Dresden 2017 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 19: Poster Session: Correlated Electrons 1

TT 19.17: Poster

Montag, 20. März 2017, 15:00–19:00, P2-EG

Quantum Monte Carlo simulations of metallic quantum critical points — •Carsten Bauer¹, Yoni Schattner², Erez Berg², and Simon Trebst¹ — ¹Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany — ²Department of Condensed Matter Physics, The Weizmann Institute of Science, Rehovot, 76100, Israel

While quantum critical phenomena in insulators are relatively well understood, their metallic counterparts pose a substantial theoretical challenge since the order parameter fluctuations can interact with gapless fermionic excitations on the Fermi surface. This interplay, however, allows for a multitude of competing orders in the vicinity of a metallic quantum critical point including e.g. the formation of superconductivity when driving the metallic system through a phase transition.

Fortunately, it has recently been demonstrated that for certain classes of metallic quantum critical points this physics can be studied by determinant quantum Monte Carlo simulations, without suffering from the notorious fermion "sign problem". I will show numerically exact studies of the antiferromagnetic quantum critical point in two spatial dimensions and discuss techniques to improve on the scalability of the determinant quantum Monte Carlo approach.