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Detection of Majorana fermions by Fano resonance in hybrid nanostructures.

Xia JJ, Duan SQ, Zhang W - Nanoscale Res Lett (2015)

Bottom Line: The realization and detection of Majorana fermions in condensed matter systems are of considerable importance and interest.Moreover, we have found a peculiar relationship between the Fano factor q and the Majorana bound state coupling strength/the length of nanowire, which can be used for a design of an electronic nanoruler.Our method of detection of Majorana fermions based on Fano resonance is related to the global conductance profile, thus is robust to perturbations.

View Article: PubMed Central - PubMed

Affiliation: Institute of Applied Physics and Computational Mathematics, Beijing, P. O. Box 8009(28), 100088 China.

ABSTRACT
The realization and detection of Majorana fermions in condensed matter systems are of considerable importance and interest. We propose a scheme to detect the Majorana fermions by Fano resonance in hybrid nanostructures made of semiconductor quantum dots and quantum wire in proximity to superconductor. Through detailed theoretical studies of the transport properties of our hybrid nanostructures based on the non-equilibrium Green's function technique and the equation of motion approach, it is found that the Fano resonance in the current response due to the interference among different transmission paths may give clear signature of the existence of Majorana modes. Moreover, we have found a peculiar relationship between the Fano factor q and the Majorana bound state coupling strength/the length of nanowire, which can be used for a design of an electronic nanoruler. Our method of detection of Majorana fermions based on Fano resonance is related to the global conductance profile, thus is robust to perturbations.

No MeSH data available.


Related in: MedlinePlus

Dependence of the Fano factor q and MBS coupling strength on the length of the InSb nanowire. The inset depicts the Fano factor as a function of εM. The parameters are the same as those in Figure 6.
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Fig7: Dependence of the Fano factor q and MBS coupling strength on the length of the InSb nanowire. The inset depicts the Fano factor as a function of εM. The parameters are the same as those in Figure 6.

Mentions: Here, we consider a realistic InSb nanowire with m∗=0.015me, αR=0.2eV Å, a≈5.3 Å, and g=50 [15,53]. Tuning the induced superconducting gap Δ=0.375 meV, the Zeeman field B=0.178 T, and the chemical potential μeff=0.006 meV. The Fermi wave vector of the superconducting nanowire is kF≈0.0078 nm −1, and the superconducting coherence length is ξ≈97 nm. The coupling strength of the the MBSs as a function of the nanowire length is shown in Figure 6a. In general, there may be other parameters, t1and t2, that depend on L. When the L is not very small (in our concerned regime (L larger than 250 nm), see Figures 6a and 7), the MF is well localized near the edge of the nanowire, then there is no distinct dependence of ti on L.Figure 6


Detection of Majorana fermions by Fano resonance in hybrid nanostructures.

Xia JJ, Duan SQ, Zhang W - Nanoscale Res Lett (2015)

Dependence of the Fano factor q and MBS coupling strength on the length of the InSb nanowire. The inset depicts the Fano factor as a function of εM. The parameters are the same as those in Figure 6.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4446293&req=5

Fig7: Dependence of the Fano factor q and MBS coupling strength on the length of the InSb nanowire. The inset depicts the Fano factor as a function of εM. The parameters are the same as those in Figure 6.
Mentions: Here, we consider a realistic InSb nanowire with m∗=0.015me, αR=0.2eV Å, a≈5.3 Å, and g=50 [15,53]. Tuning the induced superconducting gap Δ=0.375 meV, the Zeeman field B=0.178 T, and the chemical potential μeff=0.006 meV. The Fermi wave vector of the superconducting nanowire is kF≈0.0078 nm −1, and the superconducting coherence length is ξ≈97 nm. The coupling strength of the the MBSs as a function of the nanowire length is shown in Figure 6a. In general, there may be other parameters, t1and t2, that depend on L. When the L is not very small (in our concerned regime (L larger than 250 nm), see Figures 6a and 7), the MF is well localized near the edge of the nanowire, then there is no distinct dependence of ti on L.Figure 6

Bottom Line: The realization and detection of Majorana fermions in condensed matter systems are of considerable importance and interest.Moreover, we have found a peculiar relationship between the Fano factor q and the Majorana bound state coupling strength/the length of nanowire, which can be used for a design of an electronic nanoruler.Our method of detection of Majorana fermions based on Fano resonance is related to the global conductance profile, thus is robust to perturbations.

View Article: PubMed Central - PubMed

Affiliation: Institute of Applied Physics and Computational Mathematics, Beijing, P. O. Box 8009(28), 100088 China.

ABSTRACT
The realization and detection of Majorana fermions in condensed matter systems are of considerable importance and interest. We propose a scheme to detect the Majorana fermions by Fano resonance in hybrid nanostructures made of semiconductor quantum dots and quantum wire in proximity to superconductor. Through detailed theoretical studies of the transport properties of our hybrid nanostructures based on the non-equilibrium Green's function technique and the equation of motion approach, it is found that the Fano resonance in the current response due to the interference among different transmission paths may give clear signature of the existence of Majorana modes. Moreover, we have found a peculiar relationship between the Fano factor q and the Majorana bound state coupling strength/the length of nanowire, which can be used for a design of an electronic nanoruler. Our method of detection of Majorana fermions based on Fano resonance is related to the global conductance profile, thus is robust to perturbations.

No MeSH data available.


Related in: MedlinePlus