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Нарожный, Борис Николаевич

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Институт лазерных и плазменных технологий
Стратегическая цель Института ЛаПлаз – стать ведущей научной школой и ядром развития инноваций по лазерным, плазменным, радиационным и ускорительным технологиям, с уникальными образовательными программами, востребованными на российском и мировом рынке образовательных услуг.
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Нарожный
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Борис Николаевич
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  • Публикация
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    Electronic hydrodynamics in graphene
    (2019) Narozhny, B. N.; Нарожный, Борис Николаевич
    © 2019 Elsevier Inc.In this paper I report a pedagogical derivation of the unconventional electronic hydrodynamics in graphene on the basis of the kinetic theory. While formally valid in the weak coupling limit, this approach allows one to derive the unconventional hydrodynamics in the system which is neither Galilean- nor Lorentz-invariant, such that hydrodynamic equations cannot be inferred from symmetry arguments. I generalize earlier work to include external magnetic fields and give explicit expressions for dissipative coefficients, the shear viscosity and electrical conductivity. I also compare the resulting theory with relativistic hydrodynamics.
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    Vorticity of viscous electronic flow in graphene
    (2020) Danz, S.; Narozhny, B. N.; Нарожный, Борис Николаевич
    In ultra-pure materials electrons may exhibit a collective motion similar to the hydrodynamic flow of a viscous fluid, the phenomenon with far reaching consequences in a wide range of many body systems from black holes to high-temperature superconductivity. Yet the definitive detection of this intriguing behavior remains elusive. Until recently, experimental techniques for observing hydrodynamic behavior in solids were based on measuring macroscopic transport properties, such as the 'nonlocal' (or 'vicinity') resistance, which may allow alternative interpretation. Earlier this year two breakthrough experiments demonstrated two distinct imaging techniques making it possible to 'observe' the electronic flow directly. We demonstrate that a hydrodynamic flow in a long Hall bar (in the absence of magnetic field) exhibits a nontrivial vortex structure accompanied by a sign-alternating nonlocal resistance. An experimental observation of such unique flow pattern could serve a definitive proof of electronic hydrodynamics.
  • Публикация
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    Giant nonlocality in nearly compensated two-dimensional semimetals
    (2020) Danz, S.; Titov, M.; Narozhny, B. N.; Нарожный, Борис Николаевич
    In compensated two-component systems in confined, two-dimensional geometries, nonlocal response may appear due to an external magnetic field. Within a phenomenological two-fluid framework, we demonstrate the evolution of charge flow profiles and the emergence of a giant nonlocal pattern dominating charge transport in a magnetic field. Applying our approach to the specific case of intrinsic graphene, we suggest a simple physical explanation for the experimental observation of giant nonlocality. Our results provide an intuitive way to predict the outcome of future experiments exploring the rich physics of many-body electron systems in confined geometries as well as to design possible applications.
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    Optical conductivity in graphene: Hydrodynamic regime
    (2019) Narozhny, B. N.; Нарожный, Борис Николаевич
    © 2019 American Physical Society.A recent measurement of the optical conductivity in graphene [Gallagher, Yang, Lyu, Tian, Kou, Zhang, Watanabe, Taniguchi, and Wang, Science 364, 158 (2019)10.1126/science.aat8687] offers a possibility of experimental determination of microscopic time scales describing scattering processes in the electronic fluid. In this paper, I report a theoretical calculation of the optical conductivity in graphene at arbitrary doping levels, within the whole "hydrodynamic" temperature range, and for arbitrary nonquantizing magnetic fields. The obtained results are in good agreement with the available experimental data.
  • Публикация
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    Magnetohydrodynamics in graphene: Shear and Hall viscosities
    (2019) Narozhny, B. N.; Schutt, M.; Нарожный, Борис Николаевич
    Viscous phenomena are the hallmark of the hydrodynamic flow exhibited by Dirac fermions in clean graphene at high enough temperatures. We report a quantitative calculation of the electronic shear and Hall viscosities in graphene based on the kinetic theory combined with the renormalization group providing a unified description at arbitrary doping levels and nonquantizing magnetic fields. At charge neutrality, the Hall viscosity vanishes, while the field-dependent shear viscosity decays from its zero-field value saturating to a nonzero value in classically strong fields. Away from charge neutrality, the field-dependent viscosity coefficients tend to agree with the semiclassical expectation.
