Resilience of Majorana fermions in the face of disorder

Habibi, Alireza; Jafari, Somaye; Rouhani, S.

doi:10.1103/physrevb.98.035142

Cited by 22 publications

(31 citation statements)

References 32 publications

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“…With the experimental progress aimed at confirming our predictions, an important question to address pertains to various forms of the disorder and their effect on the robustness of the MBS formation and control. Some general intuition and encouraging trends are already available by contrasting the role of disorder in the topological regime with the better studied trivial regime, since the disorder may even promote the MBS formation [77,78]. Our preliminary studies corroborate that by showing that the disorder in the orientation of the magnetization in the two regions of a spin valve [14], or in the size of MNPs has only a relatively weak effect on MBS.…”

supporting

confidence: 79%

Tunable magnetic textures in spin valves: From spintronics to Majorana bound states

et al. 2019

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Spin-valve structures in which a change of magnetic configuration is responsible for magnetoresistance led to impressive advances in spintronics, focusing on magnetically storing and sensing information. However, this mature technology also offers versatile control of magnetic textures with usually neglected underlying fringing fields to enable entirely different applications by realizing topologically-nontrivial states. Together with proximity-induced superconductivity in a two-dimensional electron gas with a large g-factor, these fringing fields realized in commercially-available spin valves provide Zeeman splitting, synthetic spin-orbit coupling, and confinement, needed for Majorana bound states (MBS). Detailed support for the existence and control of MBS is obtained by combining accurate micromagnetic simulation of fringing fields used as an input in Bogoliubov de Gennes equation to calculate low-energy spectrum, wavefunction localization, and local charge neutrality. A generalized condition for a quantum phase transition in these structures provides valuable guidance for the MBS evolution and implementing reconfigurable effective topological wires.

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supporting

confidence: 79%

Tunable magnetic textures in spin valves: From spintronics to Majorana bound states

et al. 2019

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“…The robustness of MBS against magnetic disorder has also been investigated for the case of a superconducting carbon nanotube with synthetic SOC [45]. A previous study reveals that in the highly disordered situation, Majorana edge modes are critically extended and beyond a disorder threshold value, determined by the localization length of the Majorana states, the Majorana states collapse into Anderson localized states in the bulk, resulting in a topological Anderson insulating state [73,74]. For the present stripe case, such a disorder threshold will depend on the period (λ) of the stripe.…”

Section: B Effects Of Magnetic Stripes Inhomogeneitymentioning

confidence: 99%

Electrical Control of Majorana Bound States Using Magnetic Stripes

Mohanta

Zhou

et al. 2019

Phys. Rev. Applied

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A hybrid semiconductor-superconductor nanowire on the top of a magnetic film in the stripe phase experiences a magnetic texture from the underlying fringing fields. The Zeeman interaction with the highly inhomogeneous magnetic textures generates a large synthetic spin-orbit coupling. We show that this platform can support the formation of Majorana bound states (MBS) localized at the ends of the nanowire. The transition to the topological superconducting phase not only depends on the nanowire parameters and stripe size but also on the relative orientation of the stripes with respect to the nanowire axis. Topological phase transitions with the corresponding emergence or destruction of MBS can be induced by reorienting the stripes or shifting their position, which can be achieved by passing a charge current through the magnetic film or by applying electrically-controlled strain to it. The proposed platform removes the need for external magnetic fields and offers a non-invasive electrical tuning of MBS with the perturbation (current or strain) acting only on thee magnetic film.

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“…The phase diagrams of the disordered Kitaev chain can be obtained by the RSWN method [64,69,80,81]. The RSWN is given by…”

Section: Model and Methodsmentioning

confidence: 99%

Disorder-induced Majorana zero modes in a dimerized Kitaev superconductor chain

Hua

Chen

et al. 2019

Phys. Rev. B

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Motivated by the recent experimental observation of the topological Anderson insulator in disordered atomic wires based on the Su-Schrieffer-Heeger (SSH) model, we study disorder effects on a dimerized Kitaev superconductor chain which is regarded as the superconductor version of the SSH model. By computing the real-space winding number and the zero-bias differential conductance, we analyze the topological phase transitions occurring in a dimerized Kitaev superconductor chain with disorder. It is found that disorder can induce a topologically nontrivial superconductor phase hosting Majorana zero modes (MZMs). We can regulate the appearance of disorder-induced MZMs by adjusting the dimerization parameter. Finally, we use the self-consistent Born approximation method to verify the numerical results. arXiv:1907.08787v1 [cond-mat.mes-hall]

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Resilience of Majorana fermions in the face of disorder

Cited by 22 publications

References 32 publications

Tunable magnetic textures in spin valves: From spintronics to Majorana bound states

Tunable magnetic textures in spin valves: From spintronics to Majorana bound states

Electrical Control of Majorana Bound States Using Magnetic Stripes

Disorder-induced Majorana zero modes in a dimerized Kitaev superconductor chain

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