Discrete modulational instability and bright localized spin wave modes in easy-axis weak ferromagnetic spin chains involving the next-nearest-neighbor coupling

doi:10.1088/1674-1056/28/7/077501

中国物理B ›› 2019, Vol. 28 ›› Issue (7): 77501-077501.doi: 10.1088/1674-1056/28/7/077501

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Discrete modulational instability and bright localized spin wave modes in easy-axis weak ferromagnetic spin chains involving the next-nearest-neighbor coupling

Jiayu Xie(谢家玉), Zhihao Deng(邓志豪), Xia Chang(昌霞), Bing Tang(唐炳)

1 College of Physics, Mechanical and Electrical Engineering, Jishou University, Jishou 416000, China;
2 The Collaborative Innovation Center of Manganese-Zinc-Vanadium Industrial Technology, Jishou University, Jishou 416000, China

收稿日期:2019-03-12 修回日期:2019-05-04 出版日期:2019-07-05 发布日期:2019-07-05
通讯作者: Bing Tang E-mail:bingtangphy@jsu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11604121 and 11875126), the Natural Science Fund Project of Hunan Province, China (Grant No. 2017JJ3255), the National College Students' Innovation Entrepreneurship Training Program, China (Grant No. 201810531014), and the Scientific Research Fund of Hunan Provincial Education Department, China (Grant No. 17B212).

Discrete modulational instability and bright localized spin wave modes in easy-axis weak ferromagnetic spin chains involving the next-nearest-neighbor coupling

Jiayu Xie(谢家玉)¹, Zhihao Deng(邓志豪)¹, Xia Chang(昌霞)¹, Bing Tang(唐炳)^1,2

1 College of Physics, Mechanical and Electrical Engineering, Jishou University, Jishou 416000, China;
2 The Collaborative Innovation Center of Manganese-Zinc-Vanadium Industrial Technology, Jishou University, Jishou 416000, China

Received:2019-03-12 Revised:2019-05-04 Online:2019-07-05 Published:2019-07-05
Contact: Bing Tang E-mail:bingtangphy@jsu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11604121 and 11875126), the Natural Science Fund Project of Hunan Province, China (Grant No. 2017JJ3255), the National College Students' Innovation Entrepreneurship Training Program, China (Grant No. 201810531014), and the Scientific Research Fund of Hunan Provincial Education Department, China (Grant No. 17B212).

摘要/Abstract

摘要：

We report a theoretical work on the properties of modulational instability and bright type nonlinear localized modes in one-dimensional easy-axis weak ferromagnetic spin lattices involving next-nearest-neighbor couplings. With a linear stability analysis, we calculate the growth rates of the modulational instability, and plot the instability regions. When the strength of the next-nearest-neighbor coupling is large enough, two new asymmetric modulational instability regions appear near the boundary of the first Brillouin zone. Furthermore, analytical forms of the bright nonlinear localized modes are constructed by means of a quasi-discreteness approach. The influence of the next-nearest-neighbor coupling on the Brillouin zone center mode and boundary mode are discussed. In particular, we discover a reversal phenomenon of the propagation direction of the Brillouin zone boundary mode.

关键词: modulational instability analysis, intrinsic localized spin-wave modes, weak ferromagnets, next-nearest-neighbor couplings

Abstract:

Key words: modulational instability analysis, intrinsic localized spin-wave modes, weak ferromagnets, next-nearest-neighbor couplings

中图分类号: (Quantized spin models, including quantum spin frustration)

75.10.Jm

75.30.Ds (Spin waves) 63.20.Pw (Localized modes)

谢家玉, 邓志豪, 昌霞, 唐炳. Discrete modulational instability and bright localized spin wave modes in easy-axis weak ferromagnetic spin chains involving the next-nearest-neighbor coupling[J]. 中国物理B, 2019, 28(7): 77501-077501.

Jiayu Xie(谢家玉), Zhihao Deng(邓志豪), Xia Chang(昌霞), Bing Tang(唐炳). Discrete modulational instability and bright localized spin wave modes in easy-axis weak ferromagnetic spin chains involving the next-nearest-neighbor coupling[J]. Chin. Phys. B, 2019, 28(7): 77501-077501.

