Chiral Ising Gross-Neveu criticality of a single Dirac cone: A quantum Monte Carlo study
| Autor: | Tabatabaei, S. Mojtaba, Negari, Amir-Reza, Maciejko, Joseph, Vaezi, Abolhassan |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Phys. Rev. Lett. 128, 225701 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.128.225701 |
| Popis: | 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 $U_c = 7.28 \pm 0.02$ 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 $\nu^{-1} = 1.19 \pm 0.03$, the order parameter anomalous dimension $\eta_{\phi} = 0.31 \pm 0.01$, and the fermion anomalous dimension $\eta_{\psi} = 0.136 \pm 0.005$. Comment: Accepted for publication in Physical Review Letters |
| Databáze: | arXiv |
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