Transport properties of coupled Majorana bound states in the Coulomb blockade regime

Ekström, Johan; Recher, Patrik; Schmidt, Thomas L.

doi:10.1103/physrevb.101.195420

Cited by 11 publications

(4 citation statements)

References 55 publications

(83 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The rich physics of coherent dynamics resulting from the interplay of the two channels can help to confirm the MZMs beyond the zero-bias-peak of conductance. The present study is also expected to stimulate further study of Majorana island in the presence of finite E C , which has been commonly assumed in contexts such as Majorana qubit construction, manipulation, and measurement [41][42][43][44][45][46][47][48][49].…”

Section: Introductionmentioning

confidence: 83%

Cross-correlation mediated by Majorana island with finite charging energy

Feng,

Qin,

2021

Preprint

View full text Add to dashboard Cite

Based on the many-particle-number-state treatment for transport through a pair of Majorana zero modes (MZMs) which are coupled to the leads via two quantum dots, we identify that the reason for zero cross correlation of currents at uncoupling limit between the MZMs is from a degeneracy of the teleportation and the Andreev process channels. We then propose a scheme to eliminate the degeneracy by introducing finite charging energy on the Majorana island which allows for coexistence of the two channels. We find nonzero cross correlation established even in the Majorana uncoupling limit, which demonstrates well the nonlocal nature of the MZMs. More specifically, the characteristic structure of coherent peaks in the power spectrum of the cross correlation is analyzed to identify the nonlocal and coherent coupling mechanism between the MZMs and the quantum dots. We also display the behaviors of peak shift with variation of the Majorana coupling energy, which can be realized by modulating parameters such as the magnetic field.

show abstract

Section: Introductionmentioning

confidence: 83%

Cross-correlation mediated by Majorana island with finite charging energy

Feng,

Qin,

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…So,

, the Hamiltonian of quantum dot molecule is expressed as:

here,

is the creation (annihilation) operator of quantum dot

with electronic energy levels

. Beyond the Coulomb blockade regime with the condition of

(

is the charging energy), single-electron tunneling is dominant for each QD [61] , [62] . In the second term,

describes the inter-dot hopping strength which can be tuned using an applied gate voltage.…”

Section: Modelmentioning

confidence: 99%

Robust entanglement of an asymmetric quantum dot molecular system in a Josephson junction

Afsaneh

Harouni

2020

Heliyon

View full text Add to dashboard Cite

We demonstrate the generation of robust entanglement of a quantum dot molecular system in a voltage-controlled junction. To improve the quantum information characteristics of this system, we propose an applicable protocol which contains the implementation of asymmetric quantum dots as well as the engineering of reservoirs. Quantum dots can provide asymmetric coupling coefficients due to the tunable energy barriers through the gap voltage changes. To engineer the reservoirs, superconducting leads are used to prepare a voltage-biased Josephson junction. The high-controllability properties of this system give the arbitrary magnitude of entanglement by the arrangement of parameters. Significantly, the perfect entanglement can be achieved for an asymmetric structure in response to the increase of bias voltage, and also it continues saturated with the near-unit amount.

show abstract

Section: Introductionmentioning

confidence: 99%

Cross correlation mediated by Majorana island with finite charging energy

Feng

Qin²,

Li³

2021

New J. Phys.

View full text Add to dashboard Cite

Based on the many-particle-number-state treatment for transport through a pair of Majorana zero modes (MZMs) which are coupled to the leads via two quantum dots, we identify that the reason for zero cross correlation of currents at uncoupling limit between the MZMs is from a degeneracy of the teleportation and the Andreev process channels. We then propose a scheme to eliminate the degeneracy by introducing finite charging energy on the Majorana island which allows for coexistence of the two channels. We find nonzero cross correlation established even in the Majorana uncoupling limit (and also in the small charging energy limit), which demonstrates well the teleportation or nonlocal nature of the MZMs. More specifically, the characteristic structure of coherent peaks in the power spectrum of the cross correlation is analyzed to identify the nonlocal and coherent coupling mechanism between the MZMs and the quantum dots. We also display the behaviors of peak shift with variation of the Majorana coupling energy, which can be realized by modulating parameters such as the magnetic field.

show abstract

Transport properties of coupled Majorana bound states in the Coulomb blockade regime

Cited by 11 publications

References 55 publications

Cross-correlation mediated by Majorana island with finite charging energy

Cross-correlation mediated by Majorana island with finite charging energy

Robust entanglement of an asymmetric quantum dot molecular system in a Josephson junction

Cross correlation mediated by Majorana island with finite charging energy

Contact Info

Product

Resources

About