Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2005-06-27
J. Phys.: Condens. Matter 17, 6935 (2005)
Physics
Condensed Matter
Strongly Correlated Electrons
14 pages, 12 figures
Scientific paper
10.1088/0953-8984/17/43/012
The numerical renormalization group method is used to investigate zero temperature phase transitions in quantum impurity systems, in particular in the particle-hole symmetric soft-gap Anderson model. The model displays two stable phases whose fixed points can be built up of non-interacting single-particle states. In contrast, the quantum phase transitions turn out to be described by interacting fixed points, and their excitations cannot be described in terms of free particles. We show that the structure of the many-body spectrum of these critical fixed points can be understood using renormalized perturbation theory close to certain values of the bath exponents which play the role of critical dimensions. Contact is made with perturbative renormalization group calculations for the soft-gap Anderson and Kondo models. A complete description of the quantum critical many-particle spectra is achieved using suitable marginal operators; technically this can be understood as epsilon-expansion for full many-body spectra.
Bulla Ralf
Lee Hyun-Jung
Vojta Matthias
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