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We generalize Yamadas 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 Hewsons renormalization method in studying the asymmetric Anderson model.
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Keywords:
- asymmetric Anderson model /
- renormalized perturbation /
- magnetic field
[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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[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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