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

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  • Voigt, Andreas
  • Richter, Johannes
  • Ivanov, Nedko B.

Abstract

We present analytical and numerical calculations for some excited states of the frustrated J1−J2spin-12 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 Stotalz. Because of the reduced number of Ising basic 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.

Suggested Citation

  • Voigt, Andreas & Richter, Johannes & Ivanov, Nedko B., 1997. "Marshall-Peierls sign rule for excited states of the frustrated J1−J2 Heisenberg antiferromagnet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 269-275.
    • Handle: RePEc:eee:phsmap:v:245:y:1997:i:3:p:269-275
    DOI: 10.1016/S0378-4371(97)00330-0
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    1. Betts, RJ, 1978. "The teaching of business policy--A fresh approach," Omega, Elsevier, vol. 6(6), pages 515-522.
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    Keywords

    Heisenberg antiferromagnet; Frustration;

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