On The Violation Of Marshall-Peierls Sign Rule In The Frustrated $J_{1}-J_{2}$ Heisenberg Antiferromagnet

Physics – Condensed Matter

Scientific paper

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8 pages, LaTex, 2 figurs on request

Scientific paper

10.1209/0295-5075/25/7/012

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.

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