  • Публикация
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    Hydrodynamic collective modes in graphene
    (2021) Gornyi, I. V.; Titov, M.; Narozhny, B. N.; Нарожный, Борис Николаевич
    © 2021 American Physical Society.Collective behavior is one of the most intriguing aspects of the hydrodynamic approach to electronic transport. Here we provide a consistent, unified calculation of the dispersion relations of the hydrodynamic collective modes in graphene. Taking into account viscous effects, we show that the hydrodynamic sound mode in graphene becomes overdamped at sufficiently large momentum scales. Extending the linearized theory beyond the hydrodynamic regime, we connect the diffusive hydrodynamic charge density fluctuations with plasmons.
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    Anti-Poiseuille flow in neutral graphene
    (2021) Narozhny, B. N.; Gornyi, I. V.; Titov, M.; Нарожный, Борис Николаевич
    Hydrodynamic flow of charge carriers in graphene is an energy flow unlike the usual mass flow in conventional fluids. In neutral graphene, the energy flow is decoupled from the electric current, making it difficult to observe the hydrodynamic effects and measure the viscosity of the electronic fluid by means of electric current measurements. In particular, we show that the hallmark Poiseuille flow in a narrow channel cannot be driven by the electric field irrespective of boundary conditions at the channel edges. Nevertheless, one can observe nonuniform current densities similarly to the case of the well-known ballistic-diffusive crossover. The standard diffusive behavior with the uniform current density across the channel is achieved under the assumptions of specular scattering on the channel boundaries. This flow can also be made nonuniform by applying weak magnetic fields. In this case, the curvature of the current density profile is determined by the quasiparticle recombination processes dominated by the disorder-assisted electron-phonon scattering-the so-called supercollisions.
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    Hydrodynamic approach to two-dimensional electron systems
    (2022) Narozhny, B. N.; Нарожный, Борис Николаевич
    The last few years have seen an explosion of interest in hydrodynamic effects in interacting electron systems in ultra-pure materials. One such material, graphene, is not only an excellent platform for the experimental realization of the hydrodynamic flow of electrons, but also allows for a controlled derivation of the hydrodynamic equations on the basis of kinetic theory. The resulting hydrodynamic theory of electronic transport in graphene yields quantitative predictions for experimentally relevant quantities, e.g., viscosity, electrical conductivity, etc. Here I review recent theoretical advances in the field, compare the hydrodynamic theory of charge carriers in graphene with relativistic hydrodynamics and recent experiments, and discuss applications of hydrodynamic approach to novel materials beyond graphene. © 2022, The Author(s).
  • Публикация
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    Hydrodynamic approach to electronic transport
    (2022) Narozhny, B.; Нарожный, Борис Николаевич
    The last few years have seen an explosion of interest in hydrodynamic effects in interacting electron systems in ultra-pure materials. One such material, graphene, is not only an excellent platform for the experimental realization of the hydrodynamic flow of electrons, but also allows for a controlled derivation of the hydrodynamic equations on the basis of kinetic theory. The resulting hydrodynamic theory of electronic transport in graphene yields quantitative predictions for experimentally relevant quantities, e.g. viscosity, electrical conductivity, etc. Here I review recent theoretical advances in the field, compare the hydrodynamic theory of charge carriers in graphene with relativistic hydrodynamics and recent experiments, and discuss applications of hydrodynamic approach to novel materials beyond graphene.
  • Публикация
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    Hydrodynamic approach to many-body systems: Exact conservation laws
    (2023) Narozhny, B. N.; Нарожный, Борис Николаевич
    In this paper I present a pedagogical derivation of continuity equations manifesting exact conservation laws in an interacting electronic system based on the nonequilibrium Keldysh technique. The purpose of this exercise is to lay the groundwork for extending the hydrodynamic approach to electronic transport to strongly correlated systems where the quasiparticle approximation and Boltzmann kinetic theory fail.