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Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 17: Poster Session: Correlated Electrons 1

TT 17.18: Poster

Montag, 1. April 2019, 15:00–18:30, Poster D

Quantum Monte Carlo simulations of quantum critical fermions — •Carsten Bauer1, Yoni Schattner2, Erez Berg3, and Simon Trebst11University of Cologne, Germany — 2Stanford University, USA — 3The Weizmann Institute of Science, Israel

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 excitations on a Fermi surface. When driving a metal through a phase transition, this interplay can give rise to unconventional superconductivity and “strange metal” behavior and might therefore serve as a microscopic model for some of the rich physics of high-Tc materials.

Fortunately, certain classes of metallic quantum critical points can be analyzed by determinant quantum Monte Carlo as one can circumvent the notorious “sign problem” and retain polynomial efficiency. I will show numerically exact studies of two dimensional metals at the verge of an antiferromagnetic transition indicating Landau-damped dynamics of the order parameter and a breakdown of Fermi liquid theory. I will further demonstrate that machine learning techniques, such as quantum loop topography and convolutional neural networks, can be utilized to probe transport and identify phase transitions in such many-particle systems.

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