Finite temperature mott transition in hubbard model on anisotropic triangular lattice

Area of Science:

• Condensed Matter Physics
• Quantum Mechanics

Background:

• The Hubbard model is crucial for understanding strongly correlated electron systems.
• Geometrical frustration in lattices introduces complex magnetic and electronic behaviors.
• Mott transitions signify a metal-insulator transition driven by electron-electron interactions.

Purpose of the Study:

• To investigate the Hubbard model on an anisotropic triangular lattice.
• To explore the phase diagram and identify novel phenomena like reentrant behavior.
• To connect theoretical findings with experimental observations in organic materials.

Main Methods:

• Utilizing cellular dynamical mean-field theory (CDMFT).
• Analyzing the Hubbard interaction versus temperature phase diagram.
• Examining the interplay between Fermi-liquid formation and magnetic correlations.

Main Results:

• Observed novel reentrant behavior in the Mott transition.
• Demonstrated that this behavior arises from competing Fermi-liquid formation and magnetic correlations.
• Identified geometrical frustration as a key factor enabling reentrant Mott transitions.

Conclusions:

• Reentrant Mott transitions are characteristic of systems with intermediate geometrical frustration.
• The findings provide a theoretical framework consistent with experimental results in organic materials.
• Highlights the importance of lattice geometry and frustration in correlated electron systems.