The out-of-plane and in-plane magnetization components are represented by color and vector, respectively. Reproduced with permission from Refs. [20, 21].

Fig. 5.  

Temperature effect on mode hopping. Pseudocolor maps of the dependence of the generated microwave spectra on the current at several selected fields measured at T = 295 K (a)–(c) and T = 6 K (d)–(f). Reproduced with permission from Ref. [49].

Fig. 6.  

Microwave spectra and micromagnetic simulation of the VNC-SHNO. (a) The device structure and the experimental setup of VNC-SHNO. (b)–(c) Pseudocolor plots of the current-dependent spectra of SHNO experimentally obtained at fields H = 960 Oe (b), and H = 1090 Oe (c) with angle ϕ = 82° relative to the film plane and T = 295 K. (d) Representative calculated auto-oscillation spectrum at H = 1000 Oe, ϕ = 85°, and I = 14 mA. (e) Normalized spatial maps of ${m}_{x}^{2}$ of the fundamental droplet mode. The boundary of the active simulation region and the nanocontact are marked by the large solid circle and dotted circle, respectively. Reproduced with permission from Ref. [51].

Fig. 7.  

(a) BLS spectra of SHNO under an external RF signal. The dashed line represents that the auto-oscillation frequency exactly follows fMW/2. (b) A scanning electron microscope image of an SHNO array with nine 120-nm-wide nanoconstrictions each separated by 300 nm. (c)–(d) BLS spatial intensity map (c) and BLS frequency map (d) obtained at I = 3.21 mA. Reproduced with permission from Refs. [52, 53].

Fig. 8.  

Spin-waves propagation in a microscale waveguide. (a) AFM image (top panel) and schematic of the device structure and the experimental setup (bottom panel). (b) A normalized color-coded map of the measured BLS intensity. (c) The simulation snapshot of the out-of-plane component mz of the dynamic magnetization. Reproduced with permission from Ref. [58].

Fig. 9.  

(a) A schematic of the biological neural network. (b) Top: the schematic experiment setup of an STNO. Bottom: The nonlinear response (relaxation process) of the output voltage V(t) of SHNO with the stimulation voltage Vin. (c)–(f) Training and prediction results for two nonlinear dynamic systems. (c)–(d) The second-order nonlinear system described by Eq. (1): theoretical output (black line) vs. prediction result (red line) in the training phase (c) and the test phase (d). (e) and (f) NARMA10 described by Eq. (2), same as (c) and (d). Reproduced with permission from Refs. [55, 67].

