Published May 15, 2007
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Fourier transform of the 2kF Luttinger liquid density correlation function with different spin and charge velocities
Abstract
We obtain a closed-form analytical expression for the zero-temperature Fourier transform of the 2kF component of the density-density correlation function in a Luttinger liquid with different spin and charge velocities. For frequencies near the spin and charge singularities, approximate analytical forms are given and compared with the exact result. We find power-law-like singularities leading to either divergence or cusps, depending on the values of the Luttinger parameters, and compute the corresponding exponents. Exact integral expressions and numerical results are given for the finite-temperature case as well. We show, in particular, how the temperature rounds the singularities in the correlation function.
Additional Information
©2007 The American Physical Society (Received 19 February 2007; revised 17 April 2007; published 21 May 2007) We would like to thank M. Cazalilla for fruitful discussions. We gratefully acknowledge financial support from NSF Grants No. PHY05-51164 and No. DMR04-57440, the Packard Foundation, and the Swiss National Science Foundation under MaNEP and Division II. G.A.F. was also supported by the Lee A. DuBridge Foundation.Files
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Additional details
- Eprint ID
- 8490
- Resolver ID
- CaltechAUTHORS:IUCprb07
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2007-08-15Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field