On The Violation Of Marshall-Peierls Sign Rule In The Frustrated $J_1-J_2$ Heisenberg Antiferromagnet

Abstract

We present a number of arguments in favor of the suggestion that the Marshall-Peierls sign rule survives the frustration in the square-lattice Heisenberg antiferromagnet with frustrating next-nearest-neighbor (diagonal) bonds ($J_1-J_2$ model) for relatively large values of the parameter $J_2/J_1$. Both the spin-wave analysis and the exact-diagonalization data concerning the weight of Marshall states support the above suggestion.

8 pages, LaTex, 2 figurs on request

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