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A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
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The fast decoupled power flow method addresses contingencies in power system operations, such as generator outages or transmission line failures. This method provides quick power flow solutions, essential for real-time system adjustments. Fast decoupled power flow algorithms simplify the Jacobian matrix by neglecting certain elements, leading to two sets of decoupled equations:
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Shaping Electronic Flows with Strongly Correlated Physics.

Andre Erpenbeck1, Emanuel Gull1, Guy Cohen2,3

  • 1Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, United States.

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This summary is machine-generated.

Quantum correlations in nanoscale systems can control electronic flow across large distances. This study shows how tuning a single parameter in a metallic nanosheet significantly alters electron transport, enabling new nanoelectronic device designs.

Keywords:
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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Nanotechnology

Background:

  • Nonequilibrium quantum transport is crucial for nanotechnology, requiring understanding of strong electronic correlations.
  • Previous research on correlated transport was limited to few-channel systems, hindering cross-scale effect investigations.

Purpose of the Study:

  • To investigate the interplay between quantum correlations and confinement beyond few-channel systems.
  • To explore how atomic-scale quantum correlations influence nanoscale transport phenomena.

Main Methods:

  • Theoretical modeling of an atomic impurity in a metallic nanosheet connected to two leads.
  • Analysis of the impact of tuning a single local hopping parameter's phase on quantum transport.

Main Results:

  • Transport is significantly altered by tuning the phase of a single local hopping parameter.
  • Quantum correlations reshape electronic flow, either funneling it through the impurity or scattering it away.
  • Demonstrated control over electron flow across a larger region by manipulating quantum correlations.

Conclusions:

  • Quantum correlations can bridge length scales in nanoscale systems.
  • This offers potential for designing advanced nanoelectronic devices and sensors with tunable transport properties.