Magnetic phases of one-dimensional lattices with 2 to 4 fermions per site
J.-P. Nikkarila, M. Koskinen, S.M. Reimann, M. Manninen

TL;DR
This paper investigates the magnetic phases of one-dimensional fermionic lattices with 2 to 4 particles per site using an extended Hubbard model and exact diagonalization, revealing diverse magnetic behaviors.
Contribution
It introduces a comprehensive analysis of magnetic phases in 1D lattices with multiple fermions per site using a generalized Hubbard model and exact solutions.
Findings
Identification of ferromagnetic, antiferromagnetic, and orbital antiferromagnetic phases
Mapping of a complex magnetic phase diagram
Demonstration of rich magnetic phenomena in multi-fermion 1D systems
Abstract
We study the spectral and magnetic properties of one-dimensional lattices filled with 2 to 4 fermions (with spin 1/2) per lattice site. We use a generalized Hubbard model that takes account all interactions on a lattice site, and solve the many-particle problem by exact diagonalization. We find an intriguing magnetic phase diagram which includes ferromagnetism, spin-one Heisenberg antiferromagnetism, and orbital antiferromagnetism.
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