2016/11/30 by Fernando Iemini, Christophe Mora, Leonardo Mazza · 1 citation
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Combinatorics #Fermion #Fock space #Ground state #MAJORANA #Mathematics #Order (exchange) #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Topological Materials and Phenomena #Topological order #Topology (electrical circuits) #Wave function #cond-mat.mes-hall #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevlett.118.170402
published as Phys. Rev. Lett. 118, 170402 (2017) · 6 + 9 pages, 3 figures
arxiv created 2017/04/11 · openalex publication_date 2017/04/25 · arxiv updated 2017/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Parafermions are emergent excitations that generalize Majorana fermions and can also realize topological order. In this Letter, we present a nontrivial and quasi-exactly-solvable model for a chain of parafermions in a topological phase. We compute and characterize the ground-state wave functions, which are matrix-product states and have a particularly elegant interpretation in terms of Fock parafermions, reflecting the factorized nature of the ground states. Using these wave functions, we demonstrate analytically several signatures of topological order. Our study provides a starting point for the nonapproximate study of topological one-dimensional parafermionic chains with spatial inversion and time-reversal symmetry in the absence of strong edge modes.