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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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Published on: December 4, 2017

Mott physics beyond Brinkman-Rice scenario.

Marcin M Wysokiński^1,2, Michele Fabrizio¹

¹International School for Advanced Studies (SISSA), via Bonomea 265, IT-34136, Trieste, Italy.

Physical Review. B

|May 19, 2017

Summary

This summary is machine-generated.

This study enhances the Brinkman-Rice description of the paramagnetic Mott transition by incorporating high-energy virtual processes. The improved method accurately captures the metal-to-insulator transition, aligning with dynamical mean-field theory results.

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Area of Science:

Condensed Matter Physics
Quantum Mechanics
Materials Science

Background