On the ground-state properties of antiferromagnetic half-integer spin chains with long-range interactions

Details On the ground-state properties of antiferromagnetic half-integer spin chains with long-range interactions On the ground-state properties of antiferromagnetic half-integer spin chains with long-range interactions

2002-05-20

arxiv.org/abs/cond-mat/0205408v3

J. Phys. A: Math. Gen. 36 (2003) L599-L604

Physics

Condensed Matter

3 pages, RevTeX4

Scientific paper

10.1088/0305-4470/36/47/L01

The Lieb-Shultz-Mattis theorem is extended to Heisenberg chains with
long-range interactions. We prove that the half-integer spin chain has no gap,
if it possesses unique ground state and the exchange decays faster than the
inverse-square of distance between spins. The results can be extended to a wide
class of one-dimensional models.

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