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Density functional theory (DFT) advances quantum transport. New methods capture Kondo and Coulomb blockade regimes, overcoming limitations of older approaches for strongly correlated systems.

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Area of Science:

  • Quantum transport
  • Condensed matter physics
  • Computational chemistry

Background:

  • Landauer-Büttiker (LB) + DFT accurately models Kondo plateau but fails for Coulomb blockade (CB) transitions.
  • Strongly correlated systems present challenges for existing quantum transport theories.

Purpose of the Study:

  • Develop advanced DFT methods for quantum transport in strongly correlated systems.
  • Unify descriptions of Kondo and CB regimes within a single DFT framework.

Main Methods:

  • Time-dependent DFT (TDDFT) for non-equilibrium quantum transport.
  • Steady-state DFT formulation based on density and current.
  • Analysis using the Anderson model for parameterization.

Main Results:

  • TDDFT reveals exchange-correlation (xc) corrections to bias in addition to junction potentials.
  • Steady-state DFT provides history-independent xc potentials and bias corrections.
  • Accurate parametrization for the Anderson model across temperatures and interaction strengths.

Conclusions:

  • Proposed DFT frameworks unify descriptions of Kondo and CB regimes.
  • XC bias corrections are crucial for understanding transport through open-shell molecules.
  • Advanced DFT offers a unified approach to quantum transport phenomena.