Parastatistics in Interacting Periodic Chains Revealed by Peierls Phase Twists and Shifted Conformal Towers
Year: 2026
Type: article
Abstract: We consider interacting paraparticle chains with a constant R matrix where the Hamiltonian sums over the internal degrees (flavors) of the paraparticles. For such flavor-blind Hamiltonians, we show a general factorization of the Hilbert space into occupation and flavor parts with the Hamiltonian acting nontrivially only on the former. For open boundaries, the spectrum therefore coincides with that of the occupation Hamiltonian H_{occ} with the flavor part merely adding degeneracies. For periodic boundaries, a cyclic reordering of the flavors leads to a separation of H_{occ} into flux sectors at fixed particle number, thus making the parastatistics directly observable in the energy spectrum. For important exemplary cases, H_{occ} reduces to the XXZ chain with flux, allowing for an exact solution. In the gapless regime, this solution shows flux-shifted c=1 conformal towers in the low-energy spectrum and a temperature-dependent chemical potential in the bulk thermodynamics.
Source: Physical Review Letters
DOI: 10.1103/3spr-jfq4
Authors: Dirk Schuricht, Jesko Sirker
Institutions: Utrecht University, University of Manitoba
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7164506650