scholarly journals Spatial Rabi oscillations between Majorana bound states and quantum dots

2018 ◽  
Vol 9 ◽  
pp. 1527-1535
Author(s):  
Jun-Hui Zheng ◽  
Dao-Xin Yao ◽  
Zhi Wang
Keyword(s):  
Quantum Dot ◽  
Bound States ◽  
Bound State ◽  
Double Quantum ◽  
Energy Splitting ◽  
Rabi Oscillations ◽  
Andreev Bound States ◽  
Majorana Bound States ◽  
Nonlocal Quantum ◽  
Equal Amplitude

Background: A Majorana bound state is a superconducting quasiparticle that is the superposition of particle and hole with equal amplitude. We propose a verification of this amplitude equality by analyzing the spatial Rabi oscillations of the quantum states of a quantum dot that is tunneling-coupled to the Majorana bound states. Results: We find two resonant Rabi driving energies that correspond to the energy splitting due to the coupling of two spatially separated Majorana bound states. The resulting Rabi oscillating frequencies from these two different resonant driving energies are identical for the Majorana bound states, while different for ordinary Andreev bound states. We further study a double-quantum-dot setup and find a nonlocal quantum correlation between them that is mediated by two Majorana bound states. This nonlocal correlation has the signature of additional resonant driving energies. Conclusion: Our method can be used to distinguish between Majorana bound states and Andreev bound states. It also gives a precise measurement of the energy splitting between two Majorana bound states.

scholarly journals Electronic Transport Through Double Quantum Dot Coupled to Majorana Bound States and Ferromagnetic Leads

2021 ◽  
Vol 8 ◽  
Author(s):  
Li-Wen Tang ◽  
Wei-Guo Mao
Keyword(s):  
Quantum Dot ◽  
Coupling Strength ◽  
Bound States ◽  
High Efficiency ◽  
Energy Levels ◽  
Electrical Current ◽  
Function Technique ◽  
Double Quantum ◽  
Majorana Bound States ◽  
Double Quantum Dot

We have studied theoretically the properties of electrical current and tunnel magnetoresistance (TMR) through a serially connected double quantum dot (DQD) sandwiched between two ferromagnetic leads by using the nonequilibrium Green’s function technique. We consider that each of the DQD couples to one mode of the Majorana bound states (MBSs) formed at the ends of a topological superconductor nanowire with spin-dependent coupling strength. By adjusting the sign of the spin polarization of dot–MBS coupling strength and the arrangement of magnetic moments of the two leads, the currents’ magnitude can be effectively enhanced or suppressed. Under some conditions, a negative TMR emerges which is useful in detection of the MBSs, a research subject currently under extensive investigations. Moreover, the amplitude of the TMR can be adjusted in a large regime by variation of several system parameters, such as direct hybridization strength between the MBSs or the dots and the positions of the dots’ energy levels. Such tunable currents and TMR may also find use in high-efficiency spintronic devices or information processes.

scholarly journals Quantum Interference Effects in Quantum Dot Molecular With Majorana Bound States

2021 ◽  
Vol 8 ◽  
Author(s):  
Feng Chi ◽  
Jing Wang ◽  
Tian-Yu He ◽  
Zhen-Guo Fu ◽  
Ping Zhang ◽  
...  
Keyword(s):  
Quantum Interference ◽  
Bound States ◽  
Quantum Information Processing ◽  
Bound State ◽  
Double Quantum ◽  
Zero Energy ◽  
Non Invasive ◽  
Majorana Bound States ◽  
Quantum Interference Effect ◽  
Core Issues

Non-invasive detection of the Majorana bound state (MBSs), a kind of quasiparticle without charge and mass, is one of the core issues in current condensed matter physics. Here we study in theory the quantum interference effect in parallel-coupled double quantum dots which are connected either by Majorana bound states (MBSs) or regular fermions. We find that the zero-energy conductance develops a sharp peak when the dots are connected by the MBSs, whereas that in the case of the dots are coupled via regular fermions shows a valley. By varying the coupling strength between the dots and the electron reservoirs, the conductance in the two structures changes in different ways. By comparing the properties of the linear conductance in the two systems, the information of the MBSs formed at the two ends of a topological superconductor nanowire then can be inferred. We also find that the MBSs in the present structure also induces the Fano effect, and is favorable in quantum information processing.

scholarly journals Andreev reflection in a T-shaped double quantum-dot with coupled Majorana bound states

2016 ◽  
Vol 65 (13) ◽  
pp. 137302
Author(s):  
Wang Su-Xin ◽  
Li Yu-Xian ◽  
Wang Ning ◽  
Liu Jian-Jun
Keyword(s):  
Quantum Dot ◽  
Bound States ◽  
Andreev Reflection ◽  
Double Quantum ◽  
Majorana Bound States ◽  
Double Quantum Dot

Andreev Reflection in a T-Shaped Double-Quantum-Dot Structure Induced by Majorana Bound States

2014 ◽  
Vol 83 (3) ◽  
pp. 034706 ◽  
Author(s):  
Wei-Jiang Gong ◽  
Shu-feng Zhang ◽  
Zhi-Chao Li ◽  
Guangyu Yi ◽  
Yi-Song Zheng
Keyword(s):  
Quantum Dot ◽  
Bound States ◽  
Andreev Reflection ◽  
Double Quantum ◽  
Majorana Bound States ◽  
Double Quantum Dot

scholarly journals Topological isoconductance signatures in Majorana nanowires

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
L. S. Ricco ◽  
J. E. Sanches ◽  
Y. Marques ◽  
M. de Souza ◽  
M. S. Figueira ◽  
...  
Keyword(s):  
Quantum Dot ◽  
Transport Properties ◽  
Spin Polarization ◽  
Bound States ◽  
Spin Asymmetry ◽  
Experimental Protocol ◽  
Zero Bias ◽  
Topological Superconductor ◽  
Hybrid Device ◽  
Majorana Bound States

AbstractWe consider transport properties of a hybrid device composed by a quantum dot placed between normal and superconducting reservoirs, and coupled to a Majorana nanowire: a topological superconducting segment hosting Majorana bound states (MBSs) at the opposite ends. It is demonstrated that if highly nonlocal and nonoverlapping MBSs are formed in the system, the zero-bias Andreev conductance through the dot exhibits characteristic isoconductance profiles with the shape depending on the spin asymmetry of the coupling between the dot and the topological superconductor. Otherwise, for overlapping MBSs with less degree of nonlocality, the conductance is insensitive to the spin polarization and the isoconductance signatures disappear. This allows to propose an alternative experimental protocol for probing the nonlocality of the MBSs in Majorana nanowires.

Odd–Even Effect of the Persistent Current in a Quantum Dot Ring with Embedded Majorana Bound States

2015 ◽  
Vol 84 (2) ◽  
pp. 024707 ◽  
Author(s):  
Wei-Jiang Gong ◽  
Ying Zhao ◽  
Zhen Gao ◽  
Guangyu Yi ◽  
Xin Zhang
Keyword(s):  
Quantum Dot ◽  
Bound States ◽  
Persistent Current ◽  
Majorana Bound States
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