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

J. Richter; K. Retzlaff; N.B. Ivanov

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

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arxiv cond-mat/9407041 v1 pith:7I7U7OWB submitted 1994-07-08 cond-mat

J. Richter , N.B. Ivanov , K. Retzlaff This is my paper

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keywords antiferromagnetheisenbergmarshall-peierlsrulesignsuggestionaboveanalysis

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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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