Abstract
A single-level Anderson-Holstein model is investigated using the Lang-Firsov transformation followed by a zero-phonon averaging and the Kikuchi-Morita Cluster variation method as adopted by Bose and Tanaka in the case of Anderson model. The ground state energy of the system at zero temperature and the binding energy between the magnetic impurity and the conduction electrons are calculated for the symmetric case ε d = −(U/2). Subsequently, the effect of the electron-phonon interaction on the ground state energy and the binding energy is investigated.
Similar content being viewed by others
References
Y. Tokura, N. Nagaosa, Science 288, 462 (2000)
A.C. Hewson, D. Meyer, J. Phys.: Condens. Matter 10, 196401 (2002)
T. Hotta, J. Phys. Soc. Jpn 76, 084702 (2007)
P.S. Cornaglia, G. Usaj, C.A. Balserio, Phys. Rev. B 76, 241403 (2007)
R.C. Monreal, A.M. Rodero, Phys. Rev. B 79, 115140 (2009)
D.M.-T. Kuo, Y.C. Chang, Phys. Rev. B 66, 085311 (2002)
U. Lundin, R.H. McKenzie, Phys. Rev. B 66, 075303 (2002)
G.S. Jeon, T.H. Park, H.Y. Choi, Phys. Rev. B 68, 045106 (2003)
T. Koch, H. Fehske, J. Loos, Phys. Scr. 2012, 014039 (2012)
Zuo-Zi Chen et al., J. Phys.: Condens. Matter 18, 5435 (2006)
T. Holstein, Ann. Phys. 8, 325 (1959)
R. Kikuchi, Phys. Rev. 81, 988 (1951)
T. Morita, J. Phys. Soc. Jpn 12, 1060 (1957)
S.M. Bose, T. Tanaka, Phys. Rev. 176, 600 (1968)
S.M. Bose, T. Tanaka, J. Phys. C 3, 958 (1970)
J. Halow, T. Tanaka, T. Morita, Phys. Rev. 175, 680 (1968)
I.G. Lang, Yu.A. Firsov, Zh. Eksp. Teor. 43, 923 (1963) [Sov. Phys. JEPT 16, 1301 (1963)]
Y. Takada, A. Chatterjee, Phys. Rev. B 67, 081102(R) (2003)
A. Chatterjee, Y. Takada, J. Phys. Soc. Jpn 73, 964 (2004)
P.M. Krishna, A. Chatterjee, Physica C 457, 55 (2007)
T. Morita, T. Tanaka, Phys. Rev. 145, 288 (1966)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Narasimha Raju, C., Chatterjee, A. Binding energy between the magnetic impurity electron and the conduction electrons in the Anderson-Holstein model. Eur. Phys. J. B 86, 493 (2013). https://doi.org/10.1140/epjb/e2013-40276-y
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2013-40276-y