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Related Experiment Videos

Reactive hall response

Zotos1, Naef, Long

  • 1Institut Romand de Recherche Numerique en Physique des Materiaux (IRRMA), PPH-Ecublens, CH-1015 Lausanne, Switzerland.

Physical Review Letters
|September 16, 2000
PubMed
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This study analyzes the Hall constant R(H) using reactive conductivities. It reveals a direct link between R(H) and the Drude weight

Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Materials Science

Background:

  • The Hall constant R(H) is crucial for understanding electronic properties.
  • Mott-Hubbard transitions involve significant changes in charge carrier behavior.
  • Linear response theory provides a framework for analyzing system responses.

Purpose of the Study:

  • To analyze the zero temperature Hall constant R(H) using reactive conductivities.
  • To establish a relationship between R(H) and the Drude weight near Mott-Hubbard transitions.
  • To apply a novel formulation for calculating R(H) in specific electron systems.

Main Methods:

  • Analysis within linear response theory.
  • Description of Hall constant R(H) using reactive (nondissipative) conductivities.

Related Experiment Videos

  • Calculation of R(H) in quasi-one-dimensional and ladder prototype interacting electron systems.

    • Main Results:

    • The Hall constant R(H) is directly related to the density dependence of the Drude weight in a specific limit.
    • This relationship offers a simplified explanation for charge carrier sign changes near Mott-Hubbard transitions.
    • The novel formulation successfully calculates R(H) for complex electron systems.

    Conclusions:

    • A new theoretical framework connects Hall constant, Drude weight, and Mott transitions.
    • The findings provide insights into charge carrier dynamics in interacting electron systems.
    • This work advances the understanding of electronic properties in low-dimensional materials.