Abstract
We use the Bethe-ansatz equations to calculate the total and zero-frequency spectral weight in the optical conductivity of the half-filled one-dimensional Hubbard model as a function of the lattice size L and the on-site repulsion U. The zero-frequency spectral weight D scales as L1/2exp(-L/) as L. Near U=0, varies as the inverse of the Lieb-Wu charge gap. In the strongly correlated regime (Ut), -1=ln(U/t)-1.48. $D is negative when L is a multiple of 4, corresponding to a negative inductance. We give a physical explanation of our results in terms of a simple model of ring exchange. The finite-size corrections to the total spectral weight scale as L-2. We discuss the implications of our results for exact diagonalization calculations of the optical conductivity.
Original language | English (US) |
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Pages (from-to) | 13660-13663 |
Number of pages | 4 |
Journal | Physical Review B |
Volume | 43 |
Issue number | 16 |
DOIs | |
State | Published - 1991 |
ASJC Scopus subject areas
- Condensed Matter Physics