Interacting spinless fermions on the square lattice: Charge order, phase separation, and superconductivity

• URL: http://arxiv.org/abs/2107.12256v2
• Date: Wed, 2 Feb 2022 11:58:17 GMT
• Title: Interacting spinless fermions on the square lattice: Charge order, phase separation, and superconductivity
• Authors: Kou-Han Ma and Ning-Hua Tong
• Abstract summary: We investigate the phase diagram of spinless fermions on a square lattice with nearest-neighbor interaction. For attractive interaction, the ground state is in an homogeneous p + ip superconducting (SC) phase at high or low electron densities. For repulsive interaction, depending on electron filling, the ground state is in charge-ordered phase (half filling), charge-disordered phase (large hole/electron doping) or PS between them (weak doping)
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the phase diagram of spinless fermions on a square lattice with nearest-neighbor interaction, using the recently developed projective truncation approximation in Green's function equation of motion. For attractive interaction, the ground state is in an homogeneous p + ip superconducting (SC) phase at high or low electron densities. Near half filling is a phase separation (PS) between the SC phases. Allowing inhomogeneous solution, we obtain p-wave SC domains with positive interface energy. As temperature increases, the SC phases transit into normal phases above Tsc, generating an homogeneous normal phase (far away from n = 1/2), or a PS between normal phases with different densities (close to n = 1/2). Further increasing temperature to Tps, the PS disappears and the particle-hole symmetry of the Hamiltonian is recovered. For repulsive interaction, depending on electron filling, the ground state is in charge-ordered phase (half filling), charge-disordered phase (large hole/electron doping), or PS between them (weak doping). At finite temperature, the regime of charge order phase moves to finite V and extends to finite doping regime.

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