Current status of the Kondo problem

Yu.N. Ovchinnikov^a, b, A.M. Dyugaev^c
^aLandau Institute for Theoretical Physics, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation
^bMax-Planck Institute of the Physics of Complex Systems, Dresden, Germany
^cLandau Institute for Theoretical Physics, Russian Academy of Sciences, prosp. Akademika Semenova 1A, Chernogolovka, Moscow Region, 142432, Russian Federation

It is shown that at zero temperature the magnetic field μH"T_K does not move the system from the strong coupling to the weak coupling regime. As a result, the average of the impurity spin approaches its saturation value as a power of the small parameter (2T_K/μH)². The study of the high-temperature expansion of the free energy shows that the Kondo problem contains at least two energy scales and that these scales are separated by the coupling constant. The Hamiltonian of the Kondo problem is not renormalizable.

PACS: 72.10.Fk, 72.15.Qm, 75.20.Hr (all)
DOI: 10.1070/PU2001v044n05ABEH000916
URL: https://ufn.ru/en/articles/2001/5/d/
Web of Science

000170938900004
Citation: Ovchinnikov Yu N, Dyugaev A M "Current status of the Kondo problem" Phys. Usp. 44 541–545 (2001)

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Оригинал: Овчинников Ю Н, Дюгаев А М «Современное состояние проблемы Кондо» УФН 171 565–570 (2001); DOI: 10.3367/UFNr.0171.200105d.0565