参考文献 70

[1]	Baronio F, Chen S, Grelu P, Wabnitz S and Conforti M 2015 Phys. Rev. A 91 033804 doi: 10.1103/PhysRevA.91.033804
[2]	Wamba E, Mohamadou A, Ekogo T B, Atangana J and Kofane T C 2011 Phys. Lett. A 375 4288 doi: 10.1016/j.physleta.2011.07.062
[3]	Stockhofe J and Schmelcher P 2016 Physica D 328-329 9
[4]	Kibler B, Chabchoub A, Gelash A, Akhmediev N and Zakharov V E 2015 Phys. Rev. X 5 041026
[5]	Zhang J H, Wang L and Liu C 2017 Proc. R. Soc. A 473 20160681 doi: 10.1098/rspa.2016.0681
[6]	Cai L Y, Wang X, Wang L, Li M, Liu Y and Shi Y Y 2017 Nonlin. Dynam. 90 2221 doi: 10.1007/s11071-017-3797-2
[7]	Wang L, Zhang L L, Zhu Y J, Qi F H, Wang P, Guo R and Li M 2016 Commun. Nonlinear Sci. Numer. Simulat. 40 216 doi: 10.1016/j.cnsns.2016.04.016
[8]	Tabi C B, Mohamadou A and Kofane T C 2010 Eur. Phys. J. B 74 151 doi: 10.1140/epjb/e2010-00062-1
[9]	Gori G, Macrí T and Trombettoni A 2013 Phys. Rev. E 87 032905 doi: 10.1103/PhysRevE.87.032905
[10]	Xie Y D 2018 Acta Phys. Sin. 67 197502 (in Chinese)
[11]	Yang C Y, Wazwaz A M, Zhou Q and Liu W J 2019 Laser Phys. 29 035401 doi: 10.1088/1555-6611/aaffc9
[12]	Liu W J, Pang L H, Shen Z W, Lei M, Teng H and Wei Z Y 2016 Photon. Res. 4 111 doi: 10.1364/PRJ.4.000111
[13]	Liu W J, Pang L H, Han H N, Tian W L, Chen Hao, Lei M, Yan P G and Wei Z Y 2015 Opt. Exp. 23 26023 doi: 10.1364/OE.23.026023
[14]	Su W H, Xie J Y, Wu T L and Tang B 2018 Chin. Phys. B 27 097501 doi: 10.1088/1674-1056/27/9/097501
[15]	Wang L, Zhu Y J, Wang Z Q, Xu T, Qi F H and Xue Y S 2016 J. Phys. Soc. Jpn. 85 024001 doi: 10.7566/JPSJ.85.024001
[16]	Baronio F, Conforti M, Degasperis A, Lombardo S, Onorato M and Wabnitz S 2014 Phys. Rev. Lett. 113 034101 doi: 10.1103/PhysRevLett.113.034101
[17]	Marklund M and Shukla P K 2006 Phys. Rev. E 73 057601 doi: 10.1103/PhysRevE.73.057601
[18]	Meier J, Stegeman G I, Christodoulides D N, Silberberg Y, Morandotti R, Yang H, Salamo G, Sorel M and Aitchison J S 2004 Phys. Rev. Lett. 92 163902 doi: 10.1103/PhysRevLett.92.163902
[19]	Carr L D and Brand J 2004 Phys. Rev. Lett. 92 040401 doi: 10.1103/PhysRevLett.92.040401
[20]	Kivshar Y S and Peyrard M 1992 Phys. Rev. A 46 3198 doi: 10.1103/PhysRevA.46.3198
[21]	Kivshar Y S 1993 Phys. Lett. A 173 172 doi: 10.1016/0375-9601(93)90182-Y
[22]	Abdullaev F K, Bouketir A, Messikh A and Umarov B A 2007 Physica D 232 54 doi: 10.1016/j.physd.2007.05.005
[23]	Daumont I, Dauxois T and Peyrard M 1997 Nonlinearity 10 617 doi: 10.1088/0951-7715/10/3/003
[24]	Yoshimura K 2004 Phys. Rev. E 70 016611 doi: 10.1103/PhysRevE.70.016611
