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The influence of phonon and megnetic field on property of polaron in quantum ring was studied by solving precisely the energy eigen-equation, unitary transformation and variational method. The numerical calculation for KBr quantum ring showed that the ground state energy of electron or polaron increases with increasing frequency (or the averaging radius) of the quantum ring, the polaron energy shift decreases with increasing frequency (or decreasing averaging radius) of the quantum ring, and the mean phonon number increases with increasing frequency (or decreasing averaging radius) of the quantum ring. When a perpendicular magnetic field is present, the energy levels of the polaron may cross, the ground state changes from the state with m=0 to that with m=-1,-2,-3,…, and the ground state energy makes non-periodical oscillation with increasing magnetic field strength; the polaron energy shift decreases with increasing magnetic field strength (or absolute value of quantum number |m|).
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Keywords:
- quntum ring /
- polaron /
- energy state /
- energy shift
[1] Zhang Y F, Jia J F, Han T Z, Tang Z, Shen Q T, Guo Y, Xue Q K 2005 Chin. Phys. 14 1910
[2] Liu X J, Gao K, Li Y, Wei J H, Xie S J 2007 Chin. Phys. 16 2091
[3] Oliveira B P W, Haas S 2009 Phys. Rev. B 79 155102
[4] Stauber T, Vasilevskiy M I 2009 Phys. Rev. B 79 113301
[5] Harouni M B, Roknizadeh R, Naderi M H 2009 Phys. Rev. B 79 165304
[6] Wu Z J, Zhu K D, Yuan X Z, Zheng H 2005 Acta Phys. Sin. 54 3346(in Chinese) [吴卓杰、朱卡的、袁晓忠、郑 杭 2005 54 3346]
[7] Ma Y B 2009 Acta Phys. Sin. 58 4901(in Chinese) [马玉彬 2009 58 4901]
[8] Yu C F, Liang G D , Cao X J 2008 Acta Phys. Sin. 57 4402(in Chinese) [余超凡、梁国栋、曹锡金 2008 57 4402]
[9] Hou J H, Liang X X 2007 Chin. Phys. 16 3059
[10] Liu Y F, Xiao J L 2008 Acta Phys. Sin. 57 3324 (in Chinese) [刘云飞、肖景林 2008 57 3324]
[11] Lee B C, Voskoboynikov O, Lee C P 2004 Physica E 24 87
[12] Castelano L K, Hai G Q, Partoens B, Peeters F M 2008 Phys. Rev. B 78 195315
[13] Liu Y M, Huag G M, Shi T Y 2008 Phys. Rev. B 77 115311
[14] Li S S, Xia J B 2001 J. Appl. Phys. 89 3434
[15] Li S S, Xia J B 2002 J. Appl. Phys. 91 3227
[16] Filikhin I, Deyneka E, Melikyan H, Vlahovic B 2005 Mol. Simulat. 31 779
[17] Filikhin I, Suslov V M, Vlahovic B 2006 Physica E 33 349
[18] Bruno-Alfonso A, Latge A 2008 Phys. Rev. B 77 205303
[19] Gao K Y, Zhao C L 2008 Acta Phys. Sin. 57 4446 (in Chinese) [高宽云、赵翠兰 2008 57 4446]
[20] Jiang F S, Zhao C L 2009 Acta Phys. Sin. 58 6786 (in Chinese)[姜福仕、赵翠兰 2009 58 6786]
[21] Kovalev V M, Chaplik A V 2005 J. Exp. Theor. Phys. 101 686
[22] Tan W C, Inkson J C 1996 Phys.Rev. B 53 6947
[23] Oshiro K, Akai K, Matsuura M 1998 Phys.Rev. B 58 7986
[24] Jiang F S 2009 MS Thesis (Tongliao: Inner Mongolia University for the Nationalities) (in Chinese) [姜福仕 2009硕士学位论文(通辽: 内蒙古民族大学)]
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[1] Zhang Y F, Jia J F, Han T Z, Tang Z, Shen Q T, Guo Y, Xue Q K 2005 Chin. Phys. 14 1910
[2] Liu X J, Gao K, Li Y, Wei J H, Xie S J 2007 Chin. Phys. 16 2091
[3] Oliveira B P W, Haas S 2009 Phys. Rev. B 79 155102
[4] Stauber T, Vasilevskiy M I 2009 Phys. Rev. B 79 113301
[5] Harouni M B, Roknizadeh R, Naderi M H 2009 Phys. Rev. B 79 165304
[6] Wu Z J, Zhu K D, Yuan X Z, Zheng H 2005 Acta Phys. Sin. 54 3346(in Chinese) [吴卓杰、朱卡的、袁晓忠、郑 杭 2005 54 3346]
[7] Ma Y B 2009 Acta Phys. Sin. 58 4901(in Chinese) [马玉彬 2009 58 4901]
[8] Yu C F, Liang G D , Cao X J 2008 Acta Phys. Sin. 57 4402(in Chinese) [余超凡、梁国栋、曹锡金 2008 57 4402]
[9] Hou J H, Liang X X 2007 Chin. Phys. 16 3059
[10] Liu Y F, Xiao J L 2008 Acta Phys. Sin. 57 3324 (in Chinese) [刘云飞、肖景林 2008 57 3324]
[11] Lee B C, Voskoboynikov O, Lee C P 2004 Physica E 24 87
[12] Castelano L K, Hai G Q, Partoens B, Peeters F M 2008 Phys. Rev. B 78 195315
[13] Liu Y M, Huag G M, Shi T Y 2008 Phys. Rev. B 77 115311
[14] Li S S, Xia J B 2001 J. Appl. Phys. 89 3434
[15] Li S S, Xia J B 2002 J. Appl. Phys. 91 3227
[16] Filikhin I, Deyneka E, Melikyan H, Vlahovic B 2005 Mol. Simulat. 31 779
[17] Filikhin I, Suslov V M, Vlahovic B 2006 Physica E 33 349
[18] Bruno-Alfonso A, Latge A 2008 Phys. Rev. B 77 205303
[19] Gao K Y, Zhao C L 2008 Acta Phys. Sin. 57 4446 (in Chinese) [高宽云、赵翠兰 2008 57 4446]
[20] Jiang F S, Zhao C L 2009 Acta Phys. Sin. 58 6786 (in Chinese)[姜福仕、赵翠兰 2009 58 6786]
[21] Kovalev V M, Chaplik A V 2005 J. Exp. Theor. Phys. 101 686
[22] Tan W C, Inkson J C 1996 Phys.Rev. B 53 6947
[23] Oshiro K, Akai K, Matsuura M 1998 Phys.Rev. B 58 7986
[24] Jiang F S 2009 MS Thesis (Tongliao: Inner Mongolia University for the Nationalities) (in Chinese) [姜福仕 2009硕士学位论文(通辽: 内蒙古民族大学)]
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