Pavel M. Ostrovsky
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Research Interests
Pavel M. Ostrovsky has a total of 88 co-authors. Here are the top co-authors by number of shared publications:
I. V. Gornyi
Institut für Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany
22 shared publications- Alexander D. Mirlin
Karlsruhe Institute of Technology
21 shared publications - Mikhail A. Skvortsov
L. D. Landau Institute for Theoretical Physics
12 shared publications - Mikhail Titov
Radboud University
11 shared publications - Dmitri A. Ivanov
Institute for Theoretical Physics, ETH Zurich, 8093 Zurich, Switzerland
5 shared publications E. Khalaf
Max Planck Institute for Solid State Research, 70569, Stuttgart, Germany
5 shared publications
Latest Publications
- Open Access
- 23 July 2026
- Published by Stichting SciPost in SciPost Physics
- Vol. 21 (1)
Density of scattering resonances in a disordered system
Reflection of particles from a disordered or chaotic medium is characterized by a scattering matrix that can be represented as a superposition of resonances. Each resonance corresponds to an eigenstate inside the medium and has a width related to the decay time of this eigenstate. We develop a general approach to study the distribution function of these resonance widths based on the nonlinear sigma model. We derive an integral representation of the distribution function that works equally well for systems of any symmetry and for any type of coupling to the measuring device. From this integral representation we find explicit analytic expressions for the distribution function in the case of disordered metallic grains. We also compare the analytic results to large-scale numerical simulations and observe their perfect agreement.
- 23 July 2026
- Published by Stichting SciPost in SciPost Physics
- Vol. 21 (1)
Open AccessDensity of scattering resonances in a disordered system
Reflection of particles from a disordered or chaotic medium is characterized by a scattering matrix that can be represented as a superposition of resonances. Each resonance corresponds to an eigenstate inside the medium and has a width related to the decay time of this eigenstate. We develop a general approach to study the distribution function of these resonance widths based on the nonlinear sigma model. We derive an integral representation of the distribution function that works equally well for systems of any symmetry and for any type of coupling to the measuring device. From this integral representation we find explicit analytic expressions for the distribution function in the case of disordered metallic grains. We also compare the analytic results to large-scale numerical simulations and observe their perfect agreement.
- Open Access
- 17 July 2025
- Published by Stichting SciPost in SciPost Physics
- Vol. 19 (1) , 021
Josephson effect in strongly disordered metallic wires
We study localization effects in Josephson junctions with two superconductors connected by a strongly disordered metallic wire of length L . The conventional description of the Josephson effect in such systems, based on the quasiclassical Usadel equation, neglects electron interference and is only applicable when L is shorter than the localization length \xi in the wire. We develop a more general theory for the Josephson effect using the non-linear sigma model that fully accounts for electron interference, and hence localization. We show that for L \gg \xi , three qualitatively different regimes of the Josephson current arise depending on the ratio of the superconducting order parameter \Delta and the mean level spacing in the localization volume \Delta_\xi . We derive the average supercurrent as a function of the phase difference for all three regimes. Quite unexpectedly, we observe that the Ambegaokar-Baratoff relation between the average critical current and the normal-state conductance still holds in the strongly localized state when \Delta_\xi \gg \Delta and \xi \ll L \ll (\xi/\pi^2) \ln^2(\Delta_\xi/\Delta) .- 17 July 2025
- Published by Stichting SciPost in SciPost Physics
- Vol. 19 (1) , 021
Open AccessJosephson effect in strongly disordered metallic wires
We study localization effects in Josephson junctions with two superconductors connected by a strongly disordered metallic wire of length L . The conventional description of the Josephson effect in such systems, based on the quasiclassical Usadel equation, neglects electron interference and is only applicable when L is shorter than the localization length \xi in the wire. We develop a more general theory for the Josephson effect using the non-linear sigma model that fully accounts for electron interference, and hence localization. We show that for L \gg \xi , three qualitatively different regimes of the Josephson current arise depending on the ratio of the superconducting order parameter \Delta and the mean level spacing in the localization volume \Delta_\xi . We derive the average supercurrent as a function of the phase difference for all three regimes. Quite unexpectedly, we observe that the Ambegaokar-Baratoff relation between the average critical current and the normal-state conductance still holds in the strongly localized state when \Delta_\xi \gg \Delta and \xi \ll L \ll (\xi/\pi^2) \ln^2(\Delta_\xi/\Delta) . - Open Access
