Dresden 2026 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 3: Quantum-Critical Phenomena (joint session TT/DY)
DY 3.8: Vortrag
Montag, 9. März 2026, 11:30–11:45, HSZ/0101
Chiral Quantum Phase Transition in Moiré Dirac Materials at finite density — •Ana Garcia-Page1 and Laura Classen1,2 — 1Max-Planck-Institute for Solid State Research, Stuttgart, Germany — 2Technical University of Munich, Munich, Germany
Chiral quantum phase transitions in Dirac materials at finite density: 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 chromodynamics. 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 angle. Motivated by this, we explore the quantum phase transition of a (2+1) dimensional Dirac material at T = 0K which spontaneously develops a gap that breaks an Ising symmetry. It is still an open question what is the structure of the phase diagram at finite chemical potential. To explore it, we study a Gross-Neveu-Yukawa model for the phase transition using both a mean-field theory and a functional renormalization group approach. Interestingly, we find an intermediate state between semi-metal and insulator where a homogeneous solution appears to be unstable.
Keywords: Moire; quantum criticality