42 citations · 282 across the 24 of their papers we have counts for
25 papers
Kitaev-Ising-- model: a density matrix renormalization group study
A. V. Kapranov, R. S. Akzyanov
We numerically study the Kitaev honeycomb model with the additional XX Ising interaction between the nearest and the next nearest neighbors (Kitaev-Ising-- model), by usi…
Simple model for the gap in the surface states of the antiferromagnetic topological insulator MnBiTe
R. S. Akzyanov, A. L. Rakhmanov
We study the influence of the antiferromagnetic order on the surface states of topological insulators. We derive an effective Hamiltonian for these states, taking into account the…
Magnetization control of the nematicity direction and nodal points in a superconducting doped topological insulator
D. A. Khokhlov, R. S. Akzyanov, A. V. Kapranov
We study the effects of magnetization on the properties of the doped topological insulator with nematic superconductivity. We found that the direction of the in-plane magnetization…
Born approximation study of the strong disorder in magnetized surface states of topological insulator
R. S. Akzyanov
In this study we investigate the effect of random point disorder on the surface states of a topological insulator with out-of-plane magnetization. We consider the disorder within a…
Interaction between spin and Abrikosov vortices in doped topological insulators
A. V. Kapranov, R. S. Akzyanov, A. L. Rakhmanov
In the topological superconductor with the nematic superconductivity in representation, it is possible to have different types of vortices. One is associated with the vortici…
Anomalous Josephson Hall effect in doped topological insulators with the nematic superconductivity
R. S. Akzyanov, A. L. Rakhmanov
We study the physics of the Josephson effect in nematic superconductors with odd parity in the Ginzburg-Landau approach. Two-component vector superconducting order parameter…
Pauli paramagnetism of triplet Cooper pairs in a nematic superconductor
D. A. Khokhlov, R. S. Akzyanov
We investigate the response of a doped topological insulator BiSe with spin-triplet nematic superconductivity to external magnetization. We calculate the Zeeman part of mag…
Lifshitz transition in dirty nematic superconductor
R. S. Akzyanov
We study the effects of the Lifshitz transition from closed to open Fermi surface in dirty topological insulators with the nematic superconductivity near the critical temperature.…
Breaking of Ginzburg-Landau description in the temperature dependence of the anisotropy in the nematic superconductor
M. I. Bannikov, R. S. Akzyanov, N. K. Zhurbina +5
Nematic superconductors are characterized by an apparent crystal symmetry breaking that results in the anisotropy of the in-plane upper critical magnetic field . The symmet…
Strain induced spin vortex and Majorana Kramer's pairs in doped topological insulators with nematic superconductivity
R. S. Akzyanov, A. L. Rakhmanov
Using Ginzburg-Landau approach we show that the strain of the nematic superconductor can generate a specific (nematic) vorticity. In the case of doped topological insulators that v…
Bulk spin conductivity of three-dimensional topological insulator
R. S. Akzyanov
We study the spin conductivity of the bulk states of three-dimensional topological insulators within Kubo formalism. Spin Hall effect is the generation of the spin current that is…
Quasiparticle interference in doped topological insulators with nematic superconductivity
D. A. Khokhlov, R. S. Akzyanov
We theoretically investigate quasiparticle interference in superconducting topological insulators with the nematic order parameter. This order parameter spontaneously breaks the ro…
Spontaneous strain and magnetization in doped topological insulators with nematic and chiral superconductivity
R. S. Akzyanov, A. V. Kapranov, A. L. Rakhmanov
We show that a spontaneous strain and spontaneous magnetization can arise in the doped topological insulators with a two-component superconducting vector order parameter. The detai…
Nematic superconductivity in topological insulators induced by hexagonal warping
R. S. Akzyanov, D. A. Khokhlov, A. L. Rakhmanov
We study superconducting properties of the bulk states of a doped topological insulator. We obtain that the hexagonal warping stabilizes the nematic spin-triplet superconducting ph…
Strain-driven nematicity of the odd-parity superconductivity in SrBiSe
A. Yu. Kuntsevich, M. A. Bryzgalov, V. P. Martovitskii +3
We present a novel experimental evidence for the odd-parity nematic superconductivity in high-quality single crystals of doped topological insulator SrBiSe. The X-ray d…
Thin film of a topological insulator as a spin Hall insulator
R. S. Akzyanov
We study spin conductivity of the surface states in a thin film of a topological insulator with Kubo formulas. Hybridization between the different sides of the film opens a gap at…
Bulk and surface spin conductivity in topological insulators with hexagonal warping
R. S. Akzyanov, A. L. Rakhmanov
We investigate the spin conductivity of topological insulators taking into account both the surface and quasi-two-dimensional bulk states. We apply a low-energy expansion of the Ha…
Surface charge conductivity of topological insulator in a magnetic field: effect of hexagonal warping
R. S. Akzyanov, A. L. Rakhmanov
We investigate the influence of the hexagonal warping on the transport properties of the topological insulators. We study the charge conductivity within Kubo formalism in the first…
Majorana fermion from Landau quantization in 2D topological superconductors
R. S. Akzyanov, A. L. Rakhmanov, A. V. Rozhkov +1
We study the generation of Majorana fermions in a two-dimensional topological superconductor placed in a transverse magnetic field B. A topological insulator/superconductor heteros…
Topological phase transition induced by Zeeman field in topological insulator/superconductor heterostructure
R. S. Akzyanov, A. D. Zabolotskiy
We investigate a topological insulator -- superconductor heterostructure with an Abrikosov vortex in a magnetic field. Large Zeeman field causes a topological phase transition in t…
Decoherence of Majorana qubits caused by particle-hole conjugation asymmetry
R. S. Akzyanov
We investigate effects of the particle-hole asymmetry on the properties of Majorana qubtis. Particle-hole asymmetric pertrubation shifts Majorana zero mode from zero-energy. This t…
Majorana fermions at the edge of superconducting islands
R. S. Akzyanov, A. L. Rakhmanov, A. V. Rozhkov +1
We investigate the properties of electron states localized at the edge of a superconducting island placed on the surface of a topological insulator in a magnetic field. In such sys…
Generation of localized magnetic moments in the charge-density-wave state
R. S. Akzyanov, A. V. Rozhkov
We propose a mechanism explaining the generation of localized magnetic moments in charge-density-wave compounds. Our model Hamiltonian describes an Anderson impurity placed in a ho…
AA-stacked bilayer graphene in an applied electric field: Tunable antiferromagnetism and coexisting exciton order parameter
R. S. Akzyanov, A. O. Sboychakov, A. V. Rozhkov +2
We study the electronic properties of AA-stacked bilayer graphene in a transverse electric field. The strong on-site Coulomb repulsion stabilizes the antiferromagnetic order in suc…