jellium model

Target entity: jellium model
Context triple: [Wigner-Seitz radius r_s, usedIn, jellium model]

• A. Kohn–Sham equations
  The Kohn–Sham equations are a set of self-consistent single-particle equations in density functional theory that map an interacting many-electron system onto a fictitious non-interacting system with the same electron density.
• B. Wigner-Seitz radius r_s
  The Wigner-Seitz radius r_s is a dimensionless parameter in condensed matter physics that quantifies the average spacing between electrons in an electron gas, commonly used to characterize correlation strength and phases such as the Wigner crystal.
• C. nearly-free electron model
  The nearly-free electron model is a quantum mechanical approximation in solid-state physics that describes how electrons move in a weak periodic potential within a crystal lattice, leading to the formation of electronic band structures.
• D. Hubbard model
  The Hubbard model is a fundamental theoretical model in condensed matter physics that describes interacting electrons on a lattice and is widely used to study phenomena such as magnetism, metal–insulator transitions, and high-temperature superconductivity.
• E. Lieb–Liniger model
  The Lieb–Liniger model is an exactly solvable quantum many-body system describing one-dimensional bosons with delta-function interactions, fundamental in the study of integrable systems and quantum gases.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: jellium model
Target entity description: The jellium model is a simplified theoretical model in condensed matter physics that treats conduction electrons as a uniform gas moving in a continuous positive background to study the electronic properties of metals.

• A. Kohn–Sham equations
  The Kohn–Sham equations are a set of self-consistent single-particle equations in density functional theory that map an interacting many-electron system onto a fictitious non-interacting system with the same electron density.
• B. Wigner-Seitz radius r_s
  The Wigner-Seitz radius r_s is a dimensionless parameter in condensed matter physics that quantifies the average spacing between electrons in an electron gas, commonly used to characterize correlation strength and phases such as the Wigner crystal.
• C. nearly-free electron model
  The nearly-free electron model is a quantum mechanical approximation in solid-state physics that describes how electrons move in a weak periodic potential within a crystal lattice, leading to the formation of electronic band structures.
• D. Hubbard model
  The Hubbard model is a fundamental theoretical model in condensed matter physics that describes interacting electrons on a lattice and is widely used to study phenomena such as magnetism, metal–insulator transitions, and high-temperature superconductivity.
• E. Lieb–Liniger model
  The Lieb–Liniger model is an exactly solvable quantum many-body system describing one-dimensional bosons with delta-function interactions, fundamental in the study of integrable systems and quantum gases.
• F. None of above. chosen