Physics – Condensed Matter
Scientific paper
1996-04-18
Proceedings of the XXXIst Rencontres de Moriond Series: Moriond Condensed Matter Physics Eds.: T. Martin, G. Montambaux, J. Tr
Physics
Condensed Matter
15 pages, three figures, (two more available from authors), Proceedings from Les Arcs conference, January 1996
Scientific paper
The stability of the Luttinger liquid to small transverse hopping has been studied from several points of view. The renormalization group approach in particular has been criticized because it does not take explicitly into account the difference between spin and charge velocities and because the interaction should be turned-on before the transverse hopping if the stability of the Luttinger liquid is a non-perturbative effect. An approach that answers both of these objections is explained here. It shows that the Luttinger liquid is unstable to arbitrarily small transverse hopping. The crossover temperatures below which either transverse coherent band motion or long-range order start to develop can be finite even when spin and charge velocities differ. Explicit scaling relations for these one-particle and two-particle crossover temperatures are derived in terms of transverse hopping, spin and charge velocities and anomalous exponents. The renormalization group results are recovered as special cases when spin and charge velocities are identical. The results compare well with recent experiments presented at this conference. Magnetic field effects are alluded to.
Boies Daniel
Bourbonnais Claude
Tremblay A. M. -S.
No associations
LandOfFree
Luttinger liquids coupled by hopping 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 Luttinger liquids coupled by hopping, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Luttinger liquids coupled by hopping will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-248504