Density matrix for the kink ground state of the ferromagnetic XXZ chain

Details Density matrix for the kink ground state of the ferromagnetic XXZ chain Density matrix for the kink ground state of the ferromagnetic XXZ chain

2008-12-29

arxiv.org/abs/0812.4947v1

Phys. Rev. E79 (2009) 031108

Physics

Condensed Matter

Statistical Mechanics

7 pages, 9 figures

Scientific paper

10.1103/PhysRevE.79.031108

The exact expression for the density matrix of the kink ground state of the ferromagnetic XXZ chain is obtained. Utilizing this, we exactly calculate various correlation functions such as the longitudinal and transverse spin-spin correlation functions, and the ferromagnetic and antiferromagnetic string formation probabilities. The asymptotic behaviors of these correlation functions are also analyzed. As a consequence, we find that the spin-spin correlation functions decay exponentially for large distances, while the string formation probabilities exhibit Gaussian decay for large strings. We also evaluate the entanglement entropy, which shows interesting behaviors due to the lack of the translational invariance of the state.

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