Coexistence of the chiral superconductivity and noncollinear magnetic order in the ensemble of Hubbard fermions on a triangular lattice

Вальков, В. В.; Zlotnikov, A. O.

doi:10.1134/s0021364016190127

Cited by 14 publications

(6 citation statements)

References 19 publications

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“…2a Additionally, a comparison of the ε 1,2 (µ) and n (µ) dependences implies that the topological transitions are characterized by the peculiarities of the ∂ n /∂µ behavior. Similar features were observed in the Kitaev chain model [54] and in the model of an electron ensemble on a triangular lattice in the phase of coexistence of superconductivity and magnetism [55]. We also note that the analysis of the ∂ n /∂µ singularities at V = 0 allows one to reconstruct the topological phase diagram of the system obtained in [41].…”

Section: Resultssupporting

confidence: 78%

Effect of strong intersite Coulomb interaction on the topological properties of a superconducting nanowire

Шустин¹,

Aksenov²

2021

Preprint

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For superconducting nanowire with the pairing of extended s-type symmetry, Rashba spin-orbit interaction in a magnetic field, the influence of strong intersite charge correlations on single-particle Majorana excitations is analyzed. This problem is investigated on the basis of the density matrix renormalization group numerical method. It is shown that with an increase in the repulsion intensity of electrons located at the neighboring sites, two subbands emerge in the lower Hubbard band of the open system. Based on calculations of the Majorana polarization and degeneracy of the entanglement spectrum, it was found that a topologically nontrivial phase with one edge state survives at the edge of each of the subbands where the concentration of electrons or holes is minimal.

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Section: Resultssupporting

confidence: 78%

Effect of strong intersite Coulomb interaction on the topological properties of a superconducting nanowire

Шустин¹,

Aksenov²

2021

Preprint

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“…From Eq. (16) we conclude that the Majorana modes exist in the phases with odd N 3 . The transition to such phases is accompanied by the closing the gap in the bulk spectrum in an odd number of points in the Brillouin zone.…”

Section: The Topological Invariant N 3 Of a 2d Lattice And Its Connecsupporting

confidence: 52%

“…This assumption allows us to study the topological phases of the system in the relatively simple manner. However, it should be noted that the coexistence phase is caused not only by the proximity effect but also as a consequence of the internal electron interactions [16].…”

Section: Model and Methodsmentioning

confidence: 99%

“…In [16] on the basis of the self-consistent integral equations in the coexistence phase for the t − J − V model it has been shown that in the presence of stripe magnetic ordering the superconducting order parameter does not have the chiral structure. Thus, the conditions for the realizations of the Majorana zero modes on the triangular lattice have been analyzed for the coexistence phase of chiral superconductivity and 120 • magnetic ordering [17].…”

Section: Introductionmentioning

confidence: 99%

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The nontrivial ground state topology in the coexistence phase of chiral d-wave superconductivity and 120-degree magnetic order on a triangular lattice

Вальков

Zlotnikov

Шустин

2018

Journal of Magnetism and Magnetic Materials

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The Z 2 topological invariant is defined in the chiral d-wave superconductor having a triangular lattice in the presence of the 120 degrees magnetic ordering. By analyzing the Z 2 invariant, we determine the conditions of implementing nontrivial phases in the model with regard to superconducting pairings between nearest and next nearest neighbors. It is often supposed in such system that the pairing parameter between nearest neighbors should be equal to zero due to influence of the intersite Coulomb interaction. We show that taking into account even weak pairings in the first coordination sphere leads to the disappearance of the gapless excitations of the bulk spectrum in the wide region of the parameter space. Thus topological invariants can be defined in such region. Solving the problem of open edges it is shown that the zero energy modes are realized basically in the topologically nontrivial phases. Such zero modes are topologically protected Majorana modes. A connection between the Z 2 invariant calculated at the symmetric points of the Brillouin zone with respect to the electron-hole symmetry and the integer topological invariant of the ground state of the 2D lattice expressed in terms of the Green functions is established in the presence of noncollinear magnetic ordering.

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“…It can be seen from expression (18) for the triplet pairing terms that in the case of the ferromagnetic ordering with Q = 0 the effective triplet superconductivity induced from the spin-singlet channel, which is described by the second term in (18), is not realized since t − k = 0. Moreover, it is known that superconductivity is strongly destroyed by ferromagnetism while for antiferromagnetic and spiral structures it is only suppressed (see [108,[110][111][112][113][114][115][116][117][118][119][120][121][122][123][124][125][126] and references therein).…”

Section: D Casementioning

confidence: 99%

Aspects of topological superconductivity in 2D systems: noncollinear magnetism, skyrmions, and higher-order topology

Zlotnikov,

Shustin,

Fedoseev

2021

Preprint

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The review is aimed at highlighting the aspects of topological superconductivity in the absence of spin-orbit interaction in two-dimensional systems with long-range non-collinear spin ordering or magnetic skyrmions. Another purpose is to give a brief introduction to the new concept of topological superconductivity, i.e. higher-order topology in two-dimensional systems including spin-orbit coupled structures. The formation of Majorana modes due to magnetic textures is discussed. The role of effective triplet pairings and odd fermion parity of the ground state wave function in different systems is emphasized. We describe the peculiarities of the magnetic skyrmions, leading to the formation of the Majorana modes and defects on which the modes are localized. The problem of braiding in the two-dimensional systems, especially in higher-order topological superconductors, is considered.

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Coexistence of the chiral superconductivity and noncollinear magnetic order in the ensemble of Hubbard fermions on a triangular lattice

Cited by 14 publications

References 19 publications

Effect of strong intersite Coulomb interaction on the topological properties of a superconducting nanowire

Effect of strong intersite Coulomb interaction on the topological properties of a superconducting nanowire

The nontrivial ground state topology in the coexistence phase of chiral d-wave superconductivity and 120-degree magnetic order on a triangular lattice

Aspects of topological superconductivity in 2D systems: noncollinear magnetism, skyrmions, and higher-order topology

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