activity
20152025
most citedStrong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI

41 citations · 148 across the 10 of their papers we have counts for

collaborators

10 papers

cond-mat.str-el2025★ 6 cited

Quantum Effects at a Spin-Flop Transition in the Antiferromagnetic Topological Insulator MnBiTe

V. V. Val'kov, A. O. Zlotnikov, A. Gamov +2

It is shown that the experimentally detected features in the low-temperature behavior of the magnetization in an external magnetic field perpendicular to the layers of manganese io…

cond-mat.supr-con2024★ 2 cited

Coexistence of gapless and gapped vortex modes with Majorana corner states in a 2D second-order topological superconductor

A. D. Fedoseev, A. O. Zlotnikov

Although the appearance of vortex-localized states with zero energy in first-order topological superconductors is well known, their possibility to form in the higher-order topologi…

cond-mat.mes-hall2022★ 8 cited

Effect of local Coulomb interaction on Majorana corner modes: weak and strong correlation limits

S. V. Aksenov, A. D. Fedoseev, M. S. Shustin +1

Here we present an analysis of the evolution of Majorana corner modes realizing in a higher-order topological superconductor (HOTSC) on a square lattice under the influence of loca…

cond-mat.mes-hall2022★ 33 cited

Topological superconductivity and Majorana states in low-dimensional systems

V. V. Val'kov, M. S. Shustin, S. V. Aksenov +4

We discuss the properties of topologically nontrivial superconducting phases and the conditions for their realization in condensed matter, and the principles for identifying Majora…

cond-mat.supr-con2022★ 4 cited

Majorana vortex modes in spin-singlet chiral superconductors with noncollinear spin ordering: Local density of states study

A. O. Zlotnikov

In the present study topologically nontrivial edge and vortex bound states are described in the coexistence phase of chiral spin-singlet superconductivity and noncollinear spin ord…

cond-mat.supr-con2021★ 30 cited

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

A. O. Zlotnikov, M. S. Shustin, A. D. Fedoseev

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 s…

cond-mat.mes-hall2019★ 41 cited

Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI

S. V. Aksenov, A. O. Zlotnikov, M. S. Shustin

In this study, the problem of strong Coulomb interactions in topological superconducting wire is analyzed by means of the density-matrix-renormalization-group (DMRG) approach. To a…

cond-mat.supr-con2019★ 11 cited

Stability of the coexistence phase of chiral superconductivity and noncollinear spin ordering with a nontrivial topology and strong electron correlations

Valery V. Val'kov, Anton O. Zlotnikov

We show that the quantum charge and spin fluctuations, while sufficiently renormalizing the magnetic order parameter, do not destroy the coexistence phase of chiral d+id supercondu…

cond-mat.supr-con2017★ 13 cited

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

Valery V. Val'kov, Anton O. Zlotnikov, Maxim S. Shustin

The Z2 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 Z2 in…

cond-mat.str-el2015

The influence of spin and charge fluctuations on the pressure dependence of the Neel temperature near a quantum phase transition in rare-earth intermetallic compounds

Valery V. Val'kov, Anton O. Zlotnikov

In the one-loop approximation for the periodic Anderson model the contributions of spin and charge fluctuations to the renormalization of the antiferromagnetic order parameter are…