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Spectral scaling and quantum critical behaviour in the pseudogap Anderson model

M. T. Glossop et al 2003 Europhys. Lett. 61 810-816   doi: 10.1209/epl/i2003-00306-3  Help

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M. T. Glossop and D. E. Logan
Oxford University, Physical and Theoretical Chemistry Laboratory South Parks Road, Oxford OX1 3QZ, UK

Abstract. The pseudogap Anderson impurity model provides a classic example of an essentially local quantum phase transition. Here we study its single-particle dynamics in the vicinity of the symmetric quantum critical point (QCP) separating generalized Fermi-liquid and local-moment phases, via the local-moment approach. Both phases are shown to be characterized by a low-energy scale that vanishes at the QCP; and the universal scaling spectra, on all energy scales, are obtained analytically. The spectrum precisely at the QCP is also obtained; its form showing clearly the non–Fermi-liquid, interacting nature of the fixed point.

PACS numbers: 71.27.+a, 75.20.Hr

Print publication: Issue 6 (March 2003)
Received 4 November 2002, in final form and accepted for publication 14 January 2003

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