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VOLUME 53 (1991) | ISSUE 2 | PAGE 87
Instability of a state of a quantum Hall effect in 2D spin systems
A special generalization of the nonrelativistic Goldstone theorem is used to prove the existence of gapless modes in a state (proposed previously) of a quantum Hall effect for 2D antiferromagnets. In the absence of holes, this state therefore could not be the ground state for any spin system with a short-range exchange.