Magnetic chains on a triplet superconductor

Sacramento, P. D.

doi:10.1088/0953-8984/27/44/445702

Cited by 11 publications

(8 citation statements)

References 63 publications

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“…Adding spin-orbit interaction and a magnetic field either through its Zeeman effect or due to the presence of vortices, a great variety of topological phases are predicted [61]. Since both a triplet superconductor and a magnetic chain induce topological states, one may explore the combined effect of the two by considering a set of magnetic impurities on top of a triplet superconductor [41,62]. It is also shown here that the topology may be changed by adding magnetic impurities, distributed randomly [63].…”

Section: Introductionmentioning

confidence: 84%

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Static and Dynamic Disorder in Topological Systems: Localized, Critical and Extended States

2019

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Topological properties may be induced or changed by the action of disorder. We investigate two examples of this scenario: in the first, by showing that either trivial or topological two-dimensional superconductors, as a result of a static random distribution of magnetic impurities, display topological phases. The second one involves using timedependent perturbations, which also have the general effect of inducing topology and, under appropriate conditions, the appearance of topological properties is shown. In this case, we consider the effect on the topology of onedimensional systems, of time periodic or aperiodic perturbations consisting of kicks of spatially non-homogeneous potentials. One finds different regimes characterized by localized, critical, or extended non-equilibrium states, as a result of the time dependent perturbation. We further carry out the existence and characterization of the topological edge states that occur both in the case of a static and dynamic perturbations. In the case of the static disorder, the topological phases are characterized calculating the real space Chern number and various regimes for the low energy density of states are identified and explained in the context of general properties of the symmetry classes D and C. In the case of a time periodic perturbation (the Floquet regime) we contrast the dynamical localization, and its properties, when using kicks either in the quasiperiodic spatially inhomogeneous potentials of the Aubry-André type or in the case of kicks on the pairing amplitude in the presence of static Aubry-André quasi-disorder. In both, we make use of lattice sizes drawn from the Fibonacci sequence. We also show that aperiodicity in the sequence of time perturbations leads in general to delocalization, a regime characterized by a fully random matrix Hamiltonian with the appropriate symmetry.

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Section: Introductionmentioning

confidence: 84%

“…Introducing disorder will break this invariance. Imposing twisted boundary conditions we may generalize the definition of the Chern number considering a circulation over the boundary conditions instead of over the edges of the Brilloun zone [26,62,75,76]. In Fig.…”

Section: Effects Of Disorder In Z Class Superconductorsmentioning

confidence: 99%

Static and Dynamic Disorder in Topological Systems: Localized, Critical and Extended States

2019

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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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“…As one of the simplest 1D topologically nontrivial models, the Kitaev's p-wave superconductor model 15 has been widely studied since its discovery, and is an ideal example to illustrate the topological properties of 1D systems [13][14][15][16][17][18][19][20][21] . In this paper, we examine the symmetry-protected quantized Berry phase of 1D BdG classes, and define the Berry phase for the phase transition points in the 2D parameter space of momentum and the transition driving parameter.…”

Section: Introductionmentioning

confidence: 99%

Topological invariants for phase transition points of one-dimensional Z2 topological systems

Yang

Chen

2016

Eur. Phys. J. B

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We study topological properties of phase transition points of two topologically non-trivial Z 2 classes (D and DIII) in one dimension by assigning a Berry phase defined on closed circles around the gap closing points in the parameter space of momentum and a transition driving parameter. While the topological property of the Z 2 system is generally characterized by a Z 2 topological invariant, we identify that it has a correspondence to the quantized Berry phase protected by the particle-hole symmetry, and then give a proper definition of Berry phase to the phase transition point. By applying our scheme to some specific models of class D and DIII, we demonstrate that the topological phase transition can be well characterized by the Berry phase of the transition point, which reflects the change of Berry phases of topologically different phases across the phase transition point.

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Magnetic chains on a triplet superconductor

Cited by 11 publications

References 63 publications

Static and Dynamic Disorder in Topological Systems: Localized, Critical and Extended States

Static and Dynamic Disorder in Topological Systems: Localized, Critical and Extended States

4π Josephson currents in junctions of hybridized multiband superconductors

Topological invariants for phase transition points of one-dimensional Z2 topological systems

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