Frustration and quantum entanglement in odd-membered ring-shaped chromium nanomagnets

In this paper, the interplay between frustration and entanglement is investigated in the family of ring-shaped chromium nanomagnets that exhibit various types of frustration. To this end, the exact measures of frustration and bipartite entanglement are calculated numerically in the ground state. It is demonstrated that though larger frustration generates stronger entanglement between complementary spin blocks and weaker between nearest-neighbor spins, the relation between entanglement and frustration is not strictly monotonic and can be used to reconcile different classifications of frustration. It is shown that in the geometrically frustrated phase the region in which the lower bound on the universal frustration measure is saturated increases as geometric frustration is diluted. The entanglement between particular complementary spin blocks can attain almost the maximal value for a proper choice of Hamiltonian parameters.