- 27 May 2025
- Published by American Physical Society (APS) in Physical Review B
- Vol. 111 (17)
Current flow in topological insulator Josephson junctions due to imperfections
Recent experiments on planar superconductor-topological insulator-superconductor (S-TI-S) junctions, e.g., in the Corbino geometry, have reported low-temperature nonzero Josephson currents in states with integer fluxoid (flux) induced in the junction by a perpendicular magnetic field. This effect was discussed in connection with Majorana zero modes localized in Josephson vortices of such junctions. Here, we provide an explanation for this phenomenon, attributing it to imperfections. We focus on the “atomic” limit in which the low-energy bound states of different vortices do not overlap. In this limit, we can associate the nonvanishing critical current with the irregularities, e.g., in the junction's width. The low-temperature contribution to the current is provided by the bound states with low but nonzero energy. We also propose clear experimental tests based on microwave spectroscopy, revealing distinctive selection rules for vortex transitions. Published by the American Physical Society 2025
- 27 May 2025
- Published by American Physical Society (APS) in Physical Review B
- Vol. 111 (17)
Open AccessCurrent flow in topological insulator Josephson junctions due to imperfections
Recent experiments on planar superconductor-topological insulator-superconductor (S-TI-S) junctions, e.g., in the Corbino geometry, have reported low-temperature nonzero Josephson currents in states with integer fluxoid (flux) induced in the junction by a perpendicular magnetic field. This effect was discussed in connection with Majorana zero modes localized in Josephson vortices of such junctions. Here, we provide an explanation for this phenomenon, attributing it to imperfections. We focus on the “atomic” limit in which the low-energy bound states of different vortices do not overlap. In this limit, we can associate the nonvanishing critical current with the irregularities, e.g., in the junction's width. The low-temperature contribution to the current is provided by the bound states with low but nonzero energy. We also propose clear experimental tests based on microwave spectroscopy, revealing distinctive selection rules for vortex transitions. Published by the American Physical Society 2025
- 7 December 2023
- Published by American Physical Society (APS) in Physical Review B
- Vol. 108 (21) , 214201
Electron transport in a weakly disordered Weyl semimetal
Weyl semimetal is a solid material with isolated touching points between conduction and valence bands in its Brillouin zone—Weyl points. Low-energy excitations near these points exhibit a linear dispersion and act as relativistic massless particles. Weyl points are stable topological objects robust with respect to most perturbations. We study effects of weak disorder on the spectral and transport properties of Weyl semimetals in the limit of low energies. We use a model of Gaussian white-noise potential and apply dimensional regularization scheme near three dimensions to treat divergent terms in the perturbation theory. In the framework of self-consistent Born approximation, we find closed expressions for the average density of states and conductivity. Both quantities are analytic functions in the limit of zero energy. We also include interference terms beyond the self-consistent Born approximation up to the third order in the disorder strength. These interference corrections are stronger than the mean-field result and nonanalytic as functions of energy. Our main result is the dependence of conductivity (in units ) on the electron concentration .- 7 December 2023
- Published by American Physical Society (APS) in Physical Review B
- Vol. 108 (21) , 214201
Electron transport in a weakly disordered Weyl semimetal
Weyl semimetal is a solid material with isolated touching points between conduction and valence bands in its Brillouin zone—Weyl points. Low-energy excitations near these points exhibit a linear dispersion and act as relativistic massless particles. Weyl points are stable topological objects robust with respect to most perturbations. We study effects of weak disorder on the spectral and transport properties of Weyl semimetals in the limit of low energies. We use a model of Gaussian white-noise potential and apply dimensional regularization scheme near three dimensions to treat divergent terms in the perturbation theory. In the framework of self-consistent Born approximation, we find closed expressions for the average density of states and conductivity. Both quantities are analytic functions in the limit of zero energy. We also include interference terms beyond the self-consistent Born approximation up to the third order in the disorder strength. These interference corrections are stronger than the mean-field result and nonanalytic as functions of energy. Our main result is the dependence of conductivity (in units ) on the electron concentration .- 26 June 2020
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 124 (25) , 259902
Publisher’s Note: Anomalous Hall Effect in a 2D Rashba Ferromagnet [Phys. Rev. Lett. 117 , 046601 (2016)]
DOI: https://doi.org/10.1103/PhysRevLett.124.259902
