Linear Antiferromagnetic Chain
- 15 December 1959
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 116 (6) , 1474-1477
- https://doi.org/10.1103/physrev.116.1474
Abstract
It is shown that a linear chain consisting of a large number of atoms of spin ½ with nearest neighbor ferromagnetic or antiferromagnetic interactions is mathematically equivalent to a one-dimensional Fermi gas with two-body forces. This equivalence is used to construct a wave function for which the expectation value of the energy lies between the two approximations obtained by Hulthén. Also, a perturbation treatment is given which permits, in principle, to obtain the exact antiferromagnetic ground state.Keywords
This publication has 10 references indexed in Scilit:
- Linear Antiferromagnetic Chain with Anisotropic CouplingPhysical Review B, 1958
- Sur la détermination de l'état fondamental d'un système de particulesNuclear Physics, 1958
- Derivation of the Brueckner many-body theoryProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1957
- Perturbation theory of large quantum systemsPhysica, 1957
- AntiferromagnetismProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1955
- The lowest energy state of a linear antiferromagnetic chainPhysica, 1952
- Limits on the Energy of the Antiferromagnetic Ground StatePhysical Review B, 1951
- Zur Theorie der MetalleThe European Physical Journal A, 1931
- Bemerkung zur Theorie des FerromagnetismusThe European Physical Journal A, 1930
- Zur Theorie des FerromagnetismusThe European Physical Journal A, 1928