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

Iucci, Carlos Anibal; Fiete, Gregory A.; Giamarchi, Thierry

doi:10.1103/PhysRevB.75.205116

Scientific article

English

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

Contributors

Iucci, Carlos Anibal; Fiete, Gregory A.; Giamarchi, Thierry

Published in

Physical review. B, Condensed matter and materials physics, vol. 75, no. 20

Publication date

2007

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.

UNIGE affiliation entities

Faculté des sciences / Section de physique / Département de physique de la matière quantique

UNIGE research groups

Groupe Giamarchi

Citation (ISO format)

IUCCI, Carlos Anibal, FIETE, Gregory A., GIAMARCHI, Thierry. Fourier transform of the 2kF 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

Article (Published version)

Identifiers

PID : unige:36056
DOI : 10.1103/PhysRevB.75.205116

Journal ISSN

1098-0121

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Creation

28/04/2014 15:33:00

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