Transition Rates via Bethe Ansatz for the Spin-1/2 Heisenberg Chain

Authors

Daniel Biegel
Michael Karbach, University of Rhode Island
Gerhard Müller, University of Rhode IslandFollow

Document Type

Article

Date of Original Version

2002

Abstract

We use the exact determinantal representation derived by Kitanine, Maillet, and Terras for matrix elements of local spin operators between Bethe wave functions of the one-dimensional s = ½ Heisenberg model to calculate and numerically evaluate transition rates pertaining to dynamic spin structure factors. For real solutions z₁,..., z_r of the Bethe ansatz equations, the size of the determinants is of order rxr. We present applications to the zero-temperature spin fluctuations parallel and perpendicular to an external magnetic field.

Citation/Publisher Attribution

Biegel, D., Karbach, M., & Müller, G. (2002). Transition rates via Bethe ansatz for the spin-1/2 Heisenberg chain. Europhysics Letters, 59(6), 882-888. doi: 10.1209/epl/i2002-00125-0

Available at: http://dx.doi.org/10.1209/epl/i2002-00125-0