On quantum Griffiths effects in metallic systems

Abstract

Elementary analytical extremal statistics arguments are used to analyse the possibility of quantum Griffiths effects in nearly critical systems with overdamped dynamics, such as arise in conventional theories of metallic quantum criticality. The overdamping is found to strongly suppress quantum tunnelling of rare regions, leading to superparamagnetic rather than quantum griffiths behavior. Implications for theories of non-fermi-liquid behavior in heavy fermion materials are discussed.

Revised version. Minor errors in section B4 corrected, discussion amplified in several places; discussion of relation of this work to that of PRB62 11475 amended and amplified

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