https://doi.org/10.1140/epjp/s13360-020-00722-z
Regular Article
Ferromagnetism of the semi-simple cubic lattice
1
IM2NP-CNRS UMR 7334, Aix-Marseille Université, Campus St. Jérôme, Case 142, 13397, Marseille, France
2
Institute for Problems of Materials Science NASU, Krzhizhanovskogo 3, 03180, Kiev, Ukraine
3
Donostia International Physics Center (DIPC), Paseo Manuel de Lardizabal 4, 20018, San Sebastian/Donostia, Basque Country, Spain
4
Institut für Physik, Otto-von-Guericke-Universität Magdeburg, PF 4120, 39016, Magdeburg, Germany
5
Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187, Dresden, Germany
Received:
21
July
2020
Accepted:
27
August
2020
Published online:
22
September
2020
Heisenberg ferromagnet on a lattice with a low coordination number, 
, has been studied by means of high-temperature series and harmonic spin-wave expansion. The lattice is constructed by removing every second bond from the simple cubic lattice and therefore called ’semi-simple cubic’; it is topologically similar to the Laves graph, alias 
crystal. The openness of the lattice does not prevent ferromagnetic ordering and the thermal dependence of spontaneous magnetization differs little from that of other common lattices with higher Z. The study extends naturally toward a more general model where the bonds previously removed are now reinstated but endowed with a distinct exchange integral, 
. We concentrate on the more interesting frustrated case, 
, and a first prediction in this direction is that ferromagnetism disappears at 
, giving way to a long-wavelength spiral structure propagating along [111].
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
