Analytical Results of the One-Dimensional Hubbard Model in the High Temperature Limit

Physics – Condensed Matter

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

5 figures

Scientific paper

We investigate the grand potential of the one-dimensional Hubbard model in the high temperature limit, calculating the coefficients of the high temperature expansion ($\beta$-expansion) of this function up to order $\beta^4$ by an alternative method. The results derived are analytical and do not involve any perturbation expansion in the hopping constant, being valid for arbitrary density of electrons in the one-dimensional model. In the half-filled case, we compare our analytical results for the specific heat and the magnetic susceptibility, in the high-temperature limit, with the ones obtained by Beni {\it et al.} and Takahashi's integral equations, showing that the latter result does not take into account the complete energy spectrum of the one-dimensional Hubbard model. The exact integral solution by J\"uttner {\it et al}. is applied to the determination of the range of validity of our expansion in $\beta$ in the half-filled case, for several different values of $U$.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Analytical Results of the One-Dimensional Hubbard Model in the High Temperature 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 Analytical Results of the One-Dimensional Hubbard Model in the High Temperature Limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytical Results of the One-Dimensional Hubbard Model in the High Temperature Limit will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-291753

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.