Stafford, C. A. ; Millis, A. J. ; Shastry, B. S. (1991) Finite-size effects on the optical conductivity of a half-filled Hubbard ring Physical Review B: Condensed Matter and Materials Physics, 43 (16). pp. 13660-13663. ISSN 1098-0121
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Official URL: http://prb.aps.org/abstract/PRB/v43/i16/p13660_1
Related URL: http://dx.doi.org/10.1103/PhysRevB.43.13660
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 πD scales as L½exp(-L/ξ) as L→∞. Near U=0, ξ varies as the inverse of the Lieb-Wu charge gap. In the strongly correlated regime (U≫t), ξ-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.
Item Type: | Article |
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Source: | Copyright of this article belongs to The American Physical Society. |
ID Code: | 50910 |
Deposited On: | 27 Jul 2011 13:17 |
Last Modified: | 18 May 2016 05:02 |
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