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In a recent letter [D. Poletti et al., EPL 93, 37008 (2011)] a model ofattractive spinless fermions on the honeycomb lattice at half filling has beenstudied by mean-field theory, where distinct homogenous phases at rather largeattraction strength $V>3.36$, separated by (topological) phase transitions,have been predicted. In this comment we argue that without additionalinteractions the ground states in these phases are not stable against phaseseparation. We determine the onset of phase separation at half filling$V_{ps}\approx 1.7$ by means of infinite projected entangled-pair states(iPEPS) and exact diagonalization.

Comment on "Topological quantum phase transitions of attractive spinless fermions in a honeycomb lattice" by Poletti D. et al