Breakdown of renormalizability in the Kondo problem in the high-temperature expansion of the free energy |
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| Authors: | Yu N Ovchinnikov A M Dyugaev |
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| Institution: | (1) Max-Planck-Institutefor the Physics of Complex Systems, Dresden, D-01187, Germany;(2) Landau Institute of Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow oblast, 142432, Russia |
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| Abstract: | It is shown that there are two energy scales in the Kondo problem: T k and T 0, one of which (T k) is exponentially small in the coupling constant g. The second scale T 0is proportional to the squared coupling constant. Perturbation theory is valid only in the region T? T 0. The point T 0 is apparently the crossover from weak to strong coupling. The first indications of the breakdown of the hypothesis of only one energy scale in the Kondo problem appear in fourth order of perturbation theory. |
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