Curvature of Levels and Charge Stiffness of One-Dimensional Spinless Fermions

Details Curvature of Levels and Charge Stiffness of One-Dimensional Spinless Fermions Curvature of Levels and Charge Stiffness of One-Dimensional Spinless Fermions

1998-04-16

arxiv.org/abs/cond-mat/9804169v2

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 1 figure, results at half filling modified, references added, new section III

Scientific paper

10.1103/PhysRevB.59.7382

Combining the Bethe Ansatz with a functional deviation expansion and using an asymptotic expansion of the Bethe Ansatz equations, we compute the curvature of levels D_n at any filling for the one-dimensional lattice spinless fermion model. We use these results to study the finite temperature charge stiffness D(T). We find that the curvature of the levels obeys, in general, the relation D_n=D_0+\delta D_n, where D_0 is the zero-temperature charge stiffness and \delta D_n arises from excitations. Away from half filling and for the low-energy (gapless) eigenstates, we find that the energy levels are, in general, flux dependent and, therefore, the system behaves as an ideal conductor, with D(T) finite. We show that if gapped excitations are included the low-energy excitations feel an effective flux \Phi^{eff} which is different from what is usually expected. At half filling, we prove, in the strong interacting limit and to order 1/V (V is the nearest-neighbor Coulomb interaction), that the energy levels are flux independent. This leads to a zero value for the curvature of levels D_n and, as consequence, to D(T)=0, proving an earlier conjecture of Zotos and Prelov\v{s}ek.

Affiliated with

Also associated with

No associations

Rating

Curvature of Levels and Charge Stiffness of One-Dimensional Spinless Fermions 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 Curvature of Levels and Charge Stiffness of One-Dimensional Spinless Fermions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Curvature of Levels and Charge Stiffness of One-Dimensional Spinless Fermions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-634592