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.