Consequences of the inherent density dependence in one dimensional Dirac materials

Area of Science:

• Condensed Matter Physics
• Quantum Materials
• Theoretical Physics

Background:

• Dirac materials exhibit linear dispersion near Dirac points, leading to density-independent Fermi velocity and unique properties.
• Understanding the ground state behavior of these materials is crucial for exploring their exotic physical phenomena.

Purpose of the Study:

• To investigate the ground state properties of one-dimensional (1D) Dirac materials.
• To determine the density dependence of their thermodynamic behavior and collective modes.

Main Methods:

• Application of the Virial theorem to calculate the total average ground state energy.
• Utilizing Tomanaga-Luttinger theory to analyze the system's collective modes and dispersion properties.

Main Results:

• The Virial theorem confirms that the total average ground state energy is density-independent.
• Thermodynamic results and characteristic exponents for 1D Fermi systems are shown to be independent of density (r_s).
• Collective modes of the system demonstrate electron density independence, consistent with Virial theorem predictions.

Conclusions:

• 1D Dirac materials possess unique density-independent ground state properties.
• Theoretical predictions regarding density independence are supported by both Virial theorem and Tomanaga-Luttinger theory.
• These findings pave the way for experimental realization of density-independent exponents in Dirac materials.