Regensburg 2019 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 44: Correlated Electrons: Method Development
TT 44.8: Talk
Wednesday, April 3, 2019, 16:45–17:00, H7
Critical energy spectrum of the chiral Ising Gross-Neveu-Yukawa field theory on the torus — •Michael Schuler1, Stephan Hesselmann2, Thomas C. Lang1, Stefan Wessel2, and Andreas M. Läuchli1 — 1Institute for Theoretical Physics, University of Innsbruck, Austria — 2Institut für Theoretische Festkörperphysik, JARA-FIT and JARA-HPC, RWTH Aachen University, 52056 Aachen, Germany
We investigate the critical torus low-energy spectrum of the chiral Ising universality class with N=4 component Dirac spinors in 2+1d from the strongly interacting t-V model of spinless fermions, which serves as a universal fingerprint of the associated critical Gross-Neveu-Yukawa field theory. We employ a combination of exact diagonalization and quantum Monte Carlo simulations to compute the critical energy spectra on finite-size clusters and extrapolate them to the thermodynamic limit. We show that the strong interaction between the spinor field and the scalar order-parameter field strongly influences the critical energy levels on the torus. Furthermore, we highlight the effect of different cluster shapes on the critical torus spectrum and illustrate that they can be interpreted by adding non-zero flux around the torus. In addition we estimate the renormalization of the Fermi velocity in the semi-metallic (Dirac) phase from the behavior of the energy spectrum and extrapolate the observed linear renormalization to the critical point. Our investigation shows that precise knowledge of the spectrum even on small clusters already provides valuable insight into the properties of critical systems.