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Regensburg 2016 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 35: Correlated Electrons: Quantum-Critical Phenomena - Theory

TT 35.5: Vortrag

Dienstag, 8. März 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 Sachdev1,21Department 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)

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