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TT: Fachverband Tiefe Temperaturen

TT 37: Correlated Electrons: Poster

TT 37.12: Poster

Wednesday, March 19, 2025, 15:00–18:00, P4

Chiral quantum phase transition in moiré Dirac materials — •Ana García-Page1 and Laura Classen1,21Max-Planck-Institute for Solid State Research, Stuttgart 70569, Germany — 2Department of Physics, Technical University of Munich, Garching 85749, Germany

Strong enough interactions induce a semimetal-to-insulator transition in Dirac materials, which can be viewed as the solid-state analogue of the chiral phase transition in quantum chromodynamics1-4. Moiré Dirac materials such as twisted bilayer graphene offer a new opportunity to study this transition because they facilitate tuning the effective interaction via a twist angle5-6. Motivated by this, we explore the quantum phase transition of a 2D Dirac material which spontaneously develops a gap that breaks an Ising symmetry7. We model it via an effective Gross-Neveu-Yukawa theory and employ the functional renormalization group method to map out the phase diagram. We analyze the quantum critical behavior at the transition and investigate the effect of a chemical potential which introduces a finite charge density.

Keywords: Dirac; fermions; quantum; phase; transitions

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