- 26 June 2020
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 124 (25) , 259902
Publisher’s Note: Anomalous Hall Effect in a 2D Rashba Ferromagnet [Phys. Rev. Lett. 117 , 046601 (2016)]
DOI: https://doi.org/10.1103/PhysRevLett.124.259902
- Open Access
- 3 June 2020
- Published by American Physical Society (APS) in Physical Review B
- Vol. 101 (23) , 235116
Band dispersion of graphene with structural defects
We study the band dispersion of graphene with randomly distributed structural defects using two complementary methods, exact diagonalization of the tight-binding Hamiltonian and implementing a self-consistent matrix approximation. We identify three distinct types of impurities resulting in qualitatively different spectra in the vicinity of the Dirac point. First, resonant impurities, such as vacancies or 585 defects, lead to stretching of the spectrum at the Dirac point with a finite density of localized states. This type of spectrum has been observed in epitaxial graphene by photoemission spectroscopy and discussed extensively in the literature. Second, nonresonant (weak) impurities, such as paired vacancies or Stone-Wales defects, do not stretch the spectrum but provide a line broadening that increases with energy. Finally, disorder that breaks sublattice symmetry, such as vacancies placed in only one sublattice, open a gap around the Dirac point and create an impurity band in the middle of this gap. We find good agreement between the results of the two methods and also with the experimentally measured spectra.- 3 June 2020
- Published by American Physical Society (APS) in Physical Review B
- Vol. 101 (23) , 235116
Open AccessBand dispersion of graphene with structural defects
We study the band dispersion of graphene with randomly distributed structural defects using two complementary methods, exact diagonalization of the tight-binding Hamiltonian and implementing a self-consistent matrix approximation. We identify three distinct types of impurities resulting in qualitatively different spectra in the vicinity of the Dirac point. First, resonant impurities, such as vacancies or 585 defects, lead to stretching of the spectrum at the Dirac point with a finite density of localized states. This type of spectrum has been observed in epitaxial graphene by photoemission spectroscopy and discussed extensively in the literature. Second, nonresonant (weak) impurities, such as paired vacancies or Stone-Wales defects, do not stretch the spectrum but provide a line broadening that increases with energy. Finally, disorder that breaks sublattice symmetry, such as vacancies placed in only one sublattice, open a gap around the Dirac point and create an impurity band in the middle of this gap. We find good agreement between the results of the two methods and also with the experimentally measured spectra. - Open Access
- 3 March 2020
- Published by Springer Nature in Nature Communications
- Vol. 11 (1) , 1-9
Robust weak antilocalization due to spin-orbital entanglement in Dirac material Sr3SnO
The presence of both inversion (P) and time-reversal (T) symmetries in solids leads to a double degeneracy of the electronic bands (Kramers degeneracy). By lifting the degeneracy, spin textures manifest themselves in momentum space, as in topological insulators or in strong Rashba materials. The existence of spin textures with Kramers degeneracy, however, is difficult to observe directly. Here, we use quantum interference measurements to provide evidence for the existence of hidden entanglement between spin and momentum in the antiperovskite-type Dirac material Sr3SnO. We find robust weak antilocalization (WAL) independent of the position of EF. The observed WAL is fitted using a single interference channel at low doping, which implies that the different Dirac valleys are mixed by disorder. Notably, this mixing does not suppress WAL, suggesting contrasting interference physics compared to graphene. We identify scattering among axially spin-momentum locked states as a key process that leads to a spin-orbital entanglement.
- 3 March 2020
- Published by Springer Nature in Nature Communications
- Vol. 11 (1) , 1-9
Open AccessRobust weak antilocalization due to spin-orbital entanglement in Dirac material Sr3SnO
The presence of both inversion (P) and time-reversal (T) symmetries in solids leads to a double degeneracy of the electronic bands (Kramers degeneracy). By lifting the degeneracy, spin textures manifest themselves in momentum space, as in topological insulators or in strong Rashba materials. The existence of spin textures with Kramers degeneracy, however, is difficult to observe directly. Here, we use quantum interference measurements to provide evidence for the existence of hidden entanglement between spin and momentum in the antiperovskite-type Dirac material Sr3SnO. We find robust weak antilocalization (WAL) independent of the position of EF. The observed WAL is fitted using a single interference channel at low doping, which implies that the different Dirac valleys are mixed by disorder. Notably, this mixing does not suppress WAL, suggesting contrasting interference physics compared to graphene. We identify scattering among axially spin-momentum locked states as a key process that leads to a spin-orbital entanglement.
