Universal Fermi-surface anisotropy renormalization for interacting Dirac fermions with long-range interactions.

Area of Science:

• Condensed Matter Physics
• Quantum Materials
• Strongly Correlated Systems

Background:

• Recent studies suggest a universal link between Fermi surface anisotropy in 2D electron gases and composite Fermi liquids.
• The nature of composite Fermi liquid ground states, particularly in relation to Dirac fermions, remains an active area of research.

Purpose of the Study:

• To investigate the general question of anisotropy renormalization in interacting 2D Fermi systems.
• To explore the universality of Fermi surface anisotropy changes in strongly correlated electron systems.

Main Methods:

• Employed nonperturbative and numerically exact projective quantum Monte Carlo simulations.
• Utilized a combination of numerical and analytic techniques for comprehensive analysis.

Main Results:

• Discovered a universal square-root decrease in Fermi-surface anisotropy for Dirac fermions with long-range Coulomb interactions.
• This finding is particularly noteworthy given recent proposals of Dirac fermion ground states as alternatives to the Halperin-Lee-Read state.

Conclusions:

• The observed square-root decrease in anisotropy represents a potentially universal phenomenon in interacting 2D Fermi systems.
• This universality can be experimentally verified in various anisotropic Dirac materials like graphene and topological insulators.