Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2003-09-10
Physics
Condensed Matter
Strongly Correlated Electrons
11 pages, 4 figures
Scientific paper
10.1103/PhysRevB.69.174404
As part of a study that investigates the dynamics of the s=1/2 XXZ model in the planar regime |Delta|<1, we discuss the singular nature of the Bethe ansatz equations for the case Delta=0 (XX model). We identify the general structure of the Bethe ansatz solutions for the entire XX spectrum, which include states with real and complex magnon momenta. We discuss the relation between the spinon or magnon quasiparticles (Bethe ansatz) and the lattice fermions (Jordan-Wigner representation). We present determinantal expressions for transition rates of spin fluctuation operators between Bethe wave functions and reduce them to product expressions. We apply the new formulas to two-spinon transition rates for chains with up to N=4096 sites.
Biegel Daniel
Karbach Michael
Müller Gerhard
Wiele Klaus
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