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Majorana modes meet fractional fermions in one dimension

2016/02/03 by Dan-Bo Zhang, Zhang, Dan-bo, Qiang-Hua Wang +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics of Superconductivity and Magnetism #Strongly Correlated Electrons (cond-mat.str-el) #Superconductivity (cond-mat.supr-con) #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.1602.01267

openalex publication_date 2016/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Majorana modes and fractional fermions are two types of edge zero modes appearing separately in topological superconductors and dimerized chains. Here we reveal how to harvest both types of edge modes simultaneously in an exotic chain. Such modes are naturally spin-charge separated, and are protected by the inversion and spin-parity symmetries. We construct a lattice model to illustrate the nature of these edge modes, utilizing fermionic functional renormalization group, mean-field theory and bosonization. We also elucidate that the four-fold degenerate ground states with edge-spinons in the Haldane phase of spin-1 chain may be reinterpreted as our spin-charge separated edge modes in an equivalent spin-1/2 fermionic model.

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