Tunneling spectrum of a pinned vortex with a robust Majorana state

Akzyanov, R. S.; Rozhkov, A. V.; Rakhmanov, A. L.; Nori, Franco

doi:10.1103/physrevb.89.085409

Cited by 42 publications

(42 citation statements)

References 43 publications

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“…However there exist other low energy quasiparticle states in the vortex core that separated from the MZM by tiny energy gap, i.e., the Caroli-de Gennes-Matricon states. [36][37][38][39] The energy gap is estimated to be 0:…”

Section: Experimental Detection Of Mzmmentioning

confidence: 99%

Detection of Majorana zero mode in the vortex

Sun

Jia

2017

npj Quant Mater

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Majorana zero modes, which behave like Majorana fermions, are quasiparticle excitations in condensed matter systems. They obey non-Abelian statistics, and have been proposed as building blocks of topological quantum computers. They are predicted to exist in the vortex of topological superconductors. In 2012, such a topological superconductor was engineered by depositing topological insulator thin films on top of an s-wave superconductor. Thereafter, several evidences have been reported to prove the Majorana zero modes' existence in the vortex. In this review, by putting all experimental and theoretical results together, we show that these experimental evidences are consistent and they are also strongly supported by the theories, so the existence of Majorana zero mode is firmly established. Moreover, the adjacent Majorana zero modes annihilate when two vortices are close enough, which demonstrate that they have the nature of Majorana fermions. Finally, their potential application in topological quantum computing is discussed.

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Section: Experimental Detection Of Mzmmentioning

confidence: 99%

Detection of Majorana zero mode in the vortex

Sun

Jia

2017

npj Quant Mater

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“…Majorana bound states (MBSs) [1,2] in solid-state systems are recently attracting increasing interest, both theoretically and experimentally. Proposed by Kitaev more than ten years ago in a spinless toy model [1], these zero-energy bound states are expected to exist in several structures with spin, including nanowires with spinorbit coupling (SOC) in proximity to a superconductor (SC) [3][4][5], ferromagnetic atom chains on top of a SC [6], topological insulator/SC hybrid structures [7][8][9][10][11][12], quantum dot (QD) chains with SC in adjacence [13][14][15], as well as cold-atom systems [16]. Experimentally, possible signatures of MBS have been reported in nanowires [17][18][19], atom chains [20], and topological insulator/SC structures [21].…”

Section: Introductionmentioning

confidence: 99%

Majorana bound states in a disordered quantum dot chain

Zhang

Nori

2016

New J. Phys.

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We study Majorana bound states in a disordered chain of semiconductor quantum dots proximitycoupled to an s-wave superconductor. By calculating its topological quantum number, based on the scattering-matrix method and a tight-binding model, we can identify the topological property of such an inhomogeneous one-dimensional system. We study the robustness of Majorana bound states against disorder in both the spin-independent terms (including the chemical potential and the regular spin-conserving hopping) and the spin-dependent term, i.e., the spin-flip hopping due to the Rashba spin-orbit coupling. We find that the Majorana bound states are not completely immune to the spinindependent disorder, especially when the latter is strong. Meanwhile, the Majorana bound states are relatively robust against spin-dependent disorder, as long as the spin-flip hopping is of uniform sign (i.e., the varying spin-flip hopping term does not change its sign along the chain). Nevertheless, when the disorder induces sign-flip in spin-flip hopping, the topological-nontopological phase transition takes place in the low-chemical-potential region.

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“…This state was considered in details in our previous papers [7,8]. MFs could also localize near boundary of the SC island, but such states are not investigated properly.…”

Section: Introductionmentioning

confidence: 99%

“…MFs could also localize near boundary of the SC island, but such states are not investigated properly. In our previous works [7,8], we investigated theMajorana fermion in the core of the vortex pinned by a hollow channel in an s-wave superconductor placed on the top of a topological insulator. This channel removes Caroli-DeGennes-Matrikon levels in the core of the vortex in the s-wave superconductor making the Majorana fermion robust [7].…”

Section: Introductionmentioning

confidence: 99%

Majorana Fermion in Superconducting Island on Top of Topological Insulator

Rakhmanov

Akzyanov

Rozhkov

2016

J Supercond Nov Magn

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We study the electron states localized at the edge of a superconducting island placed on the top of a topological insulator in a transverse magnetic field. In such systems, Majorana fermions emerge if an odd number of vortices is hosted by the island. Majorana states emerge in pairs: one state is localized near the vortex core, and another at the island edge. We analyze the robustness of Majorana fermions at the edge of the island threaded by a single vortex. If the system parameters are optimized, the energy gap between the Majorana fermion and the first excited state at the edge is of the order of the superconducting gap induced on the surface of the topological insulator. The stability of the Majorana fermion state against a variation of the gate voltage and its sensitivity to the magnetic field allows one to experimentally distinguish the edge Majorana fermion from conventional Dirac fermions.

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Tunneling spectrum of a pinned vortex with a robust Majorana state

Cited by 42 publications

References 43 publications

Detection of Majorana zero mode in the vortex

Detection of Majorana zero mode in the vortex

Majorana bound states in a disordered quantum dot chain

Majorana Fermion in Superconducting Island on Top of Topological Insulator

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