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TT: Fachverband Tiefe Temperaturen

TT 72: Poster Session: Correlated Electrons

TT 72.22: Poster

Mittwoch, 14. März 2018, 15:00–19:00, Poster B

Quantum Monte Carlo simulations of quantum critical fermions — •Carsten Bauer¹, Yoni Schattner², Erez Berg³, and Simon Trebst¹ — ¹Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany — ²Department of Physics, Stanford University, Stanford, CA 94305, USA — ³Department of Physics, University of Chicago, Chicago IL 60637, USA

While quantum critical phenomena in insulators are fairly well understood, their metallic counterparts pose a substantial theoretical challenge since the order parameter fluctuations can interact with gapless fermionic excitations on a Fermi surface. When driving the metal through a phase transition, this interplay can give rise to superconductivity and non-Fermi liquid behavior.

Fortunately, for certain classes of metallic quantum critical points this rich 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 different Fermi surfaces coupled to antiferromagnetic SU(2) order in two spatial dimensions. I will further demonstrate that Julia, a new dynamical programming language, is excellently suited for conducting such studies both with regards to speed and code complexity.