Berger L 1996 Phys. Rev. B 54 9353 DOI: 10.1103/PhysRevB.54.9353
Slonczewski J C 1996 J. Magn. Magn. Mater. 159 L1 DOI: 10.1016/0304-8853(96)00062-5
Liu H, Bedau D, Backes D, Katine J A, Langer J, Kent A D 2010 Appl. Phys. Lett. 97 242510 DOI: 10.1063/1.3527962
Choi G M, Moon C H, Min B C, Lee K J, Cahill D G 2015 Nat. Phys. 11 576 DOI: 10.1038/nphys3355
Locatelli N, Cros V, Grollier J 2014 Nat. Mater. 13 11 DOI: 10.1038/nmat3823
Chumak A V, Vasyuchka V I, Serga A A, Hillebrands B 2015 Nat. Phys. 11 453 DOI: 10.1038/nphys3347
Slavin A, Tiberkevich V 2009 IEEE Transactions on Magnetics 45 1875 DOI: 10.1109/TMAG.2008.2009935
Uchida K, Takahashi S, Harii K, Ieda J, Koshibae W, Ando K, Maekawa S, Saitoh E 2008 Nature 455 778 DOI: 10.1038/nature07321
Jungwirth T, Wunderlich J, Olejnik K 2012 Nat. Mater. 11 382 DOI: 10.1038/nmat3279
Hoffmann A 2013 IEEE Trans. Magnet. 49 5172 DOI: 10.1109/TMAG.20
Chernyshov A, Overby M, Liu X Y, Furdyna J K, Lyanda-Geller Y, Rokhinson L P 2009 Nat. Phys. 5 656 DOI: 10.1038/nphys1362
Bychkov Y A, Rashba E I 1984 J. Phys. C-Solid State Phys. 17 6039 DOI: 10.1088/0022-3719/17/33/015
Moriya T 1960 Phys. Rev. 120 91 DOI: 10.1103/PhysRev.120.91
Feng X Y, Zhang Q H, Zhang H W, Zhang Y, Zhong R, Lu B W, Cao J W, Fan X L 2019 Chin. Phys. B 28 107105 DOI: 10.1088/1674-1056/ab425e
Sampaio J, Cros V, Rohart S, Thiaville A, Fert A 2013 Nat. Nanotechnol. 8 839 DOI: 10.1038/nnano.2013.210
Fu Q W, Li Y, Chen L N, Ma F S, Li H T, Xu Y B, Liu B, Liu R H, Du Y W 2020 Chin. Phys. Lett. 37 087503 DOI: 10.1088/0256-307X/37/8/087503
Liu R H, Lim W L, Urazhdin S 2013 Phys. Rev. Lett. 110 147601 DOI: 10.1103/PhysRevLett.110.147601
Gerhart G, Bankowski E, Melkov G A, Tiberkevich V S, Slavin A N 2007 Phys. Rev. B 76 024437 DOI: 10.1103/PhysRevB.76.024437
Pi U H, Kim K W, Bae J Y, Lee S C, Cho Y J, Kim K S, Seo S 2010 Appl. Phys. Lett. 97 162507 DOI: 10.1063/1.3502596
Liu R H, Lim W L, Urazhdin S 2015 Phys. Rev. Lett. 114 137201 DOI: 10.1103/PhysRevLett.114.137201
Macia F, Hoppensteadt F C, Kent A D 2014 Nanotechnology 25 045303 DOI: 10.1088/0957-4484/25/4/045303
Slonczewski J C 1999 J. Magn. Magn. Mater. 195 L261 DOI: 10.1016/S0304-8853(99)00043-8
Madami M, Bonetti S, Consolo G, Tacchi S, Carlotti G, Gubbiotti G, Mancoff F B, Yar M A, Akerman J 2011 Nat. Nanotechnol. 6 635 DOI: 10.1038/nnano.2011.140
Dumas R K, Iacocca E, Bonetti S, Sani S R, Mohseni S M, Eklund A, Persson J, Heinonen O, Akerman J 2013 Phys. Rev. Lett. 110 257202 DOI: 10.1103/PhysRevLett.110.257202
Clerc M G, Coulibaly S, Laroze D, Leon A O, Nunez A S 2015 Phys. Rev. B 91 224426 DOI: 10.1103/PhysRevB.76.144410
Consolo G, Azzerboni B, Gerhart G, Melkov G A, Tiberkevich V, Slavin A N 2007 Phys. Rev. B 76 144410 DOI: 10.1103/PhysRevLett.105.217204
Bonetti S, Tiberkevich V, Consolo G, Finocchio G, Muduli P, Mancoff F, Slavin A, Akerman J 2010 Phys. Rev. Lett. 105 217204 DOI: 10.1103/PhysRevLett.95.237201
