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English

Fourier transform of the 2kF Luttinger liquid density correlation function with different spin and charge velocities

Publication date2007
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.

Research group
Citation (ISO format)
IUCCI, Carlos Anibal, FIETE, Gregory A., GIAMARCHI, Thierry. Fourier transform of the 2<em>kF</em> Luttinger liquid density correlation function with different spin and charge velocities. In: Physical review. B, Condensed matter and materials physics, 2007, vol. 75, n° 20. doi: 10.1103/PhysRevB.75.205116
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Article (Published version)
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ISSN of the journal1098-0121
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