Ferromagnetic transition and phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping

Details Ferromagnetic transition and phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping Ferromagnetic transition and phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping

1997-12-29

arxiv.org/abs/cond-mat/9712310v1

Physics

Condensed Matter

Strongly Correlated Electrons

19 pages, 22 figures included

Scientific paper

10.1103/PhysRevB.58.2635

We study the phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping using exact diagonalization, the density-matrix renormalization group, the Edwards variational ansatz, and an adaptation of weak-coupling calculations on the two-chain Hubbard model. We find that a substantial region of the strong-coupling phase diagram is ferromagnetic, and that three physically different limiting cases are connected in one ferromagnetic phase. At a point in the phase diagram at which there are two Fermi points at weak coupling, we study carefully the phase transition from the paramagnetic state to the fully polarized one as a function of the on-site Coulomb repulsion. We present evidence that the transition is second order and determine the critical exponents numerically. In this parameter regime, the system can be described as a Luttinger liquid at weak coupling. We extract the Luttinger-liquid parameters and show how their behavior differs from that of the nearest-neighbor Hubbard model. The general weak-coupling phase diagram can be mapped onto that of the two-chain Hubbard model. We exhibit explicitly the adapted phase diagram and determine its validity by numerically calculating spin and charge gaps using the density-matrix renormalization group.

Affiliated with

Also associated with

No associations

Rating

Ferromagnetic transition and phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping 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 Ferromagnetic transition and phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ferromagnetic transition and phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-669918