Fermion disorder operator at Gross-Neveu and deconfined quantum criticalities
Abstract
The fermion disorder operator has been shown to reveal the entanglement information in 1D Luttinger liquids and 2D free and interacting Fermi and non-Fermi liquids emerging at quantum critical points(QCP). Here we study, by means of large-scale quantum Monte Carlo simulation, the scaling behavior of disorder operator in correlated Dirac systems. We first demonstrate the logarithmic scaling behavior of the disorder operator at the Gross-Neveu (GN) chiral Ising and Heisenberg QCPs, where consistent conformal field theory (CFT) content of the GN-QCP in its coefficient is found. Then we study a 2D monopole free deconfined quantum critical point (DQCP) realized between a quantum-spin Hall insulator and a superconductor. Our data point to negative values of the logarithmic coefficients such that the DQCP does not correspond to a unitary CFT. Density matrix renormalization group calculations of the disorder operator on a 1D DQCP model also detect emergent continuous symmetries.
Keywords
Cite
@article{arxiv.2212.11821,
title = {Fermion disorder operator at Gross-Neveu and deconfined quantum criticalities},
author = {Zi Hong Liu and Weilun Jiang and Bin-Bin Chen and Junchen Rong and Meng Cheng and Kai Sun and Zi Yang Meng and Fakher F. Assaad},
journal= {arXiv preprint arXiv:2212.11821},
year = {2023}
}
Comments
16 pages, 18 figures