Exchange interaction energy in many-paraparticle systems
Abstract
Paraparticles generalize the fermion/boson dichotomy by replacing the usual antisymmetric/symmetric wavefunctions with more general representations of the permutation group. Although earlier studies suggested that paraparticle theories are physically indistinguishable from standard fermions and bosons, recent work has identified paraparticles that are, in principle, distinguishable and can emerge as quasiparticles in condensed matter systems. This work investigates the impact of interactions on such paraparticles, focusing on those exhibiting Fermi sea-like distributions. We examine the analogue of the exchange interaction, which in fermionic systems underlies phenomena like magnetism. Our results show that, at zero temperature, the exchange corrections for paraparticles match those of fermions. However, our results also suggest that deviations arise at finite temperature due to differences between paraparticle and Fermi-Dirac occupation statistics.
Downloads
Published
Issue
Section
License
By submitting their manuscript to the Samahang Pisika ng Pilipinas (SPP) for consideration, the Authors warrant that their work is original, does not infringe on existing copyrights, and is not under active consideration for publication elsewhere.
Upon acceptance of their manuscript, the Authors further agree to grant SPP the non-exclusive, worldwide, and royalty-free rights to record, edit, copy, reproduce, publish, distribute, and use all or part of the manuscript for any purpose, in any media now existing or developed in the future, either individually or as part of a collection.
All other associated economic and moral rights as granted by the Intellectual Property Code of the Philippines are maintained by the Authors.
