Theory of the interaction between electrons and the two-level system in amorphous metals. II. Second-order scaling equations

K. Vladar, A. Zawadowski

Research output: Contribution to journalArticle

118 Citations (Scopus)

Abstract

A general Hamiltonian for the interaction between conduction electrons and the two-level system is considered. Renormalization-group equations of second order are constructed with the use of the multiplicative renormalization-group technique. The mass renormalization is treated in detail to determine the effect of screening by conduction electrons on the energy splitting E. The crossover temperature TK=D(vxvz)12(vx4vz)14vz between the weak and strong coupling regions is determined, and it is reduced by 2 orders of magnitude compared to the expression obtained in first-order scaling. The scaled values of the couplings are calculated analytically. In the crossover region the off-diagonal couplings are vvy18. The crossover temperature can be found in the region of physical interest (TK>1 K) if the initial diagonal coupling vz>0.2. In this case, the energy splitting calculated is reduced by more than 2 orders of magnitude. That reduction results in a large enhancement in the distribution of the energy splitting at the low-energy side. The position of the lower end of the scaling region is discussed where scaling in terms of temperature is hindered by the energy splitting.

Original languageEnglish
Pages (from-to)1582-1595
Number of pages14
JournalPhysical Review B
Volume28
Issue number3
DOIs
Publication statusPublished - 1983

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Metals
scaling
Electrons
crossovers
metals
Hamiltonians
electrons
conduction electrons
interactions
Temperature
energy
Screening
temperature
screening
augmentation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Theory of the interaction between electrons and the two-level system in amorphous metals. II. Second-order scaling equations. / Vladar, K.; Zawadowski, A.

In: Physical Review B, Vol. 28, No. 3, 1983, p. 1582-1595.

Research output: Contribution to journalArticle

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