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

J. Richter·N. B. Ivanov·K. Retzlaff
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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.

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J. Richter, N. B. Ivanov, K. Retzlaff. 1994-07-08. On The Violation Of Marshall-Peierls Sign Rule In The Frustrated $J_{1}-J_{2}$ Heisenberg Antiferromagnet. https://doi.org/10.1209/0295-5075%2F25%2F7%2F012

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