Marshall-Peierls Sign Rule in Frustrated Heisenberg Chains

• Authors: A. Voigt , J. Richter
• Languages of publication: EN

Abstracts

EN

We consider the frustrated antiferromagnetic s=1 Heisenberg quantum spin chain with regard to the Marshall-Peierls sign rule. Using exact diagonalization data we investigate the breakdown of the Marshall- Peierls sign rule in dependence on frustration and compare our findings with data for s=1/2. We calculate a critical value of frustration J_{2}^{crit}, where the Marshall-Peierls sign rule is violated. The extrapolation of this value to the infinite chain limit holds J_{2}^{crit} ≈ 0.016, lower than in the case of s=1/2 (J_{2}^{crit} ≈ 0.027). T his points to a stronger influence of frustration in the case of s=1. Nevertheless, the calculation of the weight of the Ising-states violating the Marshall- Peierls sign rule shows that the latter holds approximately even for a quite large frustration and may be used for numerical techniques.

Keywords

EN

75.10.Jm; 75.40.Mg; 75.50.Ee

Discipline

• 75.40.Mg: Numerical simulation studies
• 75.50.Ee: Antiferromagnetics
• 75.10.Jm: Quantized spin models, including quantum spin frustration

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2000
• Volume: 97
• Issue: 5
• Pages: 979-982

Dates

published

2000-05

Contributors

author

A. Voigt

• Institut für Theoretische Physik, Otto-von-Guericke-Universität Magdeburg, Postfach 4120, 39106 Magdeburg, Germany

author

J. Richter

• Institut für Theoretische Physik, Otto-von-Guericke-Universität Magdeburg, Postfach 4120, 39106 Magdeburg, Germany

Identifiers

DOI

10.12693/APhysPolA.97.979