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Based on the efficacy of the phonon coherent state and with consideration of the non-classical effect of the squeezed state of phonon, the influence of the electron-magnon interaction and the electron-phonon interaction on the persistent current in one-dimensional mesoscopic ring is studied. Compared with the free ring, our study shows that in one-dimensional mesoscopic ring, the amplitude of the persistent current exponentially diminishes due to the electron-magnon interaction. For the normal state electron, the interaction of the electron-phonon causes the persistent current to weakendce to the Debye-Waller effect. However, taking the correlation between the hopping electron states and the one-phonon coherent states into the equation, the ground energy of the mesoscopic system is declined in a large scale. In result, the persistent current In is increased substantially. On the other hand, taking the behavior of the two-phonon coherent state into account, as the effect of the squeezed states of phonons maintains the phase coherence of electrons, so the Debye-Waller attenuation is weakened effectively. Especially, when the squeezed angle is larger, because of the non-adiabatic correlation between the squeezed-phonon states and the coherent states of phonon, it causes a significant decline in the ground state energy and a significant increase in the squeezed angle, thus persistent current has a even more significant increase. It should be pointed out, that the persistent current shows period oscillation as the external magnetic flux changes. Even the external magnetic flux Φem=0, still the persistent current of the intrinsic has I ~ n≠0. The system continuoues to support the equilibrium spin and charge flow, the external magnetic flux only plays the role of an adiabatic parameter.
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Keywords:
- persistent current /
- electron-phonon interaction /
- phonon coherent state /
- squeezed phonon state
[1] Buttiker M, Imry Y, Landauer R 1983 Phys. Lett. A 96 365
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[6] Ambegaoker V, Eckern U 1990 Phys. Lett. 65 381
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[8] Bouzerar G, Poilblanc D, Monlambaux G 1994 Phys. Rev. B 49 8258
[9] Lévy L P, Dolan G, Dansmuir J, Bouchait H 1990 Phys. Rev. Lett. 64 2074
[10] Mailly D, Chapelier C, Benoid A 1993 Phys. Rev. Lett. 70 2120
[11] Grüner G 1994 Rev. Mod. Phys. 66 1
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[13] Giamarchi T, Shastry B S 1995 Phys. Rev. B51 10915
[14] Wang J, Ma Z S 1995 Phys. Rev. B52 14892
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[16] Citro R,Romeo F 2007 Phys. Rev. B 75 73306
[17] Sun Q F, Xie X C, Wang J 2007 Phys. Rev. Lett. 98 196801
[18] Niliionl J, Hans-Peter Eckler, Johanness-onr 2007 Phys. Rev. B 76 73408
[19] Zhao H K 2005 Phys. Lett. A 342 468
[20] Liang F Y, Li H M, Li Y J 2006 Acta Phys. Sin. 55 830 (in Chinese) [梁芳营、 李汉明、 李英骏 2006 年物理学报 55 830]
[21] Wu S Q, He Z, Yan, C H, Chen X W, Sun W L 2006 Acta Phys. Sin. 55 1413 (in Chinese) [吴绍全、 何 忠、 阎从华、 谌雄文、 孙威立 2006 年物理学报 55 1413]
[22] Chen X W, He D J, Wu S Q, Song K H 2006 Acta Phys. Sin.
[23] Sheng J S, Kai Chang 2006 Phys. Rev. B 74 235315
[24] Wu J N, Chang M C 2005 Phys. Rev. B 72 172405
[25] Ji Y H, liu Y M, Xin J Z, Xie F S, Lei M S 2004 Acta Phys. Sin. 53 1207 (in Chinese) [嵇英华、 刘咏梅、 辛建之、 谢芳森、 雷敏生 2004 物理学报 53 1027]
[26] Wu S Q, Sun W L, Yu W L, Wang S J 2005 Acta Phys. Sin. 54 2910 (in Chinese) [吴绍全、 孙威立、 余万伦、 王顺金 2005 物理学报 54 2910]
[27] Wu Hong 2008 Chin. Phys. B 17 3026
