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Chiral Ising Gross-Neveu Criticality of a Single Dirac Cone: A Quantum Monte Carlo Study

S. Mojtaba Tabatabaei, Amir-Reza Negari, Joseph Maciejko, and Abolhassan Vaezi
Phys. Rev. Lett. 128, 225701 – Published 3 June 2022
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Abstract

We perform large-scale quantum Monte Carlo simulations of SLAC fermions on a two-dimensional square lattice at half filling with a single Dirac cone with N=2 spinor components and repulsive on-site interactions. Despite the presence of a sign problem, we accurately identify the critical interaction strength Uc=7.28±0.02 in units of the hopping amplitude, for a continuous quantum phase transition between a paramagnetic Dirac semimetal and a ferromagnetic insulator. Using finite-size scaling, we extract the critical exponents for the corresponding N=2 chiral Ising Gross-Neveu universality class: the inverse correlation length exponent ν1=1.19±0.03, the order parameter anomalous dimension ηϕ=0.31±0.01, and the fermion anomalous dimension ηψ=0.136±0.005.

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  • Received 22 December 2021
  • Accepted 4 May 2022

DOI:https://doi.org/10.1103/PhysRevLett.128.225701

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsInterdisciplinary Physics

Authors & Affiliations

S. Mojtaba Tabatabaei1,†, Amir-Reza Negari1,†, Joseph Maciejko2, and Abolhassan Vaezi1,*

  • 1Department of Physics, Sharif University of Technology, Tehran 14588-89694, Iran
  • 2Department of Physics & Theoretical Physics Institute (TPI), University of Alberta, Edmonton, Alberta T6G 2E1, Canada

  • *Corresponding author. vaezi@sharif.edu
  • These two authors contributed equally.

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Issue

Vol. 128, Iss. 22 — 3 June 2022

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