- 7 February 2020
- Published by American Physical Society (APS) in Physical Review B
- Vol. 101 (8) , 085405
Anisotropy of spin-transfer torques and Gilbert damping induced by Rashba coupling
Spin-transfer torques (STT), Gilbert damping (GD), and effective spin renormalization (ESR) are investigated microscopically in a two-dimensional Rashba ferromagnet with spin-independent Gaussian white-noise disorder. Rashba spin-orbit coupling-induced anisotropy of these phenomena is thoroughly analyzed. For the case of two partly filled spin subbands, a remarkable relation between the anisotropic STT, GD, and ESR is established. In the absence of magnetic field and other torques on magnetization, this relation corresponds to a current-induced motion of a magnetic texture with the classical drift velocity of conduction electrons. Finally, we compute spin susceptibility of the system and generalize the notion of spin-polarized current.
- 7 February 2020
- Published by American Physical Society (APS) in Physical Review B
- Vol. 101 (8) , 085405
Anisotropy of spin-transfer torques and Gilbert damping induced by Rashba coupling
Spin-transfer torques (STT), Gilbert damping (GD), and effective spin renormalization (ESR) are investigated microscopically in a two-dimensional Rashba ferromagnet with spin-independent Gaussian white-noise disorder. Rashba spin-orbit coupling-induced anisotropy of these phenomena is thoroughly analyzed. For the case of two partly filled spin subbands, a remarkable relation between the anisotropic STT, GD, and ESR is established. In the absence of magnetic field and other torques on magnetization, this relation corresponds to a current-induced motion of a magnetic texture with the classical drift velocity of conduction electrons. Finally, we compute spin susceptibility of the system and generalize the notion of spin-polarized current.
- 1 December 2019
- Published by Pleiades Publishing Ltd in JETP Letters
- Vol. 110 (12) , 804-809
Optical Properties of px + ipy Superconductors with Strong Impurities
We study effects of strong impurities on optical properties of a chiral p x + ip ysuperconductor with broken time-reversal symmetry. Potential impurities create subgap states in the superconductor’s...
- 1 December 2019
- Published by Pleiades Publishing Ltd in JETP Letters
- Vol. 110 (12) , 804-809
Optical Properties of px + ipy Superconductors with Strong Impurities
We study effects of strong impurities on optical properties of a chiral p x + ip ysuperconductor with broken time-reversal symmetry. Potential impurities create subgap states in the superconductor’s...
- 28 June 2019
- Published by American Physical Society (APS) in Physical Review B
- Vol. 99 (21) , 214444
Spin-torque resonance due to diffusive dynamics at the surface of a topological insulator
We investigate spin-orbit torques on magnetization in an insulating ferromagnetic layer that is brought into close proximity to a topological insulator (TI). In addition to the well-known fieldlike spin-orbit torque, we identify an anisotropic anti-damping-like spin-orbit torque that originates in a diffusive motion of conduction electrons. This diffusive torque is vanishing in the limit of zero momentum (i.e., for a spatially homogeneous electric field or current), but it may, nevertheless, have a strong impact on spin-torque resonance at finite frequency provided the external field is neither parallel nor perpendicular to the TI surface. The required electric-field configuration can be created by a grated top gate.
- 28 June 2019
- Published by American Physical Society (APS) in Physical Review B
- Vol. 99 (21) , 214444
Spin-torque resonance due to diffusive dynamics at the surface of a topological insulator
We investigate spin-orbit torques on magnetization in an insulating ferromagnetic layer that is brought into close proximity to a topological insulator (TI). In addition to the well-known fieldlike spin-orbit torque, we identify an anisotropic anti-damping-like spin-orbit torque that originates in a diffusive motion of conduction electrons. This diffusive torque is vanishing in the limit of zero momentum (i.e., for a spatially homogeneous electric field or current), but it may, nevertheless, have a strong impact on spin-torque resonance at finite frequency provided the external field is neither parallel nor perpendicular to the TI surface. The required electric-field configuration can be created by a grated top gate.