Effect of interaction on the Majorana zero modes in the Kitaev chain at half filling

Abstract

The one dimension interacting Kitaev chain at half filling is studied. The symmetry of the Hamiltonian is examined by dual transformations and various physical quantities as functions of the fermion-fermion interaction $U$ are calculated systematically using the density matrix renormalization group method. A special value of interaction $U_p$ is revealed in the topological region of the phase diagram. We show that at $U_p$ the ground states are strictly two-fold degenerate even though the chain length is finite and the zero-energy peak due to the Majorana zero modes is maximally enhanced and exactly localized at the end sites. $U_p$ may be attractive or repulsive depending on other system parameters. We also give a qualitative understanding of the effect of interaction under the self-consistent mean field framework.

arXiv comment5 pages, 4 figures

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Cited by in corpus (4)

• From Topological Superconductivity to Quantum Hall States in Coupled Wires
• Coexistence of Strong and Weak Majorana Zero Modes in Anisotropic XY Spin Chain with Second-Neighbor Interaction
• Dynamics of Majorana zero modes across hybrid Kitaev chain
• Sub-gap Fano resonances in a topological superconducting wire with on-site Coulomb interactions