Bethe ansatz for the Harper equation: Solution for a small commensurability parameter

Details Bethe ansatz for the Harper equation: Solution for a small commensurability parameter Bethe ansatz for the Harper equation: Solution for a small commensurability parameter

1998-08-06

arxiv.org/abs/cond-mat/9808066v2

Phys.Rev.B59:322-328,1999

Physics

Condensed Matter

17 pages including 5 postscript figures, Latex, minor changes, to appear in Phys.Rev.B

Scientific paper

10.1103/PhysRevB.59.322

The Harper equation describes an electron on a 2D lattice in magnetic field and a particle on a 1D lattice in a periodic potential, in general, incommensurate with the lattice potential. We find the distribution of the roots of Bethe ansatz equations associated with the Harper equation in the limit as alpha=1/Q tends to 0, where alpha is the commensurability parameter (Q is integer). Using the knowledge of this distribution we calculate the higher and lower boundaries of the spectrum of the Harper equation for small alpha. The result is in agreement with the semiclassical argument, which can be used for small alpha.

Affiliated with

Also associated with

No associations

Rating

Bethe ansatz for the Harper equation: Solution for a small commensurability parameter 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 Bethe ansatz for the Harper equation: Solution for a small commensurability parameter, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bethe ansatz for the Harper equation: Solution for a small commensurability parameter will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-555201