Aspects of the ground state of the $U=\infty$ Hubbard ladder

Details Aspects of the ground state of the $U=\infty$ Hubbard ladder Aspects of the ground state of the $U=\infty$ Hubbard ladder

1997-09-16

arxiv.org/abs/cond-mat/9709170v2

Physics

Condensed Matter

Strongly Correlated Electrons

24 pages, RevTex, 11 figures, to appear in Phys.Rev.B

Scientific paper

10.1103/PhysRevB.56.15015

We consider two aspects of the ground state of the $U=\infty$ Hubbard ladder: ferromagnetism and the metal-insulator transition at quarter-filling. First, we present rigorous results for the $U=\infty$ Hubbard ladder in the limit of the large inter-chain hopping ($t_{\perp}/t\to\infty$). In this limit, the total spin $S$ of the ground state is shown to be zero for the electron density $n\le 0.5$ and its maximum ($S=S_{max}$) for $n>0.5$. The charge gap at quarter-filling is $2t_{\perp}$. We extend these results to finite $t_{\perp}/t$ by means of the density-matrix renormalization group method. We estimate the phase boundaries with respect to spontaneous magnetization and the charge gap at quarter-filling for finite $t_{\perp}/t$. Applying the extended Aharonov-Bohm method, we give numerical evidence that the critical ratio $t_{\perp}/t$, above which the charge gap opens, is less than 0.001. Ferromagnetism in the t-J ladder is briefly discussed.

Affiliated with

Also associated with

No associations

Rating

Aspects of the ground state of the $U=\infty$ Hubbard ladder 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 Aspects of the ground state of the $U=\infty$ Hubbard ladder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Aspects of the ground state of the $U=\infty$ Hubbard ladder will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-379219