Competition of Phonons and Magnetic Interaction in One-Dimensional Fermion Systems

Details Competition of Phonons and Magnetic Interaction in One-Dimensional Fermion Systems Competition of Phonons and Magnetic Interaction in One-Dimensional Fermion Systems

1994-05-25

arxiv.org/abs/cond-mat/9405070v1

Physics

Condensed Matter

6 pages,plainTEX

Scientific paper

We consider a system of spin-dependent fermions on a one-dimensional lattice which is coupled to phonons. The phonons create either a Peierls instability by breaking the translational invariance or create long range correlations. On the other hand, there is a spin-dependent Hubbard-like interaction which competes with the effective fermion-fermion interaction induced by the phonons. We investigate the competition of both interactions using a renormalization group calculation for weak interaction. The renormalization group transformation creates a third interaction. It turns out that non-interacting fermions represent a semi-stable fixed point of the fermion system.

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