Charge-Density-Wave Transitions of Dirac Fermions Coupled to Phonons
Abstract
The spontaneous generation of charge-density-wave order in a Dirac fermion system via the natural mechanism of electron-phonon coupling is studied in the framework of the Holstein model on the honeycomb lattice. Using two independent and unbiased quantum Monte Carlo methods, the phase diagram as a function of temperature and coupling strength is determined. It features a quantum critical point as well as a line of thermal critical points. Finite-size scaling appears consistent with fermionic Gross-Neveu-Ising universality for the quantum phase transition, and bosonic Ising universality for the thermal phase transition. The critical temperature has a maximum at intermediate couplings. Our findings motivate experimental efforts to identify or engineer Dirac systems with sufficiently strong and tunable electron-phonon coupling.
Keywords
Cite
@article{arxiv.1809.07903,
title = {Charge-Density-Wave Transitions of Dirac Fermions Coupled to Phonons},
author = {Chuang Chen and Xiao Yan Xu and Zi Yang Meng and Martin Hohenadler},
journal= {arXiv preprint arXiv:1809.07903},
year = {2019}
}
Comments
4+3 pages, 4+2 figures