https://doi.org/10.1140/epjb/s10051-020-00041-3
Regular Article - Solid State and Materials
Kinematic interaction and condensation factor in two-dimensional quantum Heisenberg ferromagnet
Baotou Teachers’ College, Kexue Road 3, 014030, Baotou, China
Received:
7
September
2020
Accepted:
15
December
2020
Published online:
11
January
2021
We investigate the influences of Dyson’s kinematic and dynamic interaction on the physical properties of two-dimensional quantum Heisenberg ferromagnet with O(3) rotational symmetry. It is found that the repulsive potential led by dynamic interaction modifies the third large term with 
in the low-temperature series of specific heat. Under mean-field approximation, the kinematic interaction transforms the occupation-number configuration into a coherent-state configuration and significantly improves the result of modified spin wave theory in the high-temperature limit. In the low-temperature limit, the kinematic-interaction contribution to specific heat is negligibly small. For finite-size systems, it is found that a crossover temperature can be used to characterize the transition to a single-domain-type magnet. In the thermodynamic limit, the condensation factor (the number of zero-mode magnons) dominates the isothermal compressibility of magnon gas although there is not a real phase transition at finite temperatures. The asymptotic behavior of static structure factor depends on the relative size of the spin-wave wavelength with respect to the correlation length.
© EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021
