Characterizing<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-wave superconductivity using the spin structure of Shiba states

Kaladzhyan, Vardan; Bena, Cristina; Simon, Pascal

doi:10.1103/physrevb.93.214514

Cited by 38 publications

(48 citation statements)

References 31 publications

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“…Due to broken in-plane reflection symmetry in the quasi-two-dimensional plane, but conserved out-of-plane mirror symmetry, the spin-orbit coupling favors a spin alignment normal to the monolayer for electrons at the Fermi surface in K valleys, which leads to robust superconductivity to in-plane magnetic fields. This is different from most cases studied before [33][34][35][36][37] where spin-orbit coupling is Rashba type, which favors in-plane orientation of spins. For the latter, the depairing effect of in-plane magnetic fields is large, rendering problematic the manipulation of MBS with magnetic fields.…”

Section: Introductioncontrasting

confidence: 83%

“…[25][26][27][28][29][30][31][32] Alternatively, the superconductors have a strong spin-orbit coupling, which allows ferro-and antiferromagnetic chains of impurities to exhibit MBS at the edges. [33][34][35][36][37] In this second scenario, the inversion symmetry is broken in the superconductor and the order parameter becomes a mixture of singlet and triplet pairing, [38][39][40][41] with the latter essential to generate effective p-wave superconductivity in the chains. Since the helical configuration of impurity spins proved harder to stabi- lize in experiments, the first detection of MBS from YSR states has followed the second avenue by employing chains of Fe atoms deposited on superconducting Pb.…”

Section: Introductionmentioning

confidence: 99%

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Topological superconductivity from magnetic impurities on monolayer NbSe2

Sticlet

Morari

2019

Phys. Rev. B

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Recent experimental studies have found that magnetic impurities deposited on superconducting monolayer NbSe2 generate coupled Yu-Shiba-Rusinov bound states. Here we consider ferromagnetic chains of impurities which induce a Yu-Shiba-Rusinov band and harbor Majorana bound states at the chain edges. We show that these topological phases are stabilized by strong Ising spin-orbit coupling in the monolayer and examine the conditions under which Majorana phases appear as a function of distance between impurities, impurity spin projection, orientation of chains on the surface of the monolayer, and strength of magnetic exchange energy between impurity and superconductor. arXiv:1906.01922v3 [cond-mat.mes-hall] 15 Aug 2019 * doru.sticlet@itim-cj.ro 1 A. Y. Kitaev, Phys. Usp. 44, 131 (2001).

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Section: Introductioncontrasting

confidence: 83%

Section: Introductionmentioning

confidence: 99%

Topological superconductivity from magnetic impurities on monolayer NbSe2

Sticlet

Morari

2019

Phys. Rev. B

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“…The total Hamiltonian consists of the sum H = H (bulk) + H (imp) . Each potential impurity atom binds a single physical subgap state [42][43][44], which in the BdG formalism is represented by a pair of states at energies ε = ± where v F is the Fermi velocity and ν the density of states in the bulk [45].…”

mentioning

confidence: 99%

“…In this case potential-impurity-induced bound states exist [42] and phase winding is inherited to the effective low-energy model. Such (s + p)-wave structure is satisfied in the artificial chiral superconductor realized in 2D Rashbacoupled semiconductors sandwiched by an s-wave superconductor and a ferromagnetic insulator [47] at sufficiently strong magnetization.…”

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confidence: 99%

Topological state engineering by potential impurities on chiral superconductors

et al. 2016

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In this work we consider the influence of potential impurities deposited on top of two-dimensional chiral superconductors. As discovered recently, magnetic impurity lattices on an s-wave superconductor may give rise to a rich topological phase diagram. We show that a similar mechanism takes place in chiral superconductors decorated by nonmagnetic impurities, thus avoiding the delicate issue of magnetic ordering of adatoms. We illustrate the method by presenting the theory of potential impurity lattices embedded on chiral p-wave superconductors. While a prerequisite for the topological state engineering is a chiral superconductor, the proposed procedure results in vistas of nontrivial descendant phases with different Chern numbers. DOI: 10.1103/PhysRevB.94.060505 Introduction. Engineering novel quantum phases of matter with exotic properties is a rapidly growing trend in contemporary physics. The main goal is to employ simpler and wellunderstood ingredients and methods to create more complex structures with desirable properties. Recent promising efforts to realize [1][2][3] topological superconductivity in nanowire systems [4,5] demonstrate the power of the approach. While it seems unlikely that Nature directly provides us with Majorana quasiparticles that could be employed in quantum information applications [6], it is increasingly probable that those can be achieved in the laboratory. In the spirit of engineering novel controllable states of matter, we show how to realize a complex hierarchy of topological phases with potential impurity superstructures adsorbed on chiral superconductors. Magnetic atoms on s-wave superconductors give rise to Yu-Shiba-Rusinov subgap states [7][8][9][10] which have been probed experimentally by scanning tunneling microscopy (STM) [11][12][13][14]. Superstructures fabricated from magnetic atoms are currently under active experimental [15][16][17] and theoretical research [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]. Intriguing properties of these systems include the possibility for various one-dimensional (1D) topological superconducting phases with Majorana bound states and rich two-dimensional (2D) topological phases [34][35][36][37]. A topologically nontrivial phase is known to arise in 1D ferromagnetic arrays when the underlying superconductor has a strong Rasha spin-orbit coupling or in arrays with helical magnetic textures. In 1D structures there are theoretical arguments why magnetic self-tuning could result in a nontrivial ground state [20][21][22]28,32,38], though in real systems there are a number of complications. In particular, in 2D structures the nature and tunability of magnetic textures is a delicate and largely unsolved question.Very recently it was proposed that potential impurities could be utilized to realize interesting topological states in 1D structures [39] and 2D toy models [40]. The procedure requires a non-s-wave superconductor host material with chiral or helical pairing components but circumvents the need for specific magnetic tex...

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“…, and the Bogliubov-de Gennes formalism of the Hamiltonian without disorder, see equations (12)- (14) for detailed expressions, one can find that, the SP LDOS can be written as follows after some straightforward derivation [52][53][54],…”

Section: Model Hamiltonian and Sp Ldosmentioning

confidence: 99%

Learning pairing symmetries in disordered superconductors using spin-polarized local density of states

et al. 2020

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We construct an artificial neural network to study the pairing symmetries in disordered superconductors. For Hamiltonians on square lattice with s-wave, d-wave, and nematic pairing potentials, we use the spin-polarized local density of states near a magnetic impurity in the clean system to train the neural network. We find that, when the depth of the artificial neural network is sufficient large, it will have the power to predict the pairing symmetries in disordered superconductors. In a large parameter regime of the potential disorder, the artificial neural network predicts the correct pairing symmetries with relatively high confidences.

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Characterizingp-wave superconductivity using the spin structure of Shiba states

Cited by 38 publications

References 31 publications

Topological superconductivity from magnetic impurities on monolayer NbSe2

Topological superconductivity from magnetic impurities on monolayer NbSe2

Topological state engineering by potential impurities on chiral superconductors

Learning pairing symmetries in disordered superconductors using spin-polarized local density of states

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