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Related Concept Videos

Gauss's Law01:07

Gauss's Law

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If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
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Gauss's Law: Problem-Solving01:10

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Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area...
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Gauss's Law: Planar Symmetry01:27

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A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
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Equilibrium Conditions for a Particle01:23

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When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
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Gauss's Law: Cylindrical Symmetry01:20

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A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
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Gaussian-based quasiparticle self-consistent GW for periodic systems.

Jincheng Lei1, Tianyu Zhu1

  • 1Department of Chemistry, Yale University, New Haven, Connecticut 06520, USA.

The Journal of Chemical Physics
|December 13, 2022
PubMed
Summary
This summary is machine-generated.

We developed a quasiparticle self-consistent GW (QSGW) method for solids. This advanced method offers more consistent spectral property predictions than G0W0, removing density functional dependence for improved accuracy in materials science.

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Area of Science:

  • Computational materials science
  • Condensed matter physics
  • Quantum chemistry

Background:

  • Accurate prediction of electronic properties is crucial for materials design.
  • Traditional methods like G0W0 exhibit dependence on density functional approximations.
  • Strongly correlated materials pose significant challenges for electronic structure calculations.

Purpose of the Study:

  • To present a novel quasiparticle self-consistent GW (QSGW) implementation for periodic systems.
  • To benchmark the QSGW implementation against established methods and materials.
  • To assess the performance of QSGW in predicting spectral properties of semiconductors and transition metal oxides.

Main Methods:

  • Developed a QSGW approach using crystalline Gaussian basis sets.
  • Employed a full-frequency analytic continuation GW scheme with Brillouin zone sampling.
  • Utilized Gaussian density fitting and finite size corrections for calculations.

Main Results:

  • QSGW implementation shows systematic overestimation of band gaps in tested materials.
  • QSGW eliminates dependence on the choice of density functionals.
  • Achieved more consistent spectral property predictions compared to G0W0 across various solids.

Conclusions:

  • The developed QSGW method provides a robust and consistent approach for electronic structure calculations.
  • QSGW offers a promising alternative to G0W0, especially for strongly correlated systems.
  • This work enables the application of QSGW in ab initio quantum embedding for solid-state materials.