Trion formation and unconventional superconductivity in a three-dimensional model with short-range attraction

Abstract

A three-fermion problem in a three-dimensional lattice with anisotropic hopping is solved by discretizing the Schroedinger equation in momentum space. Interparticle interaction comprises on-site Hubbard repulsion and in-plane nearest-neighbor attraction. By comparing the energy of three-fermion bound clusters (trions) with the energy of one pair plus one free particle, a trion formation threshold is accurately determined, and the region of pair stability is mapped out. It is found that the "close-packed" density of fermion pairs is highest in a strongly anisotropic model. It is also argued that pair superconductivity with the highest critical temperature is always close to trion formation, which makes the system prone to phase separation and local charge ordering.

5 pages, 4 figures, 7 pages of Supplemental Material

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Cited by in corpus (3)

• Ubiquitous light real-space pairing from long-range hopping and interactions
• Stable pair liquid phase in fermionic systems
• Fermion pairing in body-centered-cubic quantum simulators of extended Hubbard models