Interaction-induced Fermi surface deformations in quasi one-dimensional electronic systems

Details Interaction-induced Fermi surface deformations in quasi one-dimensional electronic systems Interaction-induced Fermi surface deformations in quasi one-dimensional electronic systems

2002-08-22

arxiv.org/abs/cond-mat/0208434v3

Phys. Rev. B 67, 205111 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

38 pages, 39 figures. Accepted for publication in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.67.205111

We consider serious conceptual problems with the application of standard perturbation theory, in its zero temperature version, to the computation of the dressed Fermi surface for an interacting electronic system. In order to overcome these difficulties, we set up a variational approach which is shown to be equivalent to the renormalized perturbation theory where the dressed Fermi surface is fixed by recursively computed counterterms. The physical picture that emerges is that couplings that are irrelevant tend to deform the Fermi surface in order to become more relevant (irrelevant couplings being those that do not exist at vanishing excitation energy because of kinematical constraints attached to the Fermi surface). These insights are incorporated in a renormalization group approach, which allows for a simple approximate computation of Fermi surface deformation in quasi one-dimensional electronic conductors. We also analyze flow equations for the effective couplings and quasiparticle weights. For systems away from half-filling, the flows show three regimes corresponding to a Luttinger liquid at high energies, a Fermi liquid, and a low-energy incommensurate spin-density wave. At half-filling Umklapp processes allow for a Mott insulator regime where the dressed Fermi surface is flat, implying a confined phase with vanishing effective transverse single-particle coherence. The boundary between the confined and Fermi liquid phases is found to occur for a bare transverse hopping amplitude of the order of the Mott charge gap of a single chain.

Affiliated with

Also associated with

No associations

Rating

Interaction-induced Fermi surface deformations in quasi one-dimensional electronic systems 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 Interaction-induced Fermi surface deformations in quasi one-dimensional electronic systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Interaction-induced Fermi surface deformations in quasi one-dimensional electronic systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-401991