https://doi.org/10.1007/s100510051016
Spin susceptibility of interacting electrons in one dimension: Luttinger liquid and lattice effects
1
Département de physique et Centre de recherche en physique
du solide, Université de Sherbrooke, Sherbrooke, Quebec, Canada J1K 2R1
2
Institut canadien de recherches avancées,
Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
3
2100 Valencia Dr. apt. 406, Northbrook, IL 60062, U.S.A.
Corresponding author: a cbourbon@physique.usherb.ca
Received:
2
March
1999
Published online: 15 December 1999
The temperature-dependent uniform magnetic susceptibility of interacting
electrons in one dimension is calculated using several methods. At low
temperature, the renormalization group reveals that the Luttinger liquid
spin susceptibility 
approaches zero temperature with
an infinite slope in striking contrast with the Fermi liquid result and with
the behavior of the compressibility in the absence of umklapp scattering.
This effect comes from the leading marginally irrelevant operator, in
analogy with the Heisenberg spin 1/2 antiferromagnetic chain. Comparisons
with Monte Carlo simulations at higher temperature reveal that
non-logarithmic terms are important in that regime. These contributions are
evaluated from an effective interaction that includes the same set of
diagrams as those that give the leading logarithmic terms in the
renormalization group approach. Comments on the third law of thermodynamics
as well as reasons for the failure of approaches that work in higher
dimensions are given.
PACS: 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) / 71.10.Fd – Lattice fermion models (Hubbard model, etc.) / 75.40.Mg – Numerical simulation studies
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999
