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In this paper, we discover a new quantum Monte Carlo (QMC) method to solvethe fermion sign problem in interacting fermion models by employing Majoranarepresentation of complex fermions. We call it "Majorana QMC" (MQMC).Especially, MQMC is fermion sign free in simulating a class of spinless fermionmodels on bipartite lattices at half filling and with arbitrary range of(unfrustrated) interactions. To the best of our knowledge, MQMC is the firstauxiliary field QMC method to solve fermion sign problem in spinless (moregenerally, odd number of species) fermion models. MQMC simulations can beperformed efficiently both at finite and zero temperatures. We believe thatMQMC could pave a new avenue to solve fermion sign problem in more genericfermionic models.

Solving fermion sign problem in quantum Monte Carlo by Majorana representation