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A new model of quantum ring with multiple arms whose middle arm is curved was proposed in this article.This is an unequal arm quantum ring with a shortest upper arm and a longest lower arm.The results indicate that the persistent spin current shows nonperiodic vibration with the size of the semiconductor ring increasing when the total magnetic flux is zero.And it is related to the electrodes’ magnetic moment direction as well as the tunneling electrons’ spin orientation. The average persistent spin current in the lower arm is minimum on account of its longest length. When the AB magnetic flux strengthens, the persistent spin current in each arm generates periodic oscillation and shows mutual restriction.The difference in each arm is related to the arm length and the magnetic flux distribution. Furthermore,the Rashba spin-orbit interaction affects the phase and the phase difference of the persistent spin current. Our results also imply that the persistent spin currents which the two kind of wave functions correspond to are separated under definite conditions.
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Keywords:
- a quantum ring with multiple arms /
- persistent spin current /
- Rashba spin-orbit interaction
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[6] ［6］Li Y X, Liu J J, Li B Z 2005 Acta Phys. Sin. 54 1366(in Chinese) ［李玉现、刘建军、李伯臧 2005 54 1366］
[7] ［7］Du J,Zhang P,Liu J H,Li J L,Li Y X 2008 Acta Phys. Sin. 57 7221(in Chinese)［杜坚、张鹏、刘继红、李金亮、李玉现 2008 57 7221］
[8] ［8］Yin Y Q,Li H,Ma J N,He Z L,Wang X Z 2009 Acta Phys.Sin. 58 4162(in Chinese)［尹永琦、李华、马佳宁、贺泽龙、王选章 2009 58 4162］
[9] ［9］Wu S Q 2009 Acta Phys.Sin. 58 4175(in Chinese)［吴绍全 2009 58 4175］
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[11] ］Chen X W,Chen B J,Shi Z G,Song K H 2009 Acta Phys.Sin. 58 2720(in Chinese)［谌雄文、谌宝菊、施振刚、宋克慧 2009 58 2720］
[12] ］Ma M M,Ding J W,Chen H B,Xu N 2009 Acta Phys.Sin. 58 2726(in Chinese)［马明明、丁建文、陈宏波、徐宁 2009 58 2726］
[13] ］Yi J,Wei J H,Hong J,Lee S 2002 Phys.Rev.B 65 033305
[14] ］Du J,Li C G,Qin F 2009 Acta Phys. Sin. 58 576 (in Chinese)［杜坚、李春光、秦芳 2009 58 576］
[15] ］Rabaud W, Saminadayar L, Mailly D, Rabaud W, Samianadayar L, Mailly D, Hasselbach K, Benoit A, Etienne B 2001 Phys Rev.Lett. 86 3124
[16] ］Bouzerar G,Poilbanc D 1995 Phys.Rev. B 52 10772
[17] ］Chakraborty T,Pietilainen P 1994 Phys.Rev. B 50 8460
[18] ］Krokhin A A,Krive I V 1998 Superlattice and Microst. 23 485
[19] ］Emperador A,Barranco M,Lipparini E,Pi M,Serra L 1999 Phys.Rev.B 59 15301
[20] ］Berry M V 1984 Proc. Roy. Soc. Lond. Ser. A 392 45
