Kinematic interaction and condensation factor in two-dimensional quantum Heisenberg ferromagnet

Bao Xu ()
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Bao Xu: Baotou Teachers’ College

The European Physical Journal B: Condensed Matter and Complex Systems, 2021, vol. 94, issue 1, 1-12

Abstract: Abstract 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 $$T^{3}$$ T 3 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. Graphic abstract

Date: 2021
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DOI: 10.1140/epjb/s10051-020-00041-3

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