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SYNCHRONIZATION OF SPIN-TORQUE NANO-OSCILLATORS FROM AN INDUCED CORRUGATED ATTRACTOR

HAOHSUAN CHEN

Department of Physics and Center for Quantum Sciences and Engineering, National Taiwan University, Taipei 10617, Taiwan

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JUIHANG CHANG

Department of Physics and Center for Quantum Sciences and Engineering, National Taiwan University, Taipei 10617, Taiwan

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, and

CHINGRAY CHANG

Department of Physics and Center for Quantum Sciences and Engineering, National Taiwan University, Taipei 10617, Taiwan

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https://doi.org/10.1142/S2010324711000021Cited by:14 (Source: Crossref)

Abstract

Due to the demagnetization field of the free layer, an approximate theory was introduced to analyze the synchronization mechanism of coupled nano-oscillators. The necessary conditions of synchronization for a coupled spin-transfer-torque system are derived and dipolar interaction generates synchronization within an induced corrugated attractor. The theory of corrugated attractor also shows that the current feedback effect from Giant Magnetoresistance (GMR) cannot synchronize the second type of spin-torque nano-oscillators. Our theory is consistent with the numerical results from the Landau–Lifshitz–Gilbert equation with a spin-transfer-torque.

Keywords:

PACS: 85.75.Bb, 75.40Gb, 75.47.-m

References

J. Slonczewski, J. Magn. Magn. Mater. 159, L1 (1996), DOI: 10.1016/0304-8853(96)00062-5. Crossref, Google Scholar
L. Berger, Phys. Rev. B 54, 9353 (1996), DOI: 10.1103/PhysRevB.54.9353. Crossref, Google Scholar
M. Tsoiet al., Phys. Rev. Lett. 80, 4281 (1998), DOI: 10.1103/PhysRevLett.80.4281. Crossref, Google Scholar
J. E. Wegroveet al., Europhys. Lett. 45, 626 (1999). Crossref, Google Scholar
J. A. Katineet al., Phys. Rev. Lett. 84, 3149 (2000), DOI: 10.1103/PhysRevLett.84.3149. Crossref, Google Scholar
J. Grollieret al., Appl. Phys. Lett. 78, 3663 (2001), DOI: 10.1063/1.1374230. Crossref, Google Scholar
E. B. Myerset al., Phys. Rev. Lett. 89, 196801 (2002), DOI: 10.1103/PhysRevLett.89.196801. Crossref, Google Scholar
B. Oezyilmazet al., Phys. Rev. Lett. 91, 067203 (2003). Crossref, Google Scholar
S. Urazhdinet al., Phys. Rev. Lett. 91, 146803 (2003), DOI: 10.1103/PhysRevLett.91.146803. Crossref, Google Scholar
S. I. Kiselevet al., Phys. Rev. Lett. 93, 036601 (2004), DOI: 10.1103/PhysRevLett.93.036601. Crossref, Google Scholar
L. Berger, J. Magn. Magn. Mater. 278, 185 (2004). Crossref, Google Scholar
M. D. Stiles, J. Xiao and A. Zangwill, Phys. Rev. B 69, 054408 (2004), DOI: 10.1103/PhysRevB.69.054408. Crossref, Google Scholar
J. Zhanget al., Phys. Rev. Lett. 93, 256602 (2004), DOI: 10.1103/PhysRevLett.93.256602. Crossref, Google Scholar
J. Manschot, A. Brataas and G. E. W. Bauer, Appl. Phys. Lett. 85, 3250 (2004), DOI: 10.1063/1.1801169. Crossref, Google Scholar
A. Fertet al., J. Magn. Magn. Mater. 272, 1706 (2004). Google Scholar
S. I. Kiselevet al., Nature 425, 380 (2003), DOI: 10.1038/nature01967. Crossref, Google Scholar
W. H. Rippardet al., Phys. Rev. Lett. 92, 027201 (2004), DOI: 10.1103/PhysRevLett.92.027201. Crossref, Google Scholar
I. N. Krivorotovet al., Science 307, 228 (2005), DOI: 10.1126/science.1105722. Crossref, Google Scholar
D. Houssameddienet al., Nat. Mater. 6, 447 (2007). Crossref, Google Scholar
G. Bertottiet al., Phys, Rev, Lett. 94, 127206 (2005), DOI: 10.1103/PhysRevLett.94.127206. Crossref, Google Scholar
K. J. Lee, O. Redon and B. Dieny, Appl. Phys. Lett. 86, 22505 (2005), DOI: 10.1063/1.1852081. Crossref, Google Scholar
U. Ebelset al., Phys. Rev. B 78, 024436 (2008), DOI: 10.1103/PhysRevB.78.024436. Crossref, Google Scholar
F. B. Mancoffet al., Nature 437, 393 (2005), DOI: 10.1038/nature04036. Crossref, Google Scholar
J. Grollier, V. Cros and A. Fert, Phys. Rev. B 73, 060409(R) (2006), DOI: 10.1103/PhysRevB.73.060409. Crossref, Google Scholar
B. Georgeset al., Appl. Phys. Lett. 92, 232504 (2008), DOI: 10.1063/1.2945636. Crossref, Google Scholar
V. Tiberkevichet al., Appl. Phys. Lett. 95, 262505 (2009), DOI: 10.1063/1.3278602. Crossref, Google Scholar
S. Kakaet al., Nature 437, 389 (2005), DOI: 10.1038/nature04035. Crossref, Google Scholar
M. R. Pufallet al., Phys. Rev. Lett. 97, 087206 (2006), DOI: 10.1103/PhysRevLett.97.087206. Crossref, Google Scholar
X. Chen and R. H. Victora, Phys. Rev. B 79, 180402(R) (2009). Crossref, Google Scholar
Ya. B. Bazaliy, Phys. Rev. B 76, 140402(R) (2007), DOI: 10.1103/PhysRevB.76.140402. Crossref, Google Scholar