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Topological phases of strongly-interacting time-reversal invariant topological superconducting chains under a magnetic field

2023/11/03 by Leandro M. Chinellato, C. J. Gazza, Chinellato, Leandro M. +5
Physics and Astronomy · #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el) #Superconductivity (cond-mat.supr-con) #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.2311.01880

openalex publication_date 2023/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the density-matrix renormalization group, we determine the different topological phases and low-energy excitations of a time-reversal invariant topological superconducting (TRITOPS) wire with extended s-wave superconductivity, Rashba spin-orbit coupling (SOC) and on-site repulsion U, under an externally applied Zeeman field J. For the case in which J is perpendicular to the SOC, the model describes a chain of Shiba impurities on top of a superconductor with extended superconductor pairing. We identify the different topological phases of the model at temperature T=0, and in particular study the stability of the TRITOPS phase against the Zeeman field J and the chemical potential μ, for different values of U. In the case where the magnetic field J is perpendicular to the SOC axis, the pair of Kramers-degenerate Majorana zero modes at the edges of the system that exist for J=0, remain degenerate until a critical value of the magnetic field is reached. For J parallel to the SOC and up to moderate values of U, the fractional spin projection ⟨ Sy ⟩=1/4 at the ends, found for non-interacting wires at U=0, is recovered. In addition, the analytic expression that relates ⟨ Sy ⟩ with J for finite non-interacting chains is shown to be universal up to moderate values of U.

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