Self-consistent Fermi surface renormalization of two coupled Luttinger liquids

Details Self-consistent Fermi surface renormalization of two coupled Luttinger liquids Self-consistent Fermi surface renormalization of two coupled Luttinger liquids

2004-12-22

arxiv.org/abs/cond-mat/0412620v2

Phys. Rev. B 71, 235106 (2005).

Physics

Condensed Matter

Strongly Correlated Electrons

extended version with additional technical details; 5 RevTex pages, 2 figures; to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.71.235106

Using functional renormalization group methods, we present a self-consistent calculation of the true Fermi momenta k_F^a (antibonding band) and k_F^b (bonding band) of two spinless interacting metallic chains coupled by small interchain hopping. In the regime where the system is a Luttinger liquid, we find that Delta = k_F^b - k_F^a is self-consistently determined by Delta = Delta_{1} [ 1 + {g}_0^2 ln (Lambda_0 / Delta)^2]^{-1} where g_0 is the dimensionless interchain backscattering interaction, Delta_{1} is the Hartree-Fock result for k_F^{b}-k_F^a, and Lambda_0 is an ultraviolet cutoff. If {g}_0^2 ln (Lambda_0 / Delta_{1})^2 is much larger than unity than even weak interachain backscattering leads to a strong reduction of the distance between the Fermi momenta.

Affiliated with

Also associated with

No associations

Rating

Self-consistent Fermi surface renormalization of two coupled Luttinger liquids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Self-consistent Fermi surface renormalization of two coupled Luttinger liquids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-consistent Fermi surface renormalization of two coupled Luttinger liquids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-542492