非对称Anderson模型的重整微扰展开

黎欢

doi:10.7498/aps.59.8052

摘要

利用Yamada微扰论结合重整微扰方法来计算非对称Anderson模型,得到了局域电子占据数、重整化因子、重整化的局域能级以及重整化参数关于裸参数的展开式.计算了局域电子态密度和低温杂质电导,还计算了磁场对它们的影响,这些结果适用于从弱耦合到强耦合的整个耦合强度区域.由于在哈密顿量中已经将局域能级进行了初步重整,采用的重整微扰方法比Hewson的重整微扰方法更适合于研究非对称Anderson模型.

关键词:

Abstract

We generalize Yamadas perturbation theory and develop a renormalized perturbation method to study the asymmetric Anderson model. We obtain the occupancy of the local electrons,the renormalization factor,the renormalized energy level,and the renormalized parameters,which are expanded by the bare parameters. We also calculate the density of states of local electrons and the conductance of impurity scattering. The results coveres the range from weak to strong coupling. We find that the approach we adopted is more convenient than Hewsons renormalization method in studying the asymmetric Anderson model.

Keywords:

作者及机构信息

黎欢

1.
北京大学物理学院,北京 100871

基金项目: 国家自然科学基金(批准号:10674005)资助的课题.

Authors and contacts

Li Huan

1.
School of Physics,Peking University,Beijing 100871,China

参考文献

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[2]	Gordon D G,Shtrikman H,Mahalu D,Magder D A,Meirav U,Kastner M A 1998 Nature 391 156
[3]	Cronenwett S M,Oosterkamp T H,Kouwenhoven L P 1998 Science 281 540
[4]	Meir Y,Wingreen N S,Lee P A 1991 Phys. Rev. Lett. 66 3048
[5]	Meir Y,Wingreen N S 1992 Phys. Rev. Lett. 68 2512
[6]	Meir Y,Wingreen N S,Lee P A 1993 Phys. Rev. Lett. 70 2601
[7]	Deng Y X,Yan Y H,Tang N S 2006 Acta Phys. Sin. 55 2027 (in Chinese) [邓宇翔、颜晓红、唐娜斯 2006 55 2027 ]
[8]	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 2006 58 2720 ]
[9]	Wingreen N S,Meir Y 1994 Phys. Rev. B 49 11040
[10]	Read N,Newns D M 1983 J. Phys. C:Solid State Phys. 16 L1055
[11]	Houghton A,Read N,Won H 1987 Phys. Rev. B 35 5123
[12]	Chen M L,Wang S J 2007 Chin. Phys. 16 2096
[13]	Andrei N 1983 Rev. Mod. Phys. 55 331
[14]	Wiegmann P B,Tsvelick A M 1983 J. Phys. C:Solid State Phys. 16 228
[15]	Wilson K G 1975 Rev. Mod Phys. 47 773
[16]	Krishna H R,Wilkins J W,Wilson K G 1980 Phys. Rev. B 21 1003
[17]	Sun K W,Xiong S J 2006 Chin. Phys. 15 828
[18]	Yamada K 1975 Prog. Theor. Phys. 53 970
[19]	Oguri A 2001 Phys. Rev. B 64 153305
[20]	Neal H L,Collins D J 1993 Phys. Rev. B 48 4299
[21]	Fujii T,Ueda K 2003 Phys. Rev. B 68 155310
[22]	Hewson A C 1993 Phys. Rev. Lett. 70 4007
[23]	Hewson A C 2001 J. Phys:Condens. Matter 13 10011
[24]	Hewson A C,Bauer J,Koller W 2006 Phys. Rev. B 73 045117
[25]	Anderson P W 1961 Phys. Rev. 124 41
[26]	Nagaosa N 1999 Quantum Field Theory in Strongly Correlated Electron Systems (Berlin:Springer) p117
[27]	Clogston A M,Anderson P W 1961 Bull. Am. Phys. Soc. 6 124
[28]	Hewson A C,Oguri A,Meyer D 2004 Eur. Phys. J. B 40 177
[29]	Dong B,Lei X L 2001 Phys. Rev. B 63 235306
[30]	Hewson A C 1993 The Kondo Problem to Heavy Fermions (Londo:Cambridge University Press) p114
[31]	Hewson A C 1993 The Kondo Problem to Heavy Fermions (Londo:Cambridge University Press)
[32]	Logan D E,Dickens N L 2001 J. Phys.:Condens. Matter 13 9713
[33]	Moore J E,Wen X G 2000 Phys. Rev. Lett. 85 1722
[34]	Hershfield S 1991 Phys. Rev. Lett. 67 3720

