Linked-cluster expansion for quantum spin systems and the perpendicular susceptibility of the Ising model
- 1 August 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 32 (3) , 1805-1812
- https://doi.org/10.1103/physrevb.32.1805
Abstract
The Wick reduction theorem is used in a linked-cluster-expansion calculation to facilitate the evaluation of the multi-integrals of the ordered products encountered in the expansion. The method resolves a major problem in the general linked-cluster expansion for quantum spin systems. We apply it to the evaluation of the perpendicular susceptibility of the Ising model. An eighth-order linked-cluster series is obtained for a general lattice. The temperature behavior of the perpendicular susceptibility of the three-dimensional Ising model (fcc lattice) is discussed.Keywords
This publication has 21 references indexed in Scilit:
- Monte Carlo studies of one-dimensional quantum Heisenberg andmodelsPhysical Review B, 1983
- Quantum-Statistical Monte Carlo Method for Heisenberg SpinsPhysical Review Letters, 1982
- High-temperature series analysis of spin-one uniaxial ferromagnets:·6O compoundsPhysical Review B, 1981
- Critical properties of dilute Heisenberg and Ising magnetsJournal of Physics C: Solid State Physics, 1979
- Zero-temperature renormalization-group method for quantum systems. III. Ising model in a transverse field in two dimensionsPhysical Review B, 1979
- Induced-moment singlet-triplet model: Relationship between the ground-state moment and the critical temperaturePhysical Review B, 1979
- Kondo Lattice: Real-Space Renormalization-Group ApproachPhysical Review Letters, 1977
- High-Temperature Series Expansion for Complicated Level SystemsPhysical Review Letters, 1977
- Critical behaviour of the Ising model with a transverse fieldJournal of Physics C: Solid State Physics, 1976
- Perpendicular Susceptibility of the Ising ModelJournal of Mathematical Physics, 1963