[1] Kosevich A M, Ivanov B A and Kovalev A S 1990 Phys. Rep. 194 117 [2] Mikeska H J and Steiner M 1991 Adv. Phys. 40 191 [3] Schryer N L and Walker L R 1974 J. Appl. Phys. 45 5406 [4] Slonczewski J C and Magn J 1996 Magn. Mater. 159 L1 [5] Berger L 1996 Phys. Rev. B 54 9353 [6] Li Z and Zhang S 2004 Phys. Rev. Lett. 92 207203 [7] Li Z D, Liang J Q, Li L and Liu W M 2004 Phys. Rev. E 69 066611 [8] He P B and Liu W M 2005 Phys. Rev. B 72 064410 [9] Tatara G and Kohno H 2004 Phys. Rev. Lett. 92 086601 [10] Li Z D, Li Q Y, Wang X R, Liu W M and Liang J Q 2010 J. Phys.: Condens. Matter. 22 216001 [11] Wang W W, Albert M, Beg M, Bisotti M A, Chernyshenko D, Hawke I and Fangohr H 2015 Phys. Rev. Lett. 114 087203 [12] Li Z D, Cui H, Li Q Y and He P B 2018 Annals. Phys. 388 390 [13] Zhao F, Li Z D, Li Q Y, Wen L, Fu G S and Liu W M 2012 Annals. Phys. 327 2085 [14] Parkin S S P, Hayashi M and Thomas L 2008 Science 302 190 [15] Allwood D A, Xiong G, Faulkner C C, Atkinson D, Petit D and Cowburn R P 2005 Science 309 1866 [16] Hayashi M, Thomas L, Moriya R, Rettner C and Parkin S S P 2008 Science 320 209 [17] Hinzke D and Nowak U 2011 Phys. Rev. Lett. 107 027205 [18] Jiang X, Thomas L, Moriya R, Hayashi M, Bergman B, Rettner C and Parkin S S P 2010 Nat. Commun. 1 25 [19] Hirsch J E 1999 Phys. Rev. Lett. 83 1834 [20] Edelstein V M 1990 Solid. State. Commun. 73 233 [21] Chernyshov A, Overby M, Liu X, Furdyna J, Lyandageller Y and Rokhinson L P 2009 Nat. Phys. 5 656 [22] Ando K, Takahashi S, Harii K, Sasage K, Ieda J and Maekawa S 2008 Phys. Rev. Lett. 101 036601 [23] Liu L Q, Moriyama T, Ralph D C and uhrman R A 2011 Phys. Rev. Lett. 106 036601 [24] Miron I M, Garello K, Gaudin G, Zermatten P J, Costache M V and Auffret S 2011 Nature 476 189 [25] Liu L Q, Pai C F, Li Y, Tseng H W, Ralph D C and Buhrman R A 2012 Science 336 555 [26] Emori S, Bauer U, Ahn S M, Martinez E and Beach G S D 2013 Nat. Mater. 12 611 [27] Swaving A C and Duine R A 2011 Phys. Rev. B 83 054428 [28] Cheng R, Xiao J, Niu Q and Brataas A 2014 Phys. Rev. Lett. 113 057601 [29] Moon J H, Seo S M, Kim K W, Ryu J, Lee H W, McMichael R D and Stiles M D 2013 Phys. Rev. B 88 184404 [30] Yu X Z, Kanazawa N, Onose Y, Kimoto K, Zhang W Z, Ishiwata S, Matsui Y and Tokura Y 2011 Nat. Mater. 10 106 [31] Romming N, Hanneken C, Menzel M, Bickel J, Wolter B, Bergmann K von, Kubetzka A and Wiesendanger R 2013 Science 341 636 [32] Bu K M, Kwon H Y, Kang S P, Kim H J and Won C 2013 J. Magn. Magn. Mater. 343 32 [33] Fert A, Cros V and Sampaio J 2013 Nat. Nanotechnol. 8 152 [34] Moriya T 1960 Phys. Rev. 120 91 [35] Heinze S, Bergmann K V, Menzel M, Brede J, Kubetzka A, Wiesendanger R, Bihlmayer G and Blügel S 2011 Nat. Phys. 7 713 [36] Chen G, Zhu J, Quesada A, Li J, N’Diaye A T, Huo Y, Ma T P, Chen Y, Kwon H Y, Won C, Qiu Z Q, Schmid A K and Wu Y Z 2013 Phys. Rev. Lett. 110 177204 [37] Ryu K S, Thomas L, Yang S H and Parkin S S P 2013 Nature Nanotechnol. 