Diagonalization of a Bosonic Quadratic Form Using CCM: Application on a System with Two Interpenetrating Square Lattice Antiferromagnets

• Authors: S. Krüger , D. Schmalfuss , J. Richter
• Languages of publication: EN

Abstracts

EN

While the diagonalization of a quadratic bosonic form can always be done using a Bogolyubov transformation, the practical implementation for systems with a large number of different bosons is a tedious analytical task. Here we use the coupled cluster method to exactly diagonalise such complicated quadratic forms. This yields to a straightforward algorithm which can easily be implemented using computer algebra even for a large number of different bosons. We apply this method on a Heisenberg system with two interpenetrating square lattice antiferromagnets, which is a model for the quasi-2D antiferromagnet Ba_{2}Cu_{3}O_{4}Cl_{2}. Using a four-magnon spin wave approximation we get a complicated Hamiltonian with four different bosons, which is treated with coupled cluster method. Results are presented for magnetic ground state correlations.

Keywords

EN

75.50.Ee; 75.30.Ds; 31.15.Dv; 42.50.Lc

Discipline

• 75.30.Ds: Spin waves(for spin-wave resonance, see 76.50.+g)
• 75.50.Ee: Antiferromagnetics
• 42.50.Lc: Quantum fluctuations, quantum noise, and quantum jumps

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2000
• Volume: 97
• Issue: 5
• Pages: 951-954

Dates

published

2000-05

Contributors

author

S. Krüger

• Institut für Theoretische Physik, Universität Magdeburg, PF 4120, 39016 Magdeburg, Germany

author

D. Schmalfuss

• Institut für Theoretische Physik, Universität Magdeburg, PF 4120, 39016 Magdeburg, Germany

author

J. Richter

• Institut für Theoretische Physik, Universität Magdeburg, PF 4120, 39016 Magdeburg, Germany

Identifiers

DOI

10.12693/APhysPolA.97.951