2003/09/30 by V. Subrahmanyam · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.str-el
paper · pdf · doi:10.1103/physreva.69.022311
published as Phys. Rev. A69, 022311 (2004) · 7 pages, 3 figures
arxiv created 2003/12/24 · arxiv updated 2009/12/01
Entanglement sharing among pairs of spins in Heisenberg antiferromagnets is investigated using the concurrence measure. For a nondegenerate S=0 ground state, a simple formula relates the concurrence to the diagonal correlation function. The concurrence length is seen to be extremely short. A few finite clusters are studied numerically, to see the trend in higher dimensions. It is argued that nearest-neighbour concurrence is zero for triangular and Kagome lattices. The concurrences in the maximal-spin states are explicitly calculated, where the concurrence averaged over all pairs is larger than the S=0 states.