The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device
arXiv:2112.13554 · doi:10.1088/1367-2630/ac7c85
Abstract
In this paper, we investigate the non-Markovian quantum transport dynamics of a two-terminal Majorana device that is made of an asymmetric topological superconducting chain coupled to two leads. This asymmetric superconducting chain is analytically solvable and can be realized by a hybrid system of semiconductor nanowire coupled to superconductors or by 1D transverse-field Ising chains. In such asymmetric superconducting chains, by the change of chemical potential, its ground state undergoes a topological quantum phase transition from the topological Majorana bound state to the trivial Andreev bound state while the ground state energy remains zero. We solve the exact transient transport current and the corresponding differential conductance. The results show that the presence or absence of the interference between the left and right Majorana zero modes plays an important role on the topological phase transition of conductance. It cause the edge-localized topologically trivial states to be insulated with zero conductance, while the nonlocally distributed topologically nontrivial states always have a quantized conductance 2e^2/h. This dramatic change associated with topological phase transition for zero-mode differential conductance at zero bias is independent of the structure of leads and the coupling strength. We also examine the finite size effect of the superconducting chain and the coherence effect between zero mode and non-zero energy modes on the differential conductance in this two-terminal Majorana device.
arXiv comment15 pages, 7 figure
References in corpus (47)
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Helical liquids and Majorana bound states in quantum wires
- Classification of topological quantum matter with symmetries
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Quantum properties of atomic-sized conductors
- Majorana fermions in a tunable semiconductor device
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Majorana Fermion Induced Resonant Andreev Reflection
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Tunneling characteristic of a chain of Majorana bound states
- Milestones toward Majorana-based quantum computing
- Electron transport through single Mn12 molecular magnets
- From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
- Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach
- Scaling of Majorana Zero-Bias Conductance Peaks
- Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
- General non-Markovian dynamics of open quantum systems
- Ballistic Majorana nanowire devices
- Negative Differential Resistance in the Scanning Tunneling Spectroscopy of Organic molecules
- A non-Markovian decoherence theory for double dot charge qubit
- Reproducing topological properties with quasi-Majorana states
- Physical mechanisms for zero-bias conductance peaks in Majorana nanowires
- Majorana bound states in non-homogeneous semiconductor nanowires
- Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
- Quantized zero bias conductance plateau in semiconductor-superconductor heterostructures without non-Abelian Majorana zero modes
- Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
- The influence of ultra-fast laser pulses on electron transfer in molecular wires studied by a non-Markovian density matrix approach
- Majorana Fermion Surface Code for Universal Quantum Computation
- A nonequilibrium theory for transient transport dynamics in nanostructures via the Feynman-Vernon influence functional approach
- Distinguishing topological Majorana bound states from trivial Andreev bound states: Proposed tests through differential tunneling conductance spectroscopy
- Electric field tunable superconductor-semiconductor coupling in Majorana nanowires
- Topological Phase Transition without Gap Closing
- Decoherence of Majorana qubits by noisy gates
- Quantized and unquantized zero-bias tunneling conductance peaks in Majorana nanowires: Conductance below and above
- Tomography of Majorana Fermions with STM Tips
- Observation of Conductance Quantization in InSb Nanowire Networks
- Exact master equation and decoherence dynamics of Majorana zero modes under the gate-induced charge fluctuation
- Master equation approach to transient quantum transport incorporating with initial correlations
- Dissipative topological systems
- Buildup of Fano resonances in the time domain in a double quantum dot Aharonov-Bohm interferometer
- Probing topological states through the exact non-Markovian decoherence dynamics of a spin coupled to a spin bath in real-time domain
- Proximity-induced zero-energy states indistinguishable from topological edge states