Marshall-Peierls sign rule for excited states of the frustrated J1-J2 Heisenberg antiferromagnet
A. Voigt (1), J. Richter (1), N. B. Ivanov (2) ((1) University, Magdeburg, (2) Bulgarian Academy of Sciences)
TL;DR
This paper investigates the persistence of the Marshall-Peierls sign rule in excited states of the frustrated J1-J2 Heisenberg antiferromagnet, using analytical and numerical methods on large spin systems.
Contribution
It provides the first extensive numerical evidence that the Marshall-Peierls sign rule holds for excited states at significant frustration levels in large systems.
Findings
Marshall-Peierls sign rule survives at high J2
Numerical diagonalization up to 144 spins
Applicable to excited states in frustrated systems
Abstract
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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