Yu-Shiba-Rusinov states of impurities in a triangular lattice of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>NbSe</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>with spin-orbit coupling

Ptok, Andrzej; Głodzik, Szczepan; Domański, T.

doi:10.1103/physrevb.96.184425

Cited by 31 publications

(25 citation statements)

References 77 publications

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“…impurity sites). In the scenario with one impurity the C 6 symmetry of the triangular lattice is "inherited" by the bound states and the star-like shapes are obseved [23,24]. Here, this symmetry is broken due to the interference of YSR bound states induced by separated impurities.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Bound States Induced by the Ferromagnetic Dimer in a Triangular Lattice

lodzik

Ptok

2019

Acta Phys. Pol. A

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The ongoing efforts aiming at control and manipulation of novel topological phases renewed the interest in bound states induced in superconducting substrates by magnetic impurities. First described by Yu, Shiba and Rusinov, those bound states are spin-polarized and exhibit a rather large spatial extent in two dimensional (2D) materials. Here, using the Bogoliubov-de Gennes formalism, we study the Yu-Shiba-Rusinov bound states induced by a ferromagnetic dimer in 2D triangular lattice. We describe various topographies of the in-gap bound states, depending on the coupling between impurities and superconducting host. *

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Bound States Induced by the Ferromagnetic Dimer in a Triangular Lattice

lodzik

Ptok

2019

Acta Phys. Pol. A

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“…Their shape in real space reflects the symmetry of the underlying lattice, and can extend far away from the impurity depending on the dimensionality of the substrate and other factors like e.g. spin-orbit interaction [33,37]. In the case of a collection of impurities, a Shiba band forms which can undergo a topological phase transition in the deep-dilute limit.…”

Section: Nodal Phase On Magnetic Islandsmentioning

confidence: 99%

Engineering nodal topological phases in Ising superconductors by magnetic superstructures

Głodzik

Ojanen

2020

New J. Phys.

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Recently it was discovered that superconductivity in transition metal dichalcogenides (TMDs) is strongly affected by an out-of-plane spin-orbit coupling. In addition, new techniques of fabricating 2d ferromagnets on van der Waals materials are rapidly emerging. Combining these breakthroughs, we propose a realization of nodal topological superconductivity in TMDs by fabricating nanostructured ferromagnets with an in-plane magnetization on the top surface. The proposed procedure does not require application of external magnetic fields and applies to monolayer and multilayer (bulk) systems. The signatures of the topological phase include Majorana flat bandsthat can be directly observed by scanning tunneling microscopy techniques. We concentrate on NbSe 2 and argue that the proposed structures demonstrating the nodal topological phase can be realized within existing technology.

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“…Apart from the above systems, one should mention ultracold fermionic gases or the condensed matter systems [65]. Here, the impurities [66][67][68] or vortices [69][70][71] play the role of inhomogeneity. It is worth mentioning the superconducting systems with spin-density (SDW) or charge-density (CDW) waves coexistence [72][73][74][75].…”

Section: Non-homogeneous Systemsmentioning

confidence: 99%

Superfluidity of fermionic pairs in a harmonic trap. Comparative studies: Local Density Approximation and Bogoliubov-de Gennes solutions

Cichy¹,

Ptok²

2020

J. Phys. Commun.

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Experiments with ultracold gases on the lattice give the opportunity to realize superfluid fermionic mixtures in a trapping potential. The external trap modifies the chemical potential locally. Moreover, this trap also introduces non-homogeneity in the superconducting order parameter. There are, among other approaches, two methods which can be used to describe the system of two-component mixtures loaded into an optical lattice: the Local Density Approximation (LDA) and the self-consistent Bogoliubov-de Gennes equations. Here, we compare results obtained within these two methods. We conclude that the results can be distinguishable only in the case of a small value of the pairing interaction.Recent progress in experimental techniques in ultracold quantum gases gives ground to believe that they are good candidates for realization of quantum simulators [1][2][3][4][5]. This progress gives the opportunity to study different types of quantum models, well established already in many-body physics [5][6][7].Parameters such as the depth of the periodic trapping potential or the lattice geometry can be tuned with a high level of control in experiments. Moreover, the interaction strengths can also be fully controlled via so-called Feshbach resonances [8], giving the possibility of realization of repulsively and attractively interacting systems [9]. The latter allows for an experimental study of superfluid states [10][11][12].Typically, a system of ultracold atoms is located in an external potential, for instance in a harmonic trap. This potential introduces some effective site-dependent chemical potential and non-homogeneous distribution of the particles in the system. As a consequence, non-uniform superconducting order parameter is expected. The system can be studied theoretically via several methods. In this paper, we compare the results obtained within the Local Density Approximation (LDA) and the self-consistent Bogoliubov-de Gennes (BdG) equations, for a system of an ultracold attractive fermionic gas loaded into a one-dimensional (1D) optical lattice, put in a harmonic trap.The paper is organized as follows: first, we shortly introduce the model as well as the above mentioned methods (section 2). In section 3, we present and discuss numerical results. Finally, we summarize in section 4. Model and techniquesWe investigate a fermionic gas loaded onto a one-dimensional lattice, in a harmonic trap, which is schematically illustrated in figure 1. The system under consideration can be described by the Hamiltonian

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Yu-Shiba-Rusinov states of impurities in a triangular lattice ofNbSe2with spin-orbit coupling

Cited by 31 publications

References 77 publications

Bound States Induced by the Ferromagnetic Dimer in a Triangular Lattice

Bound States Induced by the Ferromagnetic Dimer in a Triangular Lattice

Engineering nodal topological phases in Ising superconductors by magnetic superstructures

Superfluidity of fermionic pairs in a harmonic trap. Comparative studies: Local Density Approximation and Bogoliubov-de Gennes solutions

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