General Formula for the Magnetoresistance on the Basis of the Fermi Liquid Theory

Details General Formula for the Magnetoresistance on the Basis of the Fermi Liquid Theory General Formula for the Magnetoresistance on the Basis of the Fermi Liquid Theory

2000-11-20

arxiv.org/abs/cond-mat/0011328v3

Physical Review B {\bf 64}, 054413 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

28 pages, 23 figures

Scientific paper

10.1103/PhysRevB.64.054413

The general expression for the magnetoresistance (MR) due to the Lorentz force is derived by using the Fermi liquid transport theory based on the Kubo formula. The obtained gauge-invariant expression is exact for any strength of the interaction, as for the most singular term with respect to 1/\gamma^\ast (\gammak^\ast being the quasiparticle damping rate). By virtue of the exactness, the conserving laws are satisfied rigorously in the present expression, which is indispensable for avoiding unphysical solutions. Based on the derived expression, we can calculate the MR within the framework of the Baym-Kadanoff type conserving approximation, by including all the vertex corrections required by the Ward identity. The present expression is significant especially for strongly correlated systems because the current vertex corrections will be much important. On the other hand, if we drop all the vertex corrections in the formula, we get the MR of the relaxation time approximation (RTA), which is commonly used because of the simplicity. However, the RTA is dangerous because it may give unphysical results owing to the lack of conserving laws. In conclusion, the present work enables us to study the MR with satisfying the conserving laws which is highly demanded in strongly correlated electrons, such as high-Tc superconductors, organic metals, and heavy Fermion systems. In Appendix D, we reply to the comment by O. Narikiyo [cond-mat/0006028]. (Note that Appendix D exists only in the e-preprint version.)

Affiliated with

Also associated with

No associations

Rating

General Formula for the Magnetoresistance on the Basis of the Fermi Liquid Theory 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 General Formula for the Magnetoresistance on the Basis of the Fermi Liquid Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and General Formula for the Magnetoresistance on the Basis of the Fermi Liquid Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-573491