Publication year
2006Source
Annals of Physics, 321, 8, (2006), pp. 1762-1789ISSN
Publication type
Article / Letter to editor

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Organization
Theory of Condensed Matter
Journal title
Annals of Physics
Volume
vol. 321
Issue
iss. 8
Page start
p. 1762
Page end
p. 1789
Subject
Theory of Condensed MatterAbstract
Using Feynman path integral technique estimations of the ground state energy have been found for a conduction electron interacting with order parameter fluctuations near quantum critical points. In some cases only singular perturbation theory in the coupling constant emerges for the electron ground state energy. It is shown that an autolocalized state (quantum fluctuon) can be formed and its characteristics have been calculated depending on critical exponents for both weak and strong coupling regimes. The concept of fluctuon is considered also for the classical critical point (at finite temperatures) and the difference between quantum and classical cases has been investigated. It is shown that, whereas the quantum fluctuon energy is connected with a true boundary of the energy spectrum, for classical fluctuon it is just a saddle-point solution for the chemical potential in the exponential density of states fluctuation tail. (c) 2006 Elsevier Inc. All rights reserved.
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