施引文献

[1]	Kastner M A 1992 Rev. Mod. Phys. 64 849
[2]	Gordon D G,Shtrikman H,Mahalu D,Magder D A,Meirav U,Kastner M A 1998 Nature 391 156
[3]	Cronenwett S M,Oosterkamp T H,Kouwenhoven L P 1998 Science 281 540
[4]	Meir Y,Wingreen N S,Lee P A 1991 Phys. Rev. Lett. 66 3048
[5]	Meir Y,Wingreen N S 1992 Phys. Rev. Lett. 68 2512
[6]	Meir Y,Wingreen N S,Lee P A 1993 Phys. Rev. Lett. 70 2601
[7]	Deng Y X,Yan Y H,Tang N S 2006 Acta Phys. Sin. 55 2027 (in Chinese) [邓宇翔、颜晓红、唐娜斯 2006 55 2027 ]
[8]	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 2006 58 2720 ]
[9]	Wingreen N S,Meir Y 1994 Phys. Rev. B 49 11040
[10]	Read N,Newns D M 1983 J. Phys. C:Solid State Phys. 16 L1055
[11]	Houghton A,Read N,Won H 1987 Phys. Rev. B 35 5123
[12]	Chen M L,Wang S J 2007 Chin. Phys. 16 2096
[13]	Andrei N 1983 Rev. Mod. Phys. 55 331
[14]	Wiegmann P B,Tsvelick A M 1983 J. Phys. C:Solid State Phys. 16 228
[15]	Wilson K G 1975 Rev. Mod Phys. 47 773
[16]	Krishna H R,Wilkins J W,Wilson K G 1980 Phys. Rev. B 21 1003
[17]	Sun K W,Xiong S J 2006 Chin. Phys. 15 828
[18]	Yamada K 1975 Prog. Theor. Phys. 53 970
[19]	Oguri A 2001 Phys. Rev. B 64 153305
[20]	Neal H L,Collins D J 1993 Phys. Rev. B 48 4299
[21]	Fujii T,Ueda K 2003 Phys. Rev. B 68 155310
[22]	Hewson A C 1993 Phys. Rev. Lett. 70 4007
[23]	Hewson A C 2001 J. Phys:Condens. Matter 13 10011
[24]	Hewson A C,Bauer J,Koller W 2006 Phys. Rev. B 73 045117
[25]	Anderson P W 1961 Phys. Rev. 124 41
[26]	Nagaosa N 1999 Quantum Field Theory in Strongly Correlated Electron Systems (Berlin:Springer) p117
[27]	Clogston A M,Anderson P W 1961 Bull. Am. Phys. Soc. 6 124
[28]	Hewson A C,Oguri A,Meyer D 2004 Eur. Phys. J. B 40 177
[29]	Dong B,Lei X L 2001 Phys. Rev. B 63 235306
[30]	Hewson A C 1993 The Kondo Problem to Heavy Fermions (Londo:Cambridge University Press) p114
[31]	Hewson A C 1993 The Kondo Problem to Heavy Fermions (Londo:Cambridge University Press)
[32]	Logan D E,Dickens N L 2001 J. Phys.:Condens. Matter 13 9713
[33]	Moore J E,Wen X G 2000 Phys. Rev. Lett. 85 1722
[34]	Hershfield S 1991 Phys. Rev. Lett. 67 3720

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