Journal
NEW JOURNAL OF PHYSICS
Volume 16, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/16/10/103008
Keywords
quantum critical point; Dirac fermions; quantum Monte Carlo
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Funding
- ERC Advanced Grant SIMCOFE
- Swiss National Science Foundation
- Dutch Ministry of Education, Culture and Science (OCW)
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Spinless fermions on a honeycomb lattice provide a minimal realization of lattice Dirac fermions. Repulsive interactions between nearest neighbors drive a quantum phase transition from a Dirac semimetal to a charge-density-wave state through a fermionic quantum critical point, where the coupling of the Ising order parameter to the Dirac fermions at low energy drastically affects the quantum critical behavior. Encouraged by a recent discovery (Huffman and Chandrasekharan 2014 Phys. Rev. B 89 111101) of the absence of the fermion sign problem in this model, we study the fermionic quantum critical point using the continuous-time quantum Monte Carlo method with a worm-sampling technique. We estimate the transition point V/t = 1.356(1) with the critical exponents nu = 0.80(3) and eta = 0.302(7). Compatible results for the transition point are also obtained with infinite projected entangled-pair states.
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