Topological phases in nodeless tetragonal superconductors

Varona, Santiago; Ortíz, L.; Viyuela, Oscar; Martín-Delgado, M. A.

doi:10.1088/1361-648x/aadc71

Cited by 6 publications

(9 citation statements)

References 58 publications

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“…Introduction.-Majorana zero energy modes in topological superconductors and superfluids [1][2][3][4] have attracted great interests in past two decades because of their non-Abelian exchange statistics and potential applications in topological quantum computation [5,6]. A range of physical platforms [7][8][9][10][11][12][13][14][15][16][17][18] in both solid state and ultracold atomic systems have been proposed to host Majorana modes. In particular, remarkably experimental progress has been made recently to observe Majorana zero energy modes in s-wave superconductors in proximity contact with materials with strong spin-orbit coupling, such as semiconductor thin films and nanowires, topological insulators, etc.…”

mentioning

confidence: 99%

In-Plane Zeeman-Field-Induced Majorana Corner and Hinge Modes in an s -Wave Superconductor Heterostructure

Hou

et al. 2020

Phys. Rev. Lett.

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Second-order topological superconductors host Majorana corner and hinge modes in contrast to conventional edge and surface modes in two and three dimensions. However, the realization of such second-order corner modes usually demands unconventional superconducting pairing or complicated junctions/layered structures. Here we show that Majorana corner modes could be realized using a 2D quantum spin Hall insulator in proximity contact with an s-wave superconductor and subject to an in-plane Zeeman field. Beyond a critical value, the in-plane Zeeman field induces opposite effective Dirac masses between adjacent boundaries, leading to one Majorana mode at each corner. Similar paradigm also applies to 3D topological insulators with the emergence of Majorana hinge states. Avoiding complex superconductor pairing and material structure, our scheme provides an experimentally realistic platform for implementing Majorana corner and hinge states.

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mentioning

confidence: 99%

In-Plane Zeeman-Field-Induced Majorana Corner and Hinge Modes in an s -Wave Superconductor Heterostructure

Hou

et al. 2020

Phys. Rev. Lett.

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“…The intriguing properties of topological matter, especially superconductivity, have greatly motivated the ongoing search for such behavior in different material classes [1,2]. Among these searches, interest in two-dimensional (2D) materials has been intense [3].…”

Section: Introductionmentioning

confidence: 99%

“…The addition of superconducting correlations on a QAH system has been predicted to give rise to intriguing new properties and possible Majorana edge states which may be used as robust platforms in quantum computation [11]. The induced pairing correlations have naturally a direct impact on the appearance and specifics of these properties [2]. The symmetries of the resulting pairing channel are closely related to underlying lattice symmetries as well as to the mechanism mediating the interaction.…”

Section: Introductionmentioning

confidence: 99%

“…The classification of superconducting pairing symmetries residing on the honeycomb lattice has been discussed previously [2,4,7,17]. Although deciding which symmetry dominates remains somewhat controversial, an intriguing possibility of superconductivity induced onto proximitized graphene is the appearance of chiral pairing symmetries and their associated broken TRS.…”

Section: Introductionmentioning

confidence: 99%

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Inducing chiral superconductivity on honeycomb lattice systems

Alsharari¹,

Ulloa²

2022

J. Phys.: Condens. Matter

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Superconductivity in graphene-based systems has recently attracted much attention, as either intrinsic behavior or induced by proximity to a superconductor may lead to interesting topological phases and symmetries of the pairing function. A prominent system considers the pairing to have chiral symmetry. The question arises as to the eﬀect of possible spin-orbit coupling on the resulting superconducting quasiparticle spectrum. Utilizing a Bogolyubov-de Gennes (BdG) Hamiltonian, we explore the interplay of diﬀerent interaction terms in the system, and their role in generating complex Berry curvatures in the quasiparticle spectrum, as well as non-trivial topological behavior. We demonstrate that the topology of the BdG Hamiltonian in these systems may result in the appearance of edge states along the zigzag edges of nanoribbons in the appropriate regime. For suitable chemical potential and superconducting pairing strength, we find the appearance of robust midgap states at zigzag edges, well protected by large excitation gaps and momentum transfer.

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“…The addition of superconducting correlations on a QAH system has been predicted to give rise to intriguing new properties and possible Majorana edge states which may be used as robust platforms in quantum computation [11]. The induced pairing correlations have naturally a direct impact on the appearance and specifics of these properties [2]. The symmetries of the resulting pairing channel are closely related to underlying lattice symme- * aalsharari@ut.edu.sa tries as well as to the mechanism mediating the interaction.…”

Section: Introductionmentioning

confidence: 99%

Inducing chiral superconductivity on honeycomb lattice systems

Alsharari,

Ulloa

2021

Preprint

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Superconductivity in graphene-based systems has recently attracted much attention, as either intrinsic behavior or induced by proximity to a superconductor may lead to interesting topological phases and symmetries of the pairing function. A prominent system considers the pairing to have chiral symmetry. The question arises as to the effect of possible spin-orbit coupling on the resulting superconducting quasiparticle spectrum. Utilizing a Bogolyubov-de Gennes (BdG) Hamiltonian, we explore the interplay of different interaction terms in the system, and their role in generating complex Berry curvatures in the quasiparticle spectrum, as well as non-trivial topological behavior. We demonstrate that the topology of the BdG Hamiltonian in these systems may result in the appearance of edge states along the zigzag edges of nanoribbons in the appropriate regime.

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Topological phases in nodeless tetragonal superconductors

Cited by 6 publications

References 58 publications

In-Plane Zeeman-Field-Induced Majorana Corner and Hinge Modes in an s -Wave Superconductor Heterostructure

In-Plane Zeeman-Field-Induced Majorana Corner and Hinge Modes in an s -Wave Superconductor Heterostructure

Inducing chiral superconductivity on honeycomb lattice systems

Inducing chiral superconductivity on honeycomb lattice systems

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