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

We present analytical and numerical calculations for some excited states of the frustrated J 1− J 2 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 red...

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Bibliographic Details
Published in:	Physica A Vol. 245; no. 3; pp. 269 - 275
Main Authors:	Voigt, Andreas, Richter, Johannes, Ivanov, Nedko B.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01-11-1997
Subjects:	Frustration Heisenberg antiferromagnet 75.10.Jm 75.40.Mg Heisenberg antiferromagnet Frustration
Online Access:	Get full text
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Summary:	We present analytical and numerical calculations for some excited states of the frustrated J 1− J 2 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 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 J 2.
ISSN:	0378-4371 1873-2119
DOI:	10.1016/S0378-4371(97)00330-0