Probing electron-hole weights of an Andreev bound state by transient currents

Abstract

Andreev bound states (ABSs) are localized quantum states that contain both electron and hole components. They ubiquitously reside in inhomogeneous superconducting systems. Following theoretical analysis, we propose to probe the electron-hole weights of an ABS via a local tunneling measurement that detects the transient current under a steplike pulse bias. With our protocol, the ABS energy level can also be obtained from peaks of the Fourier spectrum of the transient current. Our protocol can be applied to detect robust zero-energy Majorana bound states (MBSs), which have equal electron-hole weights, in candidate platforms where local tunneling spectroscopy measurement is possible. In the 1D Majorana nanowire model, we numerically calculate the electron-hole weights for different types of low-energy bound states, including ABSs, quasi-MBSs, and MBSs.

14 pages, 5 figures

References in corpus (15)

• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Scaling of Majorana Zero-Bias Conductance Peaks
• Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
• A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
• Theory of the Franck-Condon blockade regime
• Near-unity Cooper pair splitting efficiency
• Transport Through Andreev Bound States in a Graphene Quantum Dot
• Dynamic Coulomb blockade in single-lead quantum dots
• Time-dependent Landauer-Büttiker formula for transient dynamics
• Majorana/Andreev crossover and the fate of the topological phase transition in inhomogeneous nanowires
• AC Josephson effect without superconductivity
• Universal conductance scaling of Andreev reflections using a dissipative probe
• Quantum interference and the time-dependent radiation of nanojunctions
• Performance of the T-matrix based master equation for Coulomb drag in double quantum dots

Cited by in corpus (7)

• Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
• Near zero-energy Caroli-de Gennes-Matricon vortex states in the presence of impurities
• Differential current noise as an identifier of Andreev bound states that induce nearly quantized conductance plateaus
• From Bloch Oscillations to a Steady-State Current in Strongly Biased Mesoscopic Devices
• Quantifying the non-Abelian property of Andreev bound states in inhomogeneous Majorana nanowires
• Andreev bound states at boundaries of polarized 2D Fermi superfluids with s-wave pairing and spin-orbit coupling
• Excess photon-assisted noise of Majorana and Andreev bound states