Abstract
The calculation of the Kondo cloud is extended to disordered hosts. For a weakly disordered, large three-dimensional host, the structure of the ground state is very close to the pure host. However, the range of the disordered electron basis is much shorter. The extention of the Kondo cloud is essentially given by \(\sqrt {\xi _{K}l}\) where ξ K is the Kondo length in the pure host and l is the mean free path.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Notes
We arrive at the final Ψ S S by initially building the two fair states \(a_{0}^{\dagger }\) and \(b_{0}^{\dagger }\) out of the Wilson basis \(\left \{ c_{\nu }^{\dagger }\right \} \). The fair states define the full bases \(\left \{ a_{i}^{\dagger }\right \} \) and \(\left \{ b_{i}^{\dagger }\right \} \) uniquely. Then the energy expectation value of Ψ S S is calculated and the fair states \(a_{0}^{\dagger }\) and \(b_{0}^{\dagger }\) are varied until Ψ S S with the lowest energy is obtained. The initial \(a_{0}^{\dagger }\) and \(b_{0}^{\dagger }\) can be arbitrary but different. An educated guess reduces the variation time. Details are in ref. [5].
References
Kondo, J.: Prog. Theor. Phys. 32, 37 (1964)
Hewson, A.C. The Kondo problem to heavy fermions. Cambridge University Press (1993)
Bulla, R., Costi, T.A., Pruschke, T.: Rev. Mod. Phys. 80, 395 (2008)
Latta, C., Haupt, F., Hanl, M., Weichselbaum, A., Claassen, M., Wuester, W., Fallahi, P., Faelt, S., Glazman, L., von Delft, J., Türeci, H.E., Imamoglu, A.: Nature 474, 627 (2011)
Bergmann, G.: J. Supercond. Nov. Magn. 25, 609 (2012)
Horwitz, G., Alexander, S., Fibich, M.: Phys. Rev. 168, 495 (1968)
Anderson, P.W., Yuval, G.: Phys. Rev. Lett. 23, 89 (1969)
Boyce, J.B., Slichter, C.P.: Phys. Rev. Lett. 32, 61 (1974)
Sorensen, E.S., Affleck, I.: Phys. Rev. B 53, 9153 (1996)
Barzykin, V., Affleck, I.: Phys. Rev. Lett. 76, 4959 (1996)
Affleck, I., Simon, P.: Phys. Rev. Lett. 86, 2854 (2001)
Simon, P., Affleck, I.: Phys. Rev. Lett. 89, 206602 (2002)
Kroha, J., Kirchner, S., Sellier, G., Woelfle, P., Ehm, D., Reinert, F., Hüfner, S., Geibel, C.: Physica E 18, 69 (2003)
Pereira, R.G., Laflorencie, N., Affleck, I., Halperin, B.I.: arXiv:cond-mat/0612635(2007)
Borda, L.: Phys. Rev. B 75, 041307(R) (2007)
Simonin, J.: arXiv:0708.3604 (2007)
Affleck, I., Borda, L., Saleur, H.: Phys. Rev. B 77, 180404(R) (2008)
Bergmann, G.: Phys. Rev. B 77, 104401 (2008)
Bergmann, G.: Phys. Rev. B 78, 195124 (2008)
Bergmann, G.: Eur. Phys. J. B 75, 497 (2010)
Bergmann, G., Thompson, R.S.: Eur. Phys. J. B 84, 273 (2011)
Holzner, A., McCulloch, I.P., Schollwöck, U., von Delft, J., Heidrich-Meisner, F.: Phys. Rev. B 80, 205114 (2009)
Bergmann, G., Tao, Y.: Eur. Phys. J. B 73, 95 (2010)
Buesser, C.A., Martins, G.B., Costa Ribeiro, L., Vernek, E., Anda, E.V., Dagotto, E.: Phys. Rev. B 81, 045111 (2010)
Vojta, M., Fritz, L., Bulla, R.: Europhys. Lett. 90, 27006 (2010)
Park, J., Lee, S.-S. B., Oreg, Y., Sim, H.-S.: Phys. Rev. Lett. 110, 246603 (2013)
Schrieffer, J.R.: J. Appl. Phys. 38, 1143 (1967)
Dobrosavljević, V., Kirkpatrick, T.R., Kotliar, B.G.: Phys. Rev. Lett. 69, 1113 (1992)
Kettemann, S., Mucciolo, E.R.: Phys. Rev. B 75, 184407 (2007)
Kettemann, S., Mucciolo, E.R., Varga, I., Slevin, K.: Phys. Rev. B 85, 115112 (2012)
Bergmann, G.: Phys. Rev. B 74, 144420 (2006)
Bergmann, G.: Phys. Rev. B 73, 092418 (2006)
Bergmann, G., Zhang, L.: Phys. Rev. B 76, 064401 (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bergmann, G., Thompson, R.S. Range of the Kondo Cloud in Weakly Disordered Hosts. J Supercond Nov Magn 28, 2109–2114 (2015). https://doi.org/10.1007/s10948-015-3005-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-015-3005-x