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QUANTUM QUASI-SOLITONS IN THE TWO-DIMENSIONAL FERROMAGNETIC LATTICE WITH AN EXTERNAL FIELD

DE-JUN LI

College of Physics, Mechanical and Electrical Engineering, Jishou University, Jishou 416000, Hunan, China

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BING TANG

Department of Physics, Xiangtan University, Xiangtan 411105, Hunan, China

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KE HU

Department of Physics, Xiangtan University, Xiangtan 411105, Hunan, China

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, and

YI TANG

Department of Physics, Xiangtan University, Xiangtan 411105, Hunan, China

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https://doi.org/10.1142/S0217984913500589Cited by:1 (Source: Crossref)

Abstract

Based on the quantum theory and a simplified version of the multiple-scale method, the nonlinear excitations in a two-dimensional ferromagnetic lattice with an external magnetic field are analytically investigated. The standard two-dimensional nonlinear Schrödinger equation is obtained. Results show that the quantum quasi-soliton can exist in the two-dimensional ferromagnetic lattice. In addition, when the group velocity is equal to zero, at the boundary of the Brillouin zone, the quantum quasi-soliton becomes the quantum intrinsic localized mode.

Keywords:

PACS: 76.50.+g, 42.50.-p, 05.45.Yv

References

R. E. Peierls, Ann. I. H. Poincare 5, 177 (1935). Google Scholar
E. Fradkin, Phys. Rev. B 33, 3263 (1986). Web of Science, ADS, Google Scholar
K. S. Novoselov, A. K. Geim and S. V. Morozov, Science 306, 666 (2004). Web of Science, ADS, Google Scholar
D. S. L. Abergel, A. Russell and V. I. Falko, Appl. Phys. Lett. 91, 063125 (2007). Web of Science, Google Scholar
P. Blake and E. W. Hill, Appl. Phys. Lett. 91, 063124 (2007). Web of Science, Google Scholar
C. Casiraghi, A. Hartschuh and E. Lidorikis, Nano Lett. 7, 2711 (2007). Web of Science, ADS, Google Scholar
C. Berger, Z. Song and Z. Li, Science 312, 1191 (2006). Web of Science, ADS, Google Scholar
A. K. Geim and K. S. Novoselov, Nat. Mater. 6, 183 (2007). Web of Science, ADS, Google Scholar
N. A. H. Castro, F. Guinea and N. M. R. Peres, Rev. Mod. Phys. 81, 109 (2009). Web of Science, ADS, Google Scholar
Y. W. Son, M. L. Cohen and S. G. Louie, Phys. Rev. Lett. 97, 216803 (2006). Web of Science, ADS, Google Scholar
X. Honget al., Phys. Rev. Lett. 108, 226602 (2012). Web of Science, ADS, Google Scholar
K. S. Novoselov, A. K. Geim and S. V. Morozov, Nature 438, 193 (2005). Web of Science, Google Scholar
U. T. Schwarz, L. Q. English and A. J. Sievers, Phys. Rev. Lett. 83, 223 (1999). Web of Science, ADS, Google Scholar
L. Q. English, M. Sato and A. J. Sievers, J. Appl. Phys. 89, 6707 (2001). Web of Science, ADS, Google Scholar
M. Satoet al., J. Appl. Phys. 91, 8676 (2002). Web of Science, ADS, Google Scholar
G. X. Huanget al., Phys. Rev. B 43, 11197 (1991). Web of Science, ADS, Google Scholar
S. Takeno and K. Kawasaki, Phys. Rev. B 45, 5083 (1992). Web of Science, ADS, Google Scholar
R. F. Wallis, D. L. Mills and A. D. Boardman, Phys. Rev. B 52, R3828 (1995). Web of Science, ADS, Google Scholar
R. Lai, S. A. Kiselev and A. J. Sievers, Phys. Rev. B 54, R12665 (1996). Web of Science, ADS, Google Scholar
R. Lai and A. J. Sievers, J. Appl. Phys. 81, 3972 (1997). Web of Science, ADS, Google Scholar
R. Lai, S. A. Kiselev and A. J. Sievers, Phys. Rev. B 56, 5345 (1997). Web of Science, ADS, Google Scholar
D. J. Liet al., Chin. Phys. 15, 39 (2006). ADS, Google Scholar
D. J. Liet al., Commun. Theor. Phys. 50, 177 (12008). Web of Science, Google Scholar
D. J. Li, X. W. Mi and K. Deng, Acta Phys. Sin. 59, 7344 (2010). Web of Science, Google Scholar
Z. Heet al., J. Am. Chem. Soc. 131, 7554 (2009). Web of Science, Google Scholar
Z. Heet al., Phys. Rev. B 79, 092404 (2009). Web of Science, Google Scholar
Z. He and Y. Ueda, Phys. Rev. B 77, 052402 (2008). Web of Science, Google Scholar
S. Kimuraet al., Phys. Rev. Lett. 101, 207201 (2008). Web of Science, Google Scholar
Z. He, T. Taniyama and M. Itoh, Appl. Phys. Lett. 88, 132504 (2006). Web of Science, ADS, Google Scholar
V. K. Yaroslave, A. M. Boris and T. Lluis, Rev. Mod. Phys. 83, 247 (2011). Web of Science, Google Scholar
Z. D. Liet al., Phys. Rev. A 71, 053611 (2005). Web of Science, Google Scholar
L. Liet al., Phys. Rev. A 72, 033611 (2005). Web of Science, Google Scholar
X. F. Zhanget al., Phys. Rev. A 77, 023613 (2008). Web of Science, Google Scholar
B. Liet al., Phys. Rev. A 78, 023608 (2008). Web of Science, Google Scholar
Z. D. Liet al., Phys. Rev. E 76, 026605 (2007). Web of Science, Google Scholar
T. Holstein and H. Primakoff, Phys. Rev. B 58, 1098 (1940). Google Scholar
E. Wrightet al., Physica D 69, 18 (1993). Web of Science, ADS, Google Scholar
X. F. Pang, The Nonlinear Quantum Theory (Chongqing Press, Chongqing, 1994) pp. 146–151. Google Scholar
W. X. Ma and M. Chen, Appl. Math. Comput. 215, 2835 (2009). Web of Science, Google Scholar