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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

Conductance curve of the QD-NW-QD system with different MBS coupling strength. The dashed lines are the fitting Fano lineshapes. (a)εM=0, (b)εM=1, (c)εM=3, and (d)εM=5. Other parameters: ε0=0 and Γ=2.0.
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Fig4: Conductance curve of the QD-NW-QD system with different MBS coupling strength. The dashed lines are the fitting Fano lineshapes. (a)εM=0, (b)εM=1, (c)εM=3, and (d)εM=5. Other parameters: ε0=0 and Γ=2.0.

Mentions: If the nanowire is not long enough, the two MBSs living in the two ends of the wire couple to each other. Figure 4 depicts the conductance spectra with nonzero coupling between the two MBSs. Here, the energy levels of the two QDs are tuned align with the Fermi energy (i.e., ε0=0). Also, the conductance coming from electron teleportation survives, and the other two processes are suppressed. The conductance takes the form:(10)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$ {\fontsize{8.8}{6}\begin{aligned} G=\frac{e^{2}}{h}\frac{\Gamma^{2}[4t^{2}-2\epsilon_{M}\omega-\omega^{2}]^{2}}{\Gamma^{2}[4t^{2}-2\epsilon_{M}\omega-\omega^{2}]^{2} +\omega^{2}(4t^{2}-\epsilon_{M}\omega-\omega^{2})^{2}} \Big/_{\omega=eV_{b}}. \end{aligned}} $$ \end{document}G=e2hΓ2[4t2−2εMω−ω2]2Γ2[4t2−2εMω−ω2]2+ω2(4t2−εMω−ω2)2ω=eVb.Figure 4


Detection of Majorana fermions by Fano resonance in hybrid nanostructures.

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

Conductance curve of the QD-NW-QD system with different MBS coupling strength. The dashed lines are the fitting Fano lineshapes. (a)εM=0, (b)εM=1, (c)εM=3, and (d)εM=5. Other parameters: ε0=0 and Γ=2.0.
© Copyright Policy - open-access
Related In: Results  -  Collection

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

Fig4: Conductance curve of the QD-NW-QD system with different MBS coupling strength. The dashed lines are the fitting Fano lineshapes. (a)εM=0, (b)εM=1, (c)εM=3, and (d)εM=5. Other parameters: ε0=0 and Γ=2.0.
Mentions: If the nanowire is not long enough, the two MBSs living in the two ends of the wire couple to each other. Figure 4 depicts the conductance spectra with nonzero coupling between the two MBSs. Here, the energy levels of the two QDs are tuned align with the Fermi energy (i.e., ε0=0). Also, the conductance coming from electron teleportation survives, and the other two processes are suppressed. The conductance takes the form:(10)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$ {\fontsize{8.8}{6}\begin{aligned} G=\frac{e^{2}}{h}\frac{\Gamma^{2}[4t^{2}-2\epsilon_{M}\omega-\omega^{2}]^{2}}{\Gamma^{2}[4t^{2}-2\epsilon_{M}\omega-\omega^{2}]^{2} +\omega^{2}(4t^{2}-\epsilon_{M}\omega-\omega^{2})^{2}} \Big/_{\omega=eV_{b}}. \end{aligned}} $$ \end{document}G=e2hΓ2[4t2−2εMω−ω2]2Γ2[4t2−2εMω−ω2]2+ω2(4t2−εMω−ω2)2ω=eVb.Figure 4

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