Abstract
Quantum critical systems with multiple dynamics possess not only one but several time scales, , which diverge with the correlation length . We investigate how scaling predictions are modified for the simplest case of multiple dynamics characterized by two dynamical critical exponents, and . 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 . As an example, we study generalized theories with multiple dynamics below their upper critical dimension, . 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, .
- Received 18 May 2012
DOI:https://doi.org/10.1103/PhysRevB.86.125107
©2012 American Physical Society