TY - JOUR AU - Chen, Chuang AU - Xu, Xiao Yan AU - Meng, Zi Yang AU - Hohenadler, Martin TI - Charge-Density-Wave Transitions of Dirac Fermions Coupled to Phonons JO - Physical review letters VL - 122 IS - 7 SN - 1079-7114 CY - College Park, Md. PB - APS M1 - FZJ-2020-03850 SP - 077601 PY - 2019 AB - 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. LB - PUB:(DE-HGF)16 DO - DOI:10.1103/PhysRevLett.122.077601 UR - https://juser.fz-juelich.de/record/885467 ER -