Hybridization induced triplet superconductivity with S^z=0
arxiv(2024)
摘要
The Kitaev superconducting chain is a model of spinless fermions with
triplet-like superconductivity. It has raised interest since for some values of
its parameters it presents a non-trivial topological phase that host Majorana
fermions. The physical realization of a Kitaev chain is complicated by the
scarcity of triplet superconductivity in real physical systems. Many proposals
have been put forward to overcome this difficulty and fabricate artificial
triplet superconducting chains. In this work we study a superconducting chain
of spinful fermions forming Cooper pairs, in a triplet S=1 state, but with
S^z=0. The motivation is that such pairing can be induced in chains that
couple through an antisymmetric hybridization to an s-wave superconducting
substrate. We study the nature of edge states and the topological properties of
these chains. In the presence of a magnetic field the chain can sustain gapless
superconductivity with pairs of Fermi points. The momentum space topology of
these Fermi points is non-trivial, in the sense that they can only disappear by
annihilating each other. For small magnetic fields, we find well defined
degenerate edge modes with finite Zeemann energy. These modes are not symmetry
protected and decay abruptly in the bulk as their energy merges with the
continuum of excitations.
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