[25]	Dauxois T, Khomeriki R and Ruffo S 2007 Eur. Phys. J. Spec. Top. 147 3 doi: 10.1140/epjst/e2007-00200-2
[26]	Lai R and Sievers A J 1999 Phys. Rep. 314 147 doi: 10.1016/S0370-1573(98)00090-8
[27]	Lai R and Sievers A J 1998 Phys. Rev. B 57 3433
[28]	Lai R, Kiselev S A and Sievers A J 1997 Phys. Rev. B 56 5345 doi: 10.1103/PhysRevB.56.5345
[29]	Huang G, Zhang S and Hu B 1998 Phys. Rev. B 58 9194 doi: 10.1103/PhysRevB.58.9194
[30]	Nguenang J P, Peyrard M, Kenfack A J and Kofané T C 2005 J. Phys.: Condens. Matter 17 3083 doi: 10.1088/0953-8984/17/19/021
[31]	Lakshmanan M, Subash B and Saxena A 2014 Phys. Lett. A 378 1119 doi: 10.1016/j.physleta.2014.02.026
[32]	Kavitha L, Mohamadou A, Parasuraman E, Gopi D, Akila N and Prabhu A 2016 J. Magn. Magn. Mater. 404 91 doi: 10.1016/j.jmmm.2015.11.036
[33]	Tang B, Li G L and Fu M 2017 J. Magn. Magn. Mater. 426 429 doi: 10.1016/j.jmmm.2016.11.116
[34]	Kavitha L, Parasuraman E, Gopi D, Prabhu A and Vicencio R A 2016 J. Magn. Magn. Mater. 401 394 doi: 10.1016/j.jmmm.2015.10.021
[35]	Dzyaloshinsky I 1958 J. Phys. Chem. Solids 4 241 doi: 10.1016/0022-3697(58)90076-3
[36]	Moriya T 1960 Phys. Rev. Lett. 4 228 doi: 10.1103/PhysRevLett.4.228
[37]	Tang B, Li D J and Tang Y 2014 Chaos 24 023113 doi: 10.1063/1.4875041
[38]	Di K, Zhang V L, Lim H S, Ng S C, Kuok M H, Yu J, Yoon J, Qiu X and Yang H 2015 Phys. Rev. Lett. 114 047201 doi: 10.1103/PhysRevLett.114.047201
[39]	Moon J H, Seo S M, Lee K J, Kim K W, Ryu J, Lee H W, McMichael R D and Stiles M D 2013 Phys. Rev. B 88 184404 doi: 10.1103/PhysRevB.88.184404
[40]	Djoufack Z I, Kenfack Jiotsa A and Nguenang J P 2012 Eur. Phys. J. B 85 96 doi: 10.1140/epjb/e2012-20707-1
[41]	Brächer T, Boulle O, Gaudin G and Pirro P 2017 Phys. Rev. B 95 064429 doi: 10.1103/PhysRevB.95.064429
[42]	Je S G, Kim D H, Yoo S C, Min B C, Lee K J and Choe S B 2013 Phys. Rev. B 88 214401 doi: 10.1103/PhysRevB.88.214401
[43]	Ding J, Wu T, Chang X and Tang B 2018 Commun. Nonlinear Sci. Numer. Simulat. 59 349 doi: 10.1016/j.cnsns.2017.11.017
[44]	Tang B and Deng K 2017 Nonlin. Dynam. 88 2417 doi: 10.1007/s11071-017-3386-4
[45]	Dyson F J 1956 Phys. Rev. 102 1217 doi: 10.1103/PhysRev.102.1217
[46]	Dyson F J 1956 Phys. Rev. 102 1230 doi: 10.1103/PhysRev.102.1230
[47]	Glauber R J 1963 Phys. Rev. 131 2766 doi: 10.1103/PhysRev.131.2766
[48]	Smith H 1991 Introduction to Quantum Mechanics (Singapore: World Scientific)
[49]	Li P, Wang L, Kong L Q, Wang X and Xie Z Y 2018 Appl. Math. Lett. 85 110 doi: 10.1016/j.aml.2018.05.027
[50]	Huang G, Shi Z P and Xu Z 1993 Phys. Rev. B 47 14561 doi: 10.1103/PhysRevB.47.14561
