Quantum criticality with multiple dynamics

Tobias Meng, Achim Rosch, and Markus Garst
Phys. Rev. B 86, 125107 – Published 6 September 2012

Abstract

Quantum critical systems with multiple dynamics possess not only one but several time scales, τiξzi, which diverge with the correlation length ξ. We investigate how scaling predictions are modified for the simplest case of multiple dynamics characterized by two dynamical critical exponents, z> and z<. We argue that one should distinguish the case of coupled and decoupled multiple dynamic scaling depending on whether there exists a scaling exponent which depends on both zi. As an example, we study generalized Φ4 theories with multiple dynamics below their upper critical dimension, d+z<<4. We identify under which condition coupled scaling is generated. In this case the interaction of quantum and classical fluctuations leads to an emergent dynamical exponent, ze=z>ν(z>z<)+1.

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  • Received 18 May 2012

DOI:https://doi.org/10.1103/PhysRevB.86.125107

©2012 American Physical Society

Authors & Affiliations

Tobias Meng, Achim Rosch, and Markus Garst

  • Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77, 50937 Köln, Germany

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Issue

Vol. 86, Iss. 12 — 15 September 2012

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