8 527 [38] Yang J H, Li Z L, Lu X Z, Whangbo M H, Wei S H, Gong X G and Xiang H J 2012 Rev. Lett. 109 107203 [39] Pfleiderer C, Julian S R and Lonzarich G G 2001 Nature 414 427 [40] Leyraudet N D, Walker I R, Taillefer L, Steiner M J, Julian S R and Lonzarich G G 2003 Nature 425 595 [41] Uchida M, Onose Y, Matsui Y and Tokura Y 2006 Science 311 359 [42] Meckler S, Mikuszeit N, PreBer A, Vedmedenko E Y, Pietzsch O and Wiesendanger R 2009 Phys. Rev. Lett. 103 157201 [43] Bass J and Pratt W P 2007 J. Phys. Condens. Matter 19 183201 [44] Chumak A, Vasyuchka V, Serga A and Hillebrands B 2015 Nat. Phys. 11 453 [45] Kajiwara Y, Harii K, Takahashi S, Ohe J, Uchida K and Mizuguchi M 2010 Nature 464 262 [46] Cornelissen L, Liu J, Duine R, Youssef J B and Wees B Van 2015 Nat. Phys. 11 1022 [47] Yuan W, Zhu Q, Su T, Yao Y Y, Xing W Y and Chen Y Y 2018 Sci. Adv. 4 1098 [48] Lebrun R 2018 Nature 561 222 [49] Slonczewski J C 2010 Phys. Rev. B 82 054403 [50] Han D S, Kim S K, Lee J Y, Hermsdoerfer S J, Schultheiss H, Leven B and Hillebrands B 2009 Appl. Phys. Lett. 94 112502 [51] Yan P, Wang X S and Wang X R 2011 Phys. Rev. Lett. 107 177207 [52] Hinzke D and Nowak U 2011 Phys. Rev. Lett. 107 027205 [53] Kovalev A A and Tserkovnyak Y 2012 Euro. Phys. Lett. 97 67002 [54] Jiang W 2013 Phys. Rev. Lett. 110 177202 [55] Moriyama T, Takei S, Nagata M, Yoshimura Y, Matsuzaki N and Terashima T 2015 Appl. Phys. Lett. 106 162406 [56] Woo S, Delaney T and Beach G S 2017 Nat. Phys. 13 448 [57] Wang Y, Zhu D P, Yang Y M, Lee K, Mishra R, Go G, Oh S H, Kim D H, Cai K M, Liu E, Pollard S D, Shi S Y, Lee J, Teo K L, Wu Y H, Lee K J and Yang H 2019 Science 366 1125 [58] Hansson T, Modotto D and Wabnitz S 2013 Phys. Rev. A 88 023819 [59] Li Z D, Li Q Y, Xu T F and He P B 2016 Phys. Rev. E 94 042220 [60] Li L, Li Z D, Malomed B A, Mihalache D and Liu W M 2005 Phys. Rev. A 72 033611 [61] Guo B L, Ling L M and Liu Q P 2012 Phys. Rev. E 85 026607 [62] Toenger S, Genty G, Dias F, Erkintalo M and Dud-ley J M 2015 Sci. Rep. 5 10380 [63] Zhao L C and Ling L 2016 J. Opt. Soc. Am. B 33 850 [64] Baronio F, Conforti M, Degasperis A, Lombardo S, Onorato M and Wabnitz S 2014 Phys. Rev. Lett. 113 034101 [65] Zakharov V E and Gelash A A 2013 Phys. Rev. Lett. 111 054101 [66] Li Q Y, Xie Z W, Li Lu, Li Z D and Liang J Q 2004 Ann. Phys. 312 128 [67] Li Z D, Li Q Y, He P B, Bai Z G and Sun Y B 2007 Ann. Phys. 322 2945 [68] Zheng Z X, Li Q Y, Li Z D, Wang S X, Xu L P and Wen T D 2009 Physics 324 1612 [69] Akhmediev N and Korneev V I 1986 Theor. Math. Phys. 69 1089 [70] Dudley J M, Genty G, Dias F, Kibler B and Akhmediev N 2009 Opt. Express. 17 21497 [71] Kuznetsov E 1977 Sov. Phys. Dokl. 22 507 [72] Ma Y C 1979 Stud. Appl. Math. 60 43 [73] Kibler B, Fatome J, Fnot C, Millot G and Genty G 2012 Sci. Rep. 2 463 [74] Peregrine D H 1983 J. Aust. Math. Soc. Ser. B 25 16 [75] Kibler B, Fatome J, Finot C and Millot G 2010 Nature Phys. 6 790 [76] Takhtajan L A 1977 Phys. Lett. 64 235 |