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TT: Fachverband Tiefe Temperaturen
TT 35: Correlated Electrons: Quantum-Critical Phenomena - Theory
TT 35.5: Talk
Tuesday, March 8, 2016, 15:00–15:15, H21
Violation of hyperscaling at the Ising-nematic quantum critical point in a two-dimensional metal — •Andreas Eberlein1, Ipsita Mandal2, and Subir Sachdev1,2 — 1Department of Physics, Harvard University, Cambridge, USA — 2Perimeter Institute for Theoretical Physics, Waterloo, Canada
Spatially isotropic critical quantum states in d spatial dimensions which have the hyperscaling property have an optical conductivity that scales as ω(d−2)/z for high frequencies ω>>T, where T is the temperature and z the dynamic critical exponent. We examine the Ising-nematic quantum critical point in d=2 using the fixed point theory[1] and compute the optical conductivity in an expansion in є=5/2−d. We show that hyperscaling is violated at this quantum critical point and discuss the scaling behaviour of the optical conductivity at T=0.
[1] Dalidovich and Lee, PRB 88, 245106 (2013)