Existence of Phase Transition in Ising-like Heisenberg Antiferromagnets on the Kagome Lattice

Abstract

A phase transition is found in Ising-like Heisenberg antiferromagnets on the kagome lattice. Below the critical temperature, an exotic ferromagnetic order exists. Namely, a twofold symmetry of the system is broken and the system has a nonzero total magnetization, but no a sublattice long-range order.