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Chiral ising Gross-Neveu criticality of a single Dirac Cone: A quantum Monte Carlo study

Tabatabaei, S. M ; Sharif University of Technology | 2022

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevLett.128.225701
  3. Publisher: American Physical Society , 2022
  4. Abstract:
  5. 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 ν-1=1.19±0.03, the order parameter anomalous dimension ηφ=0.31±0.01, and the fermion anomalous dimension ηψ=0.136±0.005. © 2022 American Physical Society
  6. Keywords:
  7. Intelligent systems ; Phase transitions ; Quantum theory ; Half-filling ; Interaction strength ; Large-scales ; Quantum Monte Carlo simulations ; Quantum monte carlo studies ; Sign problem ; Single Dirac cones ; Site interaction ; Spinors ; Two dimensional square lattice ; Monte Carlo methods ; Case report ; Chirality ; Clinical article ; Fermion ; Monte Carlo method ; Phase transition ; Plant cone
  8. Source: Physical Review Letters ; Volume 128, Issue 22 , 2022 ; 00319007 (ISSN)
  9. URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.128.225701