Reply to Millis et al. on "A Tale of Two Theories: Quantum Griffiths Effects in Metallic Systems"

Abstract

In a recent paper (cond-mat/0411197) we showed the equivalence of two seemingly contradictory theories on Griffiths-McCoy singularities (GMS) in metallic antiferromagnets close to a quantum critical point (QCP). In a recent comment, Millis {\it et al.} (cond-mat/0411738) argue that in heavy-fermion materials the electronic damping is large leading to the freezing of locally magnetically ordered droplets at high temperatures. In this reply we show that this erroneous conclusion is based on a treatment of the problem of disorder close to a QCP which is not self-consistent. We argue that a self-consistent treatment of the ordered droplets must lead to weak damping and to a large region of GMS behavior, in agreement with the our ealier results.

2 pages. Updated version

References in corpus (5)

• On quantum Griffiths effects in metallic systems
• Continuous quantum phase transition in a Kondo lattice model
• Consequences of the local spin self-energy approximation on the heavy Fermion quantum phase transition
• A Tale of Two Theories: Quantum Griffiths Effects in Metallic Systems
• Comment on "A Tale of Two Theories: Quantum Griffiths Effects in Metallic Systems" by A. H. Castro-Neto and B. A. Jones

Cited by in corpus (5)

• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Quantum Griffiths effects and smeared phase transitions in metals: theory and experiment
• Percolation transition and dissipation in quantum Ising magnets
• Electronic Griffiths Phase in the Te - Doped Semiconductor FeSb${}_2$
• Electron transmission between normal and heavy electron metallic phases in a Kondo lattice system