Correlation Amplitudes for the spin-1/2 XXZ chain in a magnetic field

Details Correlation Amplitudes for the spin-1/2 XXZ chain in a magnetic field Correlation Amplitudes for the spin-1/2 XXZ chain in a magnetic field

2003-10-16

arxiv.org/abs/cond-mat/0310391v1

Phys. Rev. B 69, 064427 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages, 6 figures, 1 table

Scientific paper

10.1103/PhysRevB.69.064427

We present accurate numerical estimates for the correlation amplitudes of leading and main subleading terms of the two- and four-spin correlation functions in the one-dimensional spin-1/2 XXZ model under a magnetic field. These data are obtained by fitting the correlation functions, computed numerically with the density-matrix renormalization-group method, to the corresponding correlation functions in the low-energy effective theory. For this purpose we have developed the Abelian bosonization approach to the spin chain under the open boundary conditions. We use the numerical data of the correlation amplitudes to quantitatively estimate spin gaps induced by a transverse staggered field and by exchange anisotropy.

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