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Quantum Critical Behavior of the Cluster Glass Phase

Matthew J. Case·V. Dobrosavljevic
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Abstract

In disordered itinerant magnets with arbitrary symmetry of the order parameter, the conventional quantum critical point between the ordered phase and the paramagnetic Fermi-liquid (PMFL) is destroyed due to the formation of an intervening cluster glass (CG) phase. In this Letter we discuss the quantum critical behavior at the CG-PMFL transition for systems with continuous symmetry. We show that fluctuations due to quantum Griffiths anomalies induce a first-order transition from the PMFL at T=0, while at higher temperatures a conventional continuous transition is restored. This behavior is a generic consequence of enhanced non-Ohmic dissipation caused by a broad distribution of energy scales within any quantum Griffiths phase in itinerant systems.

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Matthew J. Case, V. Dobrosavljevic. 2007-10-22. Quantum Critical Behavior of the Cluster Glass Phase. https://doi.org/10.1103/physrevlett.99.147204

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