Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2004-03-30
Physics
Condensed Matter
Strongly Correlated Electrons
18 pages
Scientific paper
10.1007/s00220-005-1357-y
In this work, we present a proof of the existence of real and ordered solutions to the generalized Bethe Ansatz equations for the one dimensional Hubbard model on a finite lattice, with periodic boundary conditions. The existence of a continuous set of solutions extending from any positive U to the limit of large interaction is also shown. This continuity property, when combined with the proof that the wavefunction obtained with the generalized Bethe Ansatz is normalizable, is relevant to the question of whether or not the solution gives us the ground state of the finite system, as suggested by Lieb and Wu. Lastly, for the absolute ground state at half-filling, we show that the solution converges to a distribution in the thermodynamic limit. This limit distribution satisfies the integral equations that led to the well known solution of the 1D Hubbard model.
No associations
LandOfFree
Existence of Solutions to the Bethe Ansatz Equations for the 1D Hubbard Model: Finite Lattice and Thermodynamic Limit 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 Existence of Solutions to the Bethe Ansatz Equations for the 1D Hubbard Model: Finite Lattice and Thermodynamic Limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence of Solutions to the Bethe Ansatz Equations for the 1D Hubbard Model: Finite Lattice and Thermodynamic Limit will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-78644