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Time-dependent current density functional theory on a lattice

机译:时变电流密度泛函理论

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摘要

A rigorous formulation of time-dependent current density functional theory (TDCDFT) on a lattice is presented. The density-to-potential mapping and the V-representability problems are reduced to a solution of a certain nonlinear lattice Schrodinger equation, to which the standard existence and uniqueness results for nonlinear differential equations are applicable. For two versions of the lattice TDCDFT, we prove that any continuous-in-time current density is locally V-representable (both interacting and noninteracting), provided that in the initial state the local kinetic energy is nonzero everywhere. In most cases of physical interest, the V-representability should also hold globally in time. These results put the application of TDCDFT to any lattice model on a firm foundation, and pave the way for studying exact properties of exchange-correlation potentials.
机译:提出了时变电流密度泛函理论(TDCDFT)在晶格上的严格表述。密度-电位映射和V-可表示性问题被简化为某个非线性晶格Schrodinger方程的解,适用于非线性微分方程的标准存在性和唯一性结果。对于两个版本的TDCDFT晶格,我们证明了任何连续的时间电流密度都可以局部用V表示(相互作用和不相互作用),前提是在初始状态下局部动能在任何地方都不为零。在大多数有身体利益的情况下,V表示性也应及时全局保持。这些结果为将TDCDFT应用于任何晶格模型奠定了坚实的基础,并为研究交换相关电位的精确特性铺平了道路。

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  • 来源
    《Physical review》 |2011年第3期|p.035127.1-035127.8|共8页
  • 作者

    I. V. Tokatly;

  • 作者单位

    Nano-Bio Spectroscopy Group and ETSF Scientific Development Centre, Departamento de Fisica de Materiales,Universidad del Pais Vasco UPV/EHU, E-20018 San Sebastian, Spain and IKERBASQUE, Basque Foundation for Science, E-48011 Bilbao, Spain;

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  • 正文语种 eng
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  • 关键词

    lattice fermion models (hubbard model, etc.);

    机译:格子费米子模型(哈伯德模型等);

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