Exact many-electron ground states on diamond and triangle Hubbard chains

Details Exact many-electron ground states on diamond and triangle Hubbard chains Exact many-electron ground states on diamond and triangle Hubbard chains

2008-06-02

arxiv.org/abs/0806.0289v2

Prog. Theor. Phys. Suppl. 176, 1 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

21 pages, 9 figures. Will be published in the proceedings of YKIS2007 conference (November 2007, Kyoto) as a special issue of

Scientific paper

We construct exact ground states of interacting electrons on triangle and diamond Hubbard chains. The construction requires (i) a rewriting of the Hamiltonian into positive semidefinite form, (ii) the construction of a many-electron ground state of this Hamiltonian, and (iii) the proof of the uniqueness of the ground state. This approach works in any dimension, requires no integrability of the model, and only demands sufficiently many microscopic parameters in the Hamiltonian which have to fulfill certain relations. The scheme is first employed to construct exact ground state for the diamond Hubbard chain in a magnetic field. These ground states are found to exhibit a wide range of properties such as flat-band ferromagnetism and correlation induced metallic, half-metallic or insulating behavior, which can be tuned by changing the magnetic flux, local potentials, or electron density. Detailed proofs of the uniqueness of the ground states are presented. By the same technique exact ground states are constructed for triangle Hubbard chains and a one-dimensional periodic Anderson model with nearest-neighbor hybridization. They permit direct comparison with results obtained by variational techniques for f-electron ferromagnetism due to a flat band in CeRh3B2.

Affiliated with

Also associated with

No associations

Rating

Exact many-electron ground states on diamond and triangle Hubbard chains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exact many-electron ground states on diamond and triangle Hubbard chains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact many-electron ground states on diamond and triangle Hubbard chains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-631653