[51]	Ablowitz M and Segur H 1985 Solitons and the Inverse Scattering Transform (Philadelphia: SIAM)
[52]	Liu W, Yu W, Yang C, Liu M, Zhang Y and Ming L 2017 Nonlin. Dynam. 89 2933 doi: 10.1007/s11071-017-3636-5
[53]	Liu W, Yang C, Liu M, Yu W, Zhang Y and Lei M 2017 Phys. Rev. E 96 042201 doi: 10.1103/PhysRevE.96.042201
[54]	Lü X and Lin F 2016 Commun. Nonlinear Sci. Numer. Simulat. 32 241 doi: 10.1016/j.cnsns.2015.08.008
[55]	Li Z D, Li Q Y, Li L and Liu W M 2007 Phys. Rev. E 76 026605 doi: 10.1103/PhysRevE.76.026605
[56]	Huang G, Xu Z and Xu W 1993 J. Phys. Soc. Jpn. 62 3231 doi: 10.1143/JPSJ.62.3231
[57]	Li D C, Li X M, Li H, Tao R, Yang M and Cao Z L 2015 Chin. Phys. Lett. 32 50302 doi: 10.1088/0256-307X/32/5/050302
[58]	Liao H J, Xie H D, Liu Z Y, Xie Z Y, Li W, Normand B and Xiang T 2016 Chin. Phys. Lett. 33 77503 doi: 10.1088/0256-307X/33/7/077503
[59]	Liu W J, Liu M L, Liu B, Quhe R G, Lei M, Fang S B, Teng H and Wei Z Y 2019 Opt. Exp. 27 6689 doi: 10.1364/OE.27.006689
[60]	Dai J, Wang P S, Sun S S, Pang F, Zhang J S, Dong X L, Yue G, Jin K, Cong J Z and Sun Y 2015 Chin. Phys. Lett. 32 127503 doi: 10.1088/0256-307X/32/12/127503
[61]	Faizi E and Eftekhari H 2015 Chin. Phys. Lett. 32 100303 doi: 10.1088/0256-307X/32/10/100303
[62]	Fang J, Han D M, Liu H, Liu H D and Zheng T Y 2017 Acta Phys. Sin. 66 160302 (in Chinese)
[63]	Wang C J, Chen A H and Gao X L 2012 Acta Phys. Sin. 61 127501 (in Chinese)
[64]	Liu M L, Ouyang Y Y, Hou H R, Liu W J and Hou H R 2019 Chin. Opt. Lett. 17 020006 doi: 10.3788/COL201917.020006
[65]	Bai Y H, Zhou W P, Yun G H and Bai N 2011 Acta Phys. Sin. 60 056805 (in Chinese)
[66]	Liu L, Sandvik A W and Guo W A 2018 Chin. Phys. B 27 087501 doi: 10.1088/1674-1056/27/8/087501
[67]	Zhu S B, Qian J and Wang Y Z 2017 Chin. Phys. B 26 046702 doi: 10.1088/1674-1056/26/4/046702
[68]	Yang D N, Huang Y L, Ni S L, Zhou H X, Mao Y Y, Hu W, Yuang J, Jin K, Zhang G M and Dong X L 2016 Chin. Phys. B 25 077404 doi: 10.1088/1674-1056/25/7/077404
[69]	Li D C, Wang X P, Li H, Li X M, Yang M and Cao Z L 2016 Chin. Phys. Lett. 33 50301 doi: 10.1088/0256-307X/33/5/050301
[70]	Li Y F, Shen Y Y, Kong X M 2012 Acta Phys. Sin. 61 107501 (in Chinese)

Discrete modulational instability and bright localized spin wave modes in easy-axis weak ferromagnetic spin chains involving the next-nearest-neighbor coupling

Discrete modulational instability and bright localized spin wave modes in easy-axis weak ferromagnetic spin chains involving the next-nearest-neighbor coupling

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