Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions

Details Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions

1994-11-17

arxiv.org/abs/cond-mat/9411066v1

Physical Review B 51, 14874 (1995)

Physics

Condensed Matter

20 pages, REVTeX, 6 figures (uuencoded compressed PostScript file for figures is appended)

Scientific paper

10.1103/PhysRevB.51.14874

We consider two-dimensional Fermi liquids in the vicinity of a quantum transition to a phase with commensurate, antiferromagnetic long-range order. Depending upon the Fermi surface topology, mean-field spin-density-wave theory predicts two different types of such transitions, with mean-field dynamic critical exponents $z=1$ (when the Fermi surface does not cross the magnetic zone boundary, type $A$) and $z=2$ (when the Fermi surface crosses the magnetic zone boundary, type $B$). The type $A$ system only displays $z=1$ behavior at all energies and its scaling properties are similar (though not identical) to those of an insulating Heisenberg antiferromagnet. Under suitable conditions precisely stated in this paper, the type $B$ system displays a crossover from relaxational behavior at low energies to type $A$ behavior at high energies. A scaling hypothesis is proposed to describe this crossover: we postulate a universal scaling function which determines the entire, temperature-, wavevector-, and frequency-dependent, dynamic, staggered spin susceptibility in terms of 4 measurable, $T=0$, parameters (determining the distance, energy, and order parameter scales, plus one crossover parameter). The scaling function contains the full scaling behavior in all regimes for both type $A$ and $B$ systems. The crossover behavior of the uniform susceptibility and the specific heat is somewhat more complicated and is also discussed. Explicit computation of the crossover functions is carried out in a large $N$ expansion on a mean-field model. Some new results for the critical properties on the ordered side of the transition are also obtained in a spin-density wave formalism. The possible relevance of our results to the doped cuprate compounds is briefly discussed.

Affiliated with

Also associated with

No associations

Rating

Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions 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 Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-465656