Exact diagonalization study of trionic crossover and trion liquid in the attractive three-component Hubbard model

摘要

We investigate the trion formation and the effective trionic properties in the attractive Hubbard model with three fermionic colors using exact diagonalization. The crossover to the trionic regime with colorless compound fermions upon increasing strength of the onsite attraction parameter U features smoothly evolving ground-state properties and exhibits clear similarities to the BCS/BEC crossover for two colors. In the excitation spectrum, there is a clear gap opening between a band of well-defined trions and excitations of broken-up trions at U_c～1.8t. This picture remains the same away from the SU(3)-symmetric point. The spatial pairing correlations for colored Cooper pairs are compatible with a power law at small attractions and change to an exponential decay above the trionic crossover. Furthermore, we show that the effective trionic liquid for U>U_C can be well modeled with spinless "heavy" fermions interacting with a strong nearest-neighbor repulsion.