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Vibrational effects in nonequilibrium electronic transport through nanosystems

Project goals

In this project we will develop a formalism based on the non-equilibrium Green functions for the perturbative description of various inelastic electron tunneling spectroscopy (IETS) features such as formulation in terms of scattering states, IETS for molecules with negative interference including the overtones signal, and consistent description of the IETS line-width. Furthermore, we will use the path-integral Monte Carlo and recently developed memory function formalism for the numerical calculation of structural as well as transport properties of non-equilibrium versions of Anderson-Holstein and Peierls instability models.

Keywords

nonequilibrium quantum transportelectron-vibrational couplinginelastic-electron-tunneling-spectroscopyAnderson-Holstein modelQuantum Monte Carlobistabilityquantum phase transitions

Public support

  • Provider

    Czech Science Foundation

  • Programme

    Standard projects

  • Call for proposals

    Standardní projekty 20 (SGA0201600001)

  • Main participants

    Univerzita Karlova / Matematicko-fyzikální fakulta

  • Contest type

    VS - Public tender

  • Contract ID

    16-19640S

Alternative language

  • Project name in Czech

    Vibrační efekty v nerovnovážném elektronovém transportu přes nanosystémy

  • Annotation in Czech

    V tomto projektu vyvineme formalismus založený na nerovnovážných Greenových funkcích pro poruchový popis rozličných aspektů neelastické elektronové tunelovací spektroskopie jako například formulace pomocí rozptylových stavů, spektroskopie pro molekuly s destruktivní interferencí včetně signálu na sčítacích frekvencích a konzistentní zahrnutí šířky čáry. Dále za použití metody výpočtu dráhového integrálu Monte Carlo integrací a s nedávno vyvinutým formalismem paměťové funkce numericky spočteme strukturální a transportní vlastnosti nerovnovážných verzí modelů Andersona a Holsteina a Peierlsovy nestability.

Scientific branches

  • R&D category

    ZV - Basic research

  • CEP classification - main branch

    BE - Theoretical physics

  • CEP - secondary branch

    BM - Solid-state physics and magnetism

  • CEP - another secondary branch

  • 10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
    10302 - Condensed matter physics (including formerly solid state physics, supercond.)

Completed project evaluation

  • Provider evaluation

    U - Uspěl podle zadání (s publikovanými či patentovanými výsledky atd.)

  • Project results evaluation

    The research team was significantly modified. Six papers were published during the first two years of the project, while in the last there was none. While the part of the project dealing with analytical perturbative methods can be considered as successful, the other part dealing with numerical Qauntum Monte Carlo methods has not been fully finished.

Solution timeline

  • Realization period - beginning

    Jan 1, 2016

  • Realization period - end

    Dec 31, 2018

  • Project status

    U - Finished project

  • Latest support payment

    Apr 26, 2018

Data delivery to CEP

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

  • Data delivery code

    CEP19-GA0-GA-U/01:1

  • Data delivery date

    Jun 12, 2019

Finance

  • Total approved costs

    5,333 thou. CZK

  • Public financial support

    4,462 thou. CZK

  • Other public sources

    871 thou. CZK

  • Non public and foreign sources

    0 thou. CZK

Basic information

Recognised costs

5 333 CZK thou.

Public support

4 462 CZK thou.

83%


Provider

Czech Science Foundation

CEP

BE - Theoretical physics

Solution period

01. 01. 2016 - 31. 12. 2018