Bosonization in -paraparticle Luttinger models
arXiv:2508.20429 · doi:10.1103/51qz-bmh5
Abstract
Alternative theories of quantum statistics provide an avenue for exploring novel physics beyond bosons and fermions, yet experimental verification of their existence in nature proves a challenging task. Among these theories, it has recently been suggested that parastatistics can be realized as quasiparticle excitations in many-body systems. In this paper, we build on this idea by showing that signatures of parastatistics can be observed as flavor-charge separation in one-dimensional (1D) systems. We consider a generalized version of the Luttinger model (LM) and show that bosonization persists when the paraparticles have Fermi-surface-like structures. These parafermions can satisfy generalized exclusion principles beyond conventional Pauli's. We show that density waves of all parafermions can always be bosonized, but flavor waves act like bosons only for a certain subclass of parafermions. We derive the conditions for bosonization by analyzing the LM spectrum, showing that bosonization applies only to low-temperature systems. Signatures of flavor-charge separation then become apparent as distinct dispersion profiles when we turn on interparticle interactions. This points to potential observations of flavor-charge separation in 1D systems that host emergent paraparticles.
12 pages, 2 figures; post-publication note added