Marshall-Peierls sign rule for excited states of the frustrated J1-J2 Heisenberg antiferromagnet

Details Marshall-Peierls sign rule for excited states of the frustrated J1-J2 Heisenberg antiferromagnet Marshall-Peierls sign rule for excited states of the frustrated J1-J2 Heisenberg antiferromagnet

1997-05-31

arxiv.org/abs/cond-mat/9706001v1

Physica A 245 (1997) 269-275

Physics

Condensed Matter

Statistical Mechanics

7 pages, LaTeX, 4 eps figures, to appear in Physica A

Scientific paper

We present analytical and numerical calculations for some exited states of the frustrated J1-J2 spin-1/2 Heisenberg model for linear chains and square lattices. We consider the lowest eigenstates in the subspaces determined by the eigenvalue M of the spin operator S_total^z. Because of the reduced number of Ising basis states in the subspaces with higher M we are able to diagonalize systems with up to N=144 spins. We find evidence that the Marshall-Peierls sign rule survives for a relatively large frustration parameter J2.

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