[28] Liu P, Xiong S J 2009 Chin. Phys. B 18 5414
[29] Xu N, Ding J W, Ma M M, Tang X 2010 Chin. Phys. B 19 016101
[30] 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物理学报 58 2726]
[31] Xu N, Ding J W, Chen H B, Ma M M 2009 Chine. Phys. B 18 2030
[32] Hamutal B S, Ora Entin-Wohlman, Imryl Y 2009 Phys. Rev. B 80 02459
[33] Bouchiat H 2008 Mesoscopics Phys. 1 7
[34] Zelgak O, Murthy 2008 Phys. Rev. B 78 125305
[35] Feilhauer J, Mo ko M 2008 Physica E 40 1582
[36] Loss D, Goldbart P 1991 Phys. Rev. B 43 13762 Loss D, Goldbart P 1992 Phys. Rev. B 45 13544
[37] Kusakabe K, Aoki H 1994 Phys. Rev. Lett. 72 144
[38] Majernikava E, Koval J 1998 Physica 37 23
[39] Ivanov V A, Zhuravlev M Ye, Murayama Y, Nakajima S 1996 JETP Lett. 64 148
[40] Wu S S, Ma Z S 1996 Phys. Rev. B 53 16372
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[1] Buttiker M, Imry Y, Landauer R 1983 Phys. Lett. A 96 365
[2] [3] Chandrasekhar V, Webb R A, Brady M J, Ketchen M B, Gailagher W J, Kleinsasser A 1991 Phys. Rev. Lett. 67 3578
[4] 55 4287 (in Chinese) [谌雄文、 贺达江、吴绍全、宋克慧 2006物理学报 55 4287] [21] Dajkal J,Szopal M, Voardas, Zipperl 2004 Phys. Rev. B 69 45305
[5] Cheung H F, Gefen Y, Riedel E K, Shih W H 1988 Phys. Rev. B 37 6050
[6] Ambegaoker V, Eckern U 1990 Phys. Lett. 65 381
[7] Altshuler B L, Gelfan Y, Imry Y 1991 Phys. Rev. Lett. 66 88
[8] Bouzerar G, Poilblanc D, Monlambaux G 1994 Phys. Rev. B 49 8258
[9] Lévy L P, Dolan G, Dansmuir J, Bouchait H 1990 Phys. Rev. Lett. 64 2074
[10] Mailly D, Chapelier C, Benoid A 1993 Phys. Rev. Lett. 70 2120
[11] Grüner G 1994 Rev. Mod. Phys. 66 1
[12] Ye J F, Ye H, Ding G H 2003 Acta Phys. Sin. 52 468 (in Chinese) [叶剑斐、 叶 辉、 丁国辉 2003年物理学报 52 468]
[13] Giamarchi T, Shastry B S 1995 Phys. Rev. B51 10915
[14] Wang J, Ma Z S 1995 Phys. Rev. B52 14892
[15] Liang S D,Bai Y H, Beng B 2006 Phys. Rev. B 74 113304
[16] Citro R,Romeo F 2007 Phys. Rev. B 75 73306
[17] Sun Q F, Xie X C, Wang J 2007 Phys. Rev. Lett. 98 196801
[18] Niliionl J, Hans-Peter Eckler, Johanness-onr 2007 Phys. Rev. B 76 73408
[19] Zhao H K 2005 Phys. Lett. A 342 468
[20] Liang F Y, Li H M, Li Y J 2006 Acta Phys. Sin. 55 830 (in Chinese) [梁芳营、 李汉明、 李英骏 2006 年物理学报 55 830]
[21] Wu S Q, He Z, Yan, C H, Chen X W, Sun W L 2006 Acta Phys. Sin. 55 1413 (in Chinese) [吴绍全、 何 忠、 阎从华、 谌雄文、 孙威立 2006 年物理学报 55 1413]
[22] Chen X W, He D J, Wu S Q, Song K H 2006 Acta Phys. Sin.
[23] Sheng J S, Kai Chang 2006 Phys. Rev. B 74 235315
[24] Wu J N, Chang M C 2005 Phys. Rev. B 72 172405
[25] Ji Y H, liu Y M, Xin J Z, Xie F S, Lei M S 2004 Acta Phys. Sin. 53 1207 (in Chinese) [嵇英华、 刘咏梅、 辛建之、 谢芳森、 雷敏生 2004 物理学报 53 1027]
[26] Wu S Q, Sun W L, Yu W L, Wang S J 2005 Acta Phys. Sin. 54 2910 (in Chinese) [吴绍全、 孙威立、 余万伦、 王顺金 2005 物理学报 54 2910]
[27] Wu Hong 2008 Chin. Phys. B 17 3026
[28] Liu P, Xiong S J 2009 Chin. Phys. B 18 5414
[29] Xu N, Ding J W, Ma M M, Tang X 2010 Chin. Phys. B 19 016101
[30] 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物理学报 58 2726]
[31] Xu N, Ding J W, Chen H B, Ma M M 2009 Chine. Phys. B 18 2030
[32] Hamutal B S, Ora Entin-Wohlman, Imryl Y 2009 Phys. Rev. B 80 02459
[33] Bouchiat H 2008 Mesoscopics Phys. 1 7
[34] Zelgak O, Murthy 2008 Phys. Rev. B 78 125305
[35] Feilhauer J, Mo ko M 2008 Physica E 40 1582
[36] Loss D, Goldbart P 1991 Phys. Rev. B 43 13762 Loss D, Goldbart P 1992 Phys. Rev. B 45 13544
[37] Kusakabe K, Aoki H 1994 Phys. Rev. Lett. 72 144
[38] Majernikava E, Koval J 1998 Physica 37 23
[39] Ivanov V A, Zhuravlev M Ye, Murayama Y, Nakajima S 1996 JETP Lett. 64 148
[40] Wu S S, Ma Z S 1996 Phys. Rev. B 53 16372
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