Triviality of a model of particles with point interactions in the thermodynamic limit
arXiv:1605.07386 · doi:10.1007/s11005-016-0915-x
Abstract
We consider a model of fermions interacting via point interactions, defined via a certain weighted Dirichlet form. While for two particles the interaction corresponds to infinite scattering length, the presence of further particles effectively decreases the interaction strength. We show that the model becomes trivial in the thermodynamic limit, in the sense that the free energy density at any given particle density and temperature agrees with the corresponding expression for non-interacting particles.
LaTeX, 20 pages; final version, to appear in Lett. Math. Phys
References in corpus (4)
- Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
- Thermodynamics of balanced and slightly spin-imbalanced Fermi gases at unitarity
- A Class of Hamiltonians for a Three-Particle Fermionic System at Unitarity
- Fractional Hardy-Lieb-Thirring and related inequalities for interacting systems