Lattice vs. continuum theory of the periodic Heisenberg chain

Details Lattice vs. continuum theory of the periodic Heisenberg chain Lattice vs. continuum theory of the periodic Heisenberg chain

2009-03-31

arxiv.org/abs/0904.0001v1

Phys. Rev. B 79, 245414 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

17 pages, 8 Figures. The latest version can be found at http://www.physik.uni-kl.de/eggert/papers/index.html

Scientific paper

10.1103/PhysRevB.79.245414

We consider the detailed structure of low energy excitations in the periodic spin-1/2 XXZ Heisenberg chain. By performing a perturbative calculation of the non-linear corrections to the Gaussian model, we determine the exact coefficients of asymptotic expansions in inverse powers of the system length N for a large number of low-lying excited energy levels. This allows us to calculate eigenenergies of the lattice model up to order order N^-4, without having to solve the Bethe Ansatz equations. At the same time, it is possible to express the exact eigenstates of the lattice model in terms of bosonic modes.

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