[21] ］Loss D,Goldbart P M,Balatsky A V 1990 Phys.Rev.Lett. 65 1655
[22] ］Byers N,Yang C N 1961 Phys.Rev.Lett. 7 46
[23] ］Citro R,Romeo F,Marinaro M 2006 Phys.Rev. B 74 115329
[24] ］Meijer F E,Morpurgo A F,Klapwijk T M 2002 Phys.Rev. B 66 033107
[25] ］Molnar B,Peeters F M,Vasilopoulos P 2004 Phys.Rev. B 69 155335
[26] ］Wu H C,Guo Y,Chen X Y,Gu B L 2003 Phys.Rev. B 68 125330
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[1] ［1］Baibich M N,Broto J M,Fert A, van Dau F N,Petroff F,Etienne P,Creuzet G, Friederich A,Chazelas J 1988 Phys.Rev.Lett. 61 2472
[2] ［2］Slonczewski J C 1989 Phys.Rev. B 39 6995
[3] ［3］Gijs M A M,Bauer G E W 1997 Adv.Phys. 46 285
[4] ［4］Viret M,Berger S,Gabureac M, Ott F,Olligs D, Petej I,Gress J F,Fermon C,Francinet G,Le Goff G 2002 Phys.Rev. B 66 220401
[5] ［5］Wolf S A,Awschalom D D,Buhrman R A,Daughton J M,von Molnar S,Roukes M L, Chtchelkanova A Y,Treger D M 2001 Science 294 1488
[6] ［6］Li Y X, Liu J J, Li B Z 2005 Acta Phys. Sin. 54 1366(in Chinese) ［李玉现、刘建军、李伯臧 2005 54 1366］
[7] ［7］Du J,Zhang P,Liu J H,Li J L,Li Y X 2008 Acta Phys. Sin. 57 7221(in Chinese)［杜坚、张鹏、刘继红、李金亮、李玉现 2008 57 7221］
[8] ［8］Yin Y Q,Li H,Ma J N,He Z L,Wang X Z 2009 Acta Phys.Sin. 58 4162(in Chinese)［尹永琦、李华、马佳宁、贺泽龙、王选章 2009 58 4162］
[9] ［9］Wu S Q 2009 Acta Phys.Sin. 58 4175(in Chinese)［吴绍全 2009 58 4175］
[10] ］Jayannavar A M,Singha P 1995 Phys.Rev. B 51 10175
[11] ］Chen X W,Chen B J,Shi Z G,Song K H 2009 Acta Phys.Sin. 58 2720(in Chinese)［谌雄文、谌宝菊、施振刚、宋克慧 2009 58 2720］
[12] ］Ma M M,Ding J W,Chen H B,Xu N 2009 Acta Phys.Sin. 58 2726(in Chinese)［马明明、丁建文、陈宏波、徐宁 2009 58 2726］
[13] ］Yi J,Wei J H,Hong J,Lee S 2002 Phys.Rev.B 65 033305
[14] ］Du J,Li C G,Qin F 2009 Acta Phys. Sin. 58 576 (in Chinese)［杜坚、李春光、秦芳 2009 58 576］
[15] ］Rabaud W, Saminadayar L, Mailly D, Rabaud W, Samianadayar L, Mailly D, Hasselbach K, Benoit A, Etienne B 2001 Phys Rev.Lett. 86 3124
[16] ］Bouzerar G,Poilbanc D 1995 Phys.Rev. B 52 10772
[17] ］Chakraborty T,Pietilainen P 1994 Phys.Rev. B 50 8460
[18] ］Krokhin A A,Krive I V 1998 Superlattice and Microst. 23 485
[19] ］Emperador A,Barranco M,Lipparini E,Pi M,Serra L 1999 Phys.Rev.B 59 15301
[20] ］Berry M V 1984 Proc. Roy. Soc. Lond. Ser. A 392 45
[21] ］Loss D,Goldbart P M,Balatsky A V 1990 Phys.Rev.Lett. 65 1655
[22] ］Byers N,Yang C N 1961 Phys.Rev.Lett. 7 46
[23] ］Citro R,Romeo F,Marinaro M 2006 Phys.Rev. B 74 115329
[24] ］Meijer F E,Morpurgo A F,Klapwijk T M 2002 Phys.Rev. B 66 033107
[25] ］Molnar B,Peeters F M,Vasilopoulos P 2004 Phys.Rev. B 69 155335
[26] ］Wu H C,Guo Y,Chen X Y,Gu B L 2003 Phys.Rev. B 68 125330
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