Topological effects at short antiferromagnetic Heisenberg chains

Details Topological effects at short antiferromagnetic Heisenberg chains Topological effects at short antiferromagnetic Heisenberg chains

2000-06-27

arxiv.org/abs/cond-mat/0006409v1

Phys. Rev. B 65, 104401 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 6 figures

Scientific paper

10.1103/PhysRevB.65.104401

The manifestations of topological effects in finite antiferromagnetic Heisenberg chains is examined by density matrix renormalization group technique in this paper. We find that difference between integer and half-integer spin chains shows up in ground state energy per site when length of spin chain is longer than $\sim\xi$, where $\xi\sim\exp(\pi S)$ is a spin-spin correlation length, for spin magnitude S up to 5/2. For open chains with spin magnitudes $S=5/2$ to S=5, we verify that end states with fractional spin quantum numbers $S'$ exist and are visible even when the chain length is much smaller than the correlation length $\xi$. The end states manifest themselves in the structure of the low energy excitation spectrum.

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