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Feature Request: Add shifted Gamma function support for kspacing parameter #7242

Description

@xinchenhou

Background

The current implementation of the kspacing parameter only supports the default Gamma point (0 0 0) without any shift. To support more accurate Brillouin zone sampling, we need to extend it with the shifted Gamma function.

Describe the solution you'd like

I would like the kspacing parameter to support shifted Gamma k-point grids in addition to the current default unshifted Gamma (0 0 0) mode.

Task list only for developers

  • Notice possible changes of behavior
  • Explain the changes of codes in core modules of ESolver, HSolver, ElecState, Hamilt, Operator or Psi

Notice Possible Changes of Behavior (Reminder only for developers)

No response

Notice any changes of core modules (Reminder only for developers)

No response

Notice Possible Changes of Core Modules (Reminder only for developers)

No response

Additional Context

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Task list for Issue attackers (only for developers)

  • Review and understand the proposed feature and its importance.
  • Research on the existing solutions and relevant research articles/resources.
  • Discuss with the team to evaluate the feasibility of implementing the feature.
  • Create a design document outlining the proposed solution and implementation details.
  • Get feedback from the team on the design document.
  • Develop the feature following the agreed design.
  • Write unit tests and integration tests for the feature.
  • Update the documentation to include the new feature.
  • Perform code review and address any issues.
  • Merge the feature into the main branch.
  • Monitor for any issues or bugs reported by users after the feature is released.
  • Address any issues or bugs reported by users and continuously improve the feature.

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Features NeededThe features are indeed needed, and developers should have sophisticated knowledge

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