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Majorana edge states in interacting two-chain ladders of fermions

2011/06/30 by Meng Cheng, Hong-Hao Tu · 6 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Chain (unit) #Computer science #Enhanced Data Rates for GSM Evolution #Fermion #MAJORANA #Physics #Quantum many-body systems #Quantum mechanics #Theoretical physics #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.84.094503

published as Phys. Rev. B 84, 094503 (2011) · 6 pages, 1 figure

arxiv created 2011/08/10 · openalex publication_date 2011/09/12 · arxiv updated 2011/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this work, we study interacting spinless fermions on a two-chain ladder with interchain pair tunneling while single-particle tunneling is suppressed at low energy. The model embodies a ℤ2 symmetry associated with the fermion parity on each chain. We find that when the system is driven to the strong-coupling phase by the pair tunneling, Majorana excitations appear on the boundary. Such Majorana edge states correspond to two-fold degeneracy of ground states distinguished by different fermion parity on each chain, thus representing a generalization of one-dimensional topological superconductors. We also characterize the stability of the ground-state degeneracy against local perturbations. Lattice fermion models realizing such an effective field theory are discussed.

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