Topological Yu-Shiba-Rusinov chain from spin-orbit coupling

Brydon, P. M. R.; Sarma, S. Das; Hui, Hoi-Yin; Sau, Jay D.

doi:10.1103/physrevb.91.064505

Cited by 132 publications

(158 citation statements)

References 46 publications

(81 reference statements)

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“…103 There have been several theoretical analyses of this ferromagnetic nanowire Majorana platform [104][105][106][107][108] showing that such a system is indeed generically capable of supporting MZMs without any need for fine tuning of the chemical potential, i.e., the system is always in the topological phase as the spin splitting V x is always much larger than Δ and μ. Although potentially an important development, more data (particularly, at lower temperatures, higher induced superconducting gap values and longer wires) would be necessary before any firm conclusion can be drawn about the experiment of ref.…”

Section: Signatures Of Mzms In Topological Superconductorsmentioning

confidence: 99%

Majorana zero modes and topological quantum computation

2015

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We provide a current perspective on the rapidly developing field of Majorana zero modes (MZMs) in solid-state systems. We emphasise the theoretical prediction, experimental realisation and potential use of MZMs in future information processing devices through braiding-based topological quantum computation (TQC). Well-separated MZMs should manifest non-Abelian braiding statistics suitable for unitary gate operations for TQC. Recent experimental work, following earlier theoretical predictions, has shown specific signatures consistent with the existence of Majorana modes localised at the ends of semiconductor nanowires in the presence of superconducting proximity effect. We discuss the experimental findings and their theoretical analyses, and provide a perspective on the extent to which the observations indicate the existence of anyonic MZMs in solid-state systems. We also discuss fractional quantum Hall systems (the 5/2 state), which have been extensively studied in the context of non-Abelian anyons and TQC. We describe proposed schemes for carrying out braiding with MZMs as well as the necessary steps for implementing TQC. INTRODUCTIONTopological quantum computation 1,2 is an approach to faulttolerant quantum computation in which the unitary quantum gates result from the braiding of certain topological quantum objects called 'anyons'. Anyons braid non-trivially: two counterclockwise exchanges do not leave the state of the system invariant, unlike in the cases of bosons or fermions. Anyons can arise in two ways: as localised excitations of an interacting quantum Hamiltonian 3 or as defects in an ordered system.

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Section: Signatures Of Mzms In Topological Superconductorsmentioning

confidence: 99%

Majorana zero modes and topological quantum computation

2015

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“…where x ij = x i − x j = (i − j )a and the coupling J E , which is essentially given by the Green's function of the bulk and the magnetic texture [9]. Furthermore, we have also introduced the dimensionless Shiba coupling α = πJ Sν 0 , where ν 0 is the density of states at the Fermi energy.…”

Section: Ferromagnetic Shiba Chainmentioning

confidence: 99%

“…Different aspects of these systems are under intense experimental [3][4][5] and theoretical [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] investigation at the moment. While the application potential of magnetic chains seem more rigid compared to the semiconducting nanowire-based realizations [24][25][26][27][28] of topological superconductivity, they also offer important advantages over them.…”

Section: Introductionmentioning

confidence: 99%

Topological superconductivity and anti-Shiba states in disordered chains of magnetic adatoms

2016

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Regular arrays of magnetic atoms on a superconductor provide a promising platform for topological superconductivity. In this work, we study the effects of disorder in these systems, focusing on vacancies realized by missing magnetic atoms. We develop approaches that allow treatment of ferromagnetic dense chains as well as long-range hopping ferromagnetic and helical Shiba chains at arbitrary subgap energies. Vacancies in magnetic chains play an analogous role to magnetic impurities in a clean s-wave superconductor. A single vacancy in a topological chain gives rise to a low-lying "anti-Shiba" state below the band edge of a regular magnetic chain. Proliferation of the anti-Shiba band formed by a finite density of hybridized vacancy states leads to deterioration of the topological phase, which exhibits unusual fragility in a particular parameter region in dilute chains. We also consider local fluctuation in the Shiba coupling and discuss how vacancy states could contribute to experimental verification of topological superconductivity.

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“…Thus, the pursuit of alternatives to create triplet superconductivity lead to engineering a topological insulating chain (made with strong spin-orbit material) in proximity of a normal superconductor and in the presence of an applied magnetic field [4][5][6][7][8][9] . Another proposal for an effective one-dimensional model considered placing magnetic impurities on top of a conventional or triplet superconductor [10][11][12] increased the interest on the realization of an effective one-dimensional system with topological properties [13][14][15] . Additionally, triplet pairing has been found to be physically realizable in some systems.…”

Section: Introductionmentioning

confidence: 99%

4π Josephson currents in junctions of hybridized multiband superconductors

2017

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We study two-band one-dimensional superconducting chains of spinless fermions with inter and intra-band pairing. These bands hybridize and, depending on the relative angular momentum of their orbitals, the hybridization can be symmetric or anti-symmetric. The self-consistent competition between intra and inter-band superconductivity and how it is affected by the symmetry of the hybridization is investigated. In the case of anti-symmetric hybridization the intra and inter-band pairings do not coexist while in the symmetric case they do coexist and the interband pairing is shown to be dominant. The topological properties of the model are obtained through the topological invariant winding number and the presence of edge states. We find the existence of a topological phase due to the inter-band superconductivity and induced by symmetric hybridization. In this case we find a characteristic 4π-periodic Josephson current. In the case of anti-symmetric hybridization we also find a 4π-periodic Josephson current in the gapless inter-band superconducting phase, recently identified to be of Weyl-type.

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Topological Yu-Shiba-Rusinov chain from spin-orbit coupling

Cited by 132 publications

References 46 publications

Majorana zero modes and topological quantum computation

Majorana zero modes and topological quantum computation

Topological superconductivity and anti-Shiba states in disordered chains of magnetic adatoms

4π Josephson currents in junctions of hybridized multiband superconductors

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