Ferromagnetism in d-Dimensional SU(n) Hubbard Models with Nearly Flat Bands
@article{Tamura2020FerromagnetismID,
title={Ferromagnetism in d-Dimensional SU(n) Hubbard Models with Nearly Flat Bands},
author={Kensuke Tamura and Hosho Katsura},
journal={Journal of Statistical Physics},
year={2020},
volume={182},
pages={1-20}
}We present rigorous results for the SU( n ) Fermi–Hubbard models with finite-range hopping in d ( $$\ge 2$$ ≥ 2 ) dimensions. The models are defined on a class of decorated lattices. We first study the models with flat bands at the bottom of the single-particle spectrum and prove that the ground states exhibit SU( n ) ferromagnetism when the number of particles is equal to the number of unit cells. We then perturb the models by adding particular hopping terms and make the bottom bands…
3 Citations
Exact eigenstates of multicomponent Hubbard models: SU($N$) magnetic $\eta$ pairing, weak ergodicity breaking, and partial integrability
- Physics
- 2022
We construct exact eigenstates of multicomponent Hubbard models in arbitrary dimensions by generalizing the η -pairing mechanism. Our models include the SU( N ) Hubbard model as a special case.…
Electric field driven flat bands: Enhanced magnetoelectric and electrocaloric effects in frustrated quantum magnets
- PhysicsPhysical Review B
- 2022
Johannes Richter, 2 Vadim Ohanyan, 3, 4 Jörg Schulenburg, and Jürgen Schnack Institut für Physik, Universität Magdeburg, P.O. Box 4120, D-39016 Magdeburg, Germany Max-Planck-Institut für Physik…
A finite temperature version of the Nagaoka--Thouless theorem in the $\mathrm{SU}(n)$ Hubbard model
- Physics
- 2021
The Aizenman–Lieb theorem for the SU(2) Hubbard model extends the Nagaoka–Thouless theorem for the ground state to nite temperatures, and can be stated simply that the magnetization m(β, b) of the…
References
SHOWING 1-10 OF 57 REFERENCES
An Extension of the Cell-Construction Method for the Flat-Band Ferromagnetism
- Physics
- 2020
We present an extension of the cell-construction method for the flat-band ferromagnetism. In a rather general setting, we construct Hubbard models with highly degenerate single-electron ground states…
Ferromagnetism in theSU(n)Hubbard model with a nearly flat band
- PhysicsPhysical Review B
- 2019
We present rigorous results for the $\mathrm{SU}(n)$ Fermi-Hubbard model on the railroad-trestle lattice. We first study the model with a flat band at the bottom of the single-particle spectrum and…
Electron Correlation and Ferromagnetism of Transition Metals
- Physics
- 1963
The electron correlation in a narrow energy band is discussed taking into account the multiple scattering between two electrons. The discussion is an adaptation of Brueckner's theory of nuclear…
Exchange in solid 3He and the Heisenberg Hamiltonian
- Physics
- 1965
The nuclear spins in solid 3He are coupled to one another as a result of the Pauli exclusion principle. The exchange energy is so small that the Pauli principle can be treated rigourously as a…
BCS pairing in Fermi systems with N different hyperfine states
- Physics
- 2004
Motivated by the prospect of Bardeen-Cooper-Schrieffer (BCS) pairing in cold fermionic gases we analyze the superfluid phase of three fermionic flavors in the attractive Hubbard model. We show that…