KMI-EHQG Joint Colloquium
"Scaling laws for thermo-electric transport at quantum criticality"
Andreas Karch
(Washington University)
July 14, 2015 (Tue) 17:00-
KMI Science Symposia (ES635)
Abstract:
Transport properties at quantum critical points are strongly constrained by dimensional analysis. They are typically governed by two critical exponents: the dynamical critical exponent z determining the relative scaling of spatial and temporal coordinates and the hyperscaling violating exponent theta. We will show that in general response to electromagnetic fields requires a third exponent, an anomalous dimension for the coupling to background fields. We show that this exponent is generically non-zero in critical points constructed via holography and discuss its potential relevance to the physics of cuprates.
Transport properties at quantum critical points are strongly constrained by dimensional analysis. They are typically governed by two critical exponents: the dynamical critical exponent z determining the relative scaling of spatial and temporal coordinates and the hyperscaling violating exponent theta. We will show that in general response to electromagnetic fields requires a third exponent, an anomalous dimension for the coupling to background fields. We show that this exponent is generically non-zero in critical points constructed via holography and discuss its potential relevance to the physics of cuprates.