Kitaev chain with a quantum dot

Abstract

We solve analytically the problem of a finite length Kitaev chain coupled to a quantum dot (QD), which extends the standard Kitaev chain problem making it more closely related to the quantum dot-semiconductor-superconductor (QD-SM-SC) nanowire heterostructure that is currently under intense investigation for possible occurrence of Majorana zero modes (MZMs). Our analytical solution reveals the emergence of a robust Andreev bound state (ABSs) localized in the quantum dot region as the generic lowest energy solution in the topologically trivial phase. By contrast, in the bare Kitaev chain problem such a solution does not exist. The robustness of the ABS in the topologically trivial phase is due to a partial decoupling of the component Majorana bound states (MBSs) over the length of the dot potential. As a result, the signatures of the ABS in measurements that couple locally to the quantum dot, e.g., tunneling measurements, are identical to the signatures of topologically-protected MZMs, which arise only in the topological superconducting (TS) phase of the Kitaev chain.

11 pages, 8 figures

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Cited by in corpus (8)

• Majorana nanowires for topological quantum computation
• Exact eigenvectors and eigenvalues of the finite Kitaev chain and its topological properties
• Partially-separated Majorana modes in a disordered medium
• Feasibility of measurement-based braiding in the quasi-Majorana regime of semiconductor-superconductor heterostructures
• Robustness of Majorana edge states of short-length Kitaev chains coupled with environment
• Dephasing of Majorana qubits due to quasistatic disorder
• Dynamics of Majorana zero modes across hybrid Kitaev chain
• Topological signatures in a weakly dissipative Kitaev chain of finite length