Conductance spectroscopy of topological superconductor wire junctions

Abstract

We study the zero-temperature transport properties of one-dimensional normal-superconductor (NS) junctions with topological superconductors across their topological transitions. Working within the Blonder-Tinkham-Klapwijk (BTK) formalism generalized for topological NS junctions, we analytically calculate the differential conductance for tunneling into two models of a topological superconductor: a spinless intrinsic $p$-wave superconductor and a spin-orbit-coupled $s$-wave superconductor in a Zeeman field. In both cases we verify that the zero-bias conductance is robustly quantized at $2e^2/h$ in the topological regime, while it takes nonuniversal values in the non-topological phase. The conductance spectra in the topological state develops a peak at zero bias for certain parameter regimes, with the peak width controlled by the strength of spin-orbit coupling and barrier transparency.

10 pages, 7 figures. Minor typo corrected

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• Reproducing topological properties with quasi-Majorana states
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• Role of dissipation in realistic Majorana nanowires
• Generic quantized zero-bias conductance peaks in superconductor-semiconductor hybrid structures
• Electron temperature and tunnel coupling dependence of zero-bias and almost-zero-bias conductance peaks in Majorana nanowires
• Presence versus absence of end-to-end nonlocal conductance correlations in Majorana nanowires: Majorana bound states versus Andreev bound states
• Metamorphosis of Andreev bound states into Majorana bound states in pristine nanowires
• Multiple signatures of topological transitions for interacting fermions in chain lattices
• Transport signatures of topological superconductivity in a proximity-coupled nanowire
• Universal spin superconducting diode effect from spin-orbit coupling
• Crossover between trivial zero modes in Majorana nanowires
• Phenomenology of soft gap, zero bias peak, and zero mode splitting in ideal Majorana nanowires
• Conductance spectroscopy of nontopological-topological superconductor junctions
• Geometric Josephson effects in chiral topological nanowires
• Control and detection of Majorana bound states in quantum dot arrays
• Transport in superconductor--normal metal--superconductor tunneling structures: Spinful p-wave and spin-orbit-coupled topological wires
• Yu-Shiba-Rusinov bound states induced by a spin flipper in the vicinity of a s-wave superconductor
• Tunneling conductance in semiconductor-superconductor hybrid structures
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• Tip-induced Superconductivity
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• Quantum transport theory of hybrid superconducting systems
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• Honing in on a topological zero-bias conductance peak
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