Slavin A, Tiberkevich V 2005 Phys. Rev. Lett. 95 237201 DOI: 10.1103/PhysRevLett.99.127204
Hansen U H, Gatzen M, Demidov V E, Demokritov S O 2007 Phys. Rev. Lett. 99 127204 DOI: 10.1103/PhysRevB.82.054432
Hoefer M A, Silva T J, Keller M W 2010 Phys. Rev. B 82 054432 DOI: 10.1016/j.physd.2012.02.003
Hoefer M A, Sommacal M 2012 Physica D 241 890 DOI: 10.1103/PhysRevB.85.214433
Hoefer M A, Sommacal M, Silva T J 2012 Phys. Rev. B 85 214433 DOI: 10.1126/science.1230155
Mohseni S M, Sani S R, Persson J, Nguyen T N A, Chung S, Pogoryelov Y, Muduli P K, Iacocca E, Eklund A, Dumas R K, Bonetti S, Deac A, Hoefer M A, Akerman J 2013 Science 339 1295 DOI: 10.1038/nmat3459
Demidov V E, Urazhdin S, Ulrichs H, Tiberkevich V, Slavin A, Baither D, Schmitz G, Demokritov S O 2012 Nat. Mater. 11 1028 DOI: 10.7498/aps.67.20180906
Han X F, Wan C H 2018 Acta Phys. Sin. 67 127201 in Chinese DOI: 10.1103/Phys..6.39
Hoffmann A 2013 Physics 6 39 DOI: 10.1103/PhysRevAppl..8.021001
Liu R H, Chen L N, Urazhdin S, Du Y W 2017 Phys. Rev. Appl. 8 021001 DOI: 10.1103/PhysRevB.100.104436
Chen L N, Zhou K Y, Urazhdin S, Jiang W C, Du Y W, Liu R H 2019 Phys. Rev. B 100 104436 DOI: 10.1103/PhysRevLett.102.187201
Nakamura K, Shimabukuro R, Fujiwara Y, Akiyama T, Ito T, Freeman A J 2009 Phys. Rev. Lett. 102 187201 DOI: 10.1038/nnano.2008.406
Maruyama T, Shiota Y, Nozaki T, Ohta K, Toda N, Mizuguchi M, Tulapurkar A A, Shinjo T, Shiraishi M, Mizukami S, Ando Y, Suzuki Y 2009 Nat. Nanotechnol. 4 158 DOI: 10.1038/nmat3130
Chiba D, Fukami S, Shimamura K, Ishiwata N, Kobayashi K, Ono T 2011 Nat. Mater. 10 853 DOI: 10.1038/nmat3171
Wang W G, Li M G, Hageman S, Chien C L 2012 Nat. Mater. 11 64 DOI: 10.1103/PhysRevB.89.220409
Liu R H, Lim W L, Urazhdin S 2014 Phys. Rev. B 89 220409 DOI: 10.1088/1674-1056/ab9439
Zheng Z Y, Zhang Y, Zhu D Q, Zhang K, Feng X Q, He Y, Chen L, Zhang Z Z, Liu D J, Zhang Y G, Amiri P K, Zhao W S 2020 Chin. Phys. B 29 078505 DOI: 10.1103/PhysRevLett.68.682
Daalderop G H, Kelly P J, den Broeder F J 1992 Phys. Rev. Lett. 68 682 DOI: 10.1109/TMAG.1975.1058782
Mcguire T R, Potter R I 1975 IEEE Transactions on Magnetics 11 1018 DOI: 10.1063/1.3680091
Bortolotti P, Dussaux A, Grollier J, Cros V, Fukushima A, Kubota H, Yakushiji K, Yuasa S, Ando K, Fert A 2012 Appl. Phys. Lett. 100 042408 DOI: 10.1063/1.4896634
Sharma R, Durrenfeld P, Iacocca E, Heinonen O G, Akerman J, Muduli P K 2014 Appl. Phys. Lett. 105 132404 DOI: 10.1103/PhysRevLett.100.017207
Kim J V, Tiberkevich V, Slavin A N 2008 Phys. Rev. Lett. 100 017207 DOI: 10.1103/PhysRevAppl..11.064038
Chen L N, Urazhdin S, Du Y W, Liu R H 2019 Phys. Rev. Appl. 11 064038 DOI: 10.1103/PhysRevAppl..13.024034
Chen L N, Urazhdin S, Zhou K Y, Du Y W, Liu R H 2020 Phys. Rev. Appl. 13 024034 DOI: 10.1038/ncomms4179
Demidov V E, Ulrichs H, Gurevich S V, Demokritov S O, Tiberkevich V S, Slavin A N, Zholud A, Urazhdin S 2014 Nat. Commun. 5 3179 DOI: 10.1038/nphys3927
Awad A A, Dürrenfeld P, Houshang A, Dvornik M, Iacocca E, Dumas R K, Åkerman J 2016 Nat. Phys. 13 292 DOI: 10.1038/ncomms15825
Lebrun R, Tsunegi S, Bortolotti P, Kubota H, Jenkins A S, Romera M, Yakushiji K, Fukushima A, Grollier J, Yuasa S, Cros V 2017 Nat. Commun. 8 15825 DOI: 10.1063/1.5115183
Jiang W C, Chen L N, Zhou K Y, Li L Y, Fu Q W, Du Y W, Liu R H 2019 Appl. Phys. Lett. 115 192403 DOI: 10.1038/srep44772
Vodenicarevic D, Locatelli N, Araujo F A, Grollier J, Querlioz D 2017 Scientific Reports 7 44772 DOI: 10.1063/1.4901027
Demidov V E, Urazhdin S, Zholud A, Sadovnikov A V, Demokritov S O 2014 Appl. Phys. Lett. 105 172410 DOI: 10.1038/ncomms10446
Demidov V E, Urazhdin S, Liu R, Divinskiy B, Telegin A, Demokritov S O 2016 Nat. Commun. 7 10446 DOI: 10.1109/TMAG.2014.2388196
Demidov V E, Demokritov S O 2015 IEEE Trans. Magnet. 51 1 DOI: 10.1007/s11433-019-1499-3
Zhang Y J, Zheng Q, Zhu X R, Yuan Z, Xia K 2020 Science China-Phys. Mechanics & Astronomy 63 277531 DOI: 10.1063/1.5143382
Zheng Q, Zhu X R, Mi Y Y, Yuan Z, Xia K 2020 Aip Adv. 10 025116 DOI: 10.1063/5.0001557
Liang X, Zhang X C, Xia J, Ezawa M, Zhao Y L, Zhao G P, Zhou Y 2020 Appl. Phys. Lett. 116 122402 DOI: 10.1103/PhysRevAppl..10.034063
Furuta T, Fujii K, Nakajima K, Tsunegi S, Kubota H, Suzuki Y, Miwa S 2018 Phys. Rev. Appl. 10 034063 DOI: 10.1126/science.1091277
Jaeger H, Haas H 2004 Science 304 78 DOI: 10.1109/PROC.5
Grollier J, Querlioz D, Stiles M D 2016 Proc. IEEE 104 2024 DOI: 10.1063/1.5042317
Fukami S, Ohno H 2018 J. Appl. Phys. 124 151904 DOI: 10.1038/nature23011
Torrejon J, Riou M, Araujo F A, Tsunegi S, Khalsa G, Querlioz D, Bortolotti P, Cros V, Yakushiji K, Fukushima A, Kubota H, Uasa S Y, Stiles M D, Grollier J 2017 Nature 547 428 DOI: 10.1038/s41467-017-02337-y
Du C, Cai F X, Zidan M A, Ma W, Lee S H, Lu W D 2017 Nat. Commun. 8 2204 DOI: 10.1038/s41586-018-0632-y
Romera M, Talatchian P, Tsunegi S, Araujo F A, Cros V, Bortolotti P, Trastoy J, Yakushiji K, Fukushima A, Kubota H, Yuasa S, Ernoult M, Vodenicarevic D, Hirtzlin T, Locatelli N, Querlioz D, Grollier J 2018 Nature 563 230 DOI: 10.1038/s41565-019-0593-9
Zahedinejad M, Awad A A, Muralidhar S, Khymyn R, Fulara H, Mazraati H, Dvornik M, Akerman J 2020 Nat. Nanotechnol. 15 47 DOI: 10.1038/s41928-019-0360-9
Grollier J, Querlioz D, Camsari K Y, Everschor-Sitte K, Fukami S, Stiles M D 2020 Nat. Electron. 3 360 DOI: 10.1103/PhysRevAppl..11.034015
Cai J L, Fang B, Zhang L K, Lv W X, Zhang B S, Zhou T J, Finocchio G, Zeng Z M 2019 Phys. Rev. Appl. 11 034015 DOI: 10.1063/1.5055860
Camsari K Y, Sutton B M, Datta S 2019 Appl. Phys. Rev. 6 011305 DOI: 10.1063/1.5055860
Zhang S, Luo S J, Xu N, Zou Q M, Song M, Yun J J, Luo Q, Guo Z, Li R F, Tian W C, Li X, Zhou H G, Chen H M, Zhang Y, Yang X F, Jiang W J, Shen K, Hong J M, Yuan Z, Xi L, Xia K, Salahuddin S, Dieny B, You L 2019 Adv. Electron. Mater. 5 1800782 DOI: 10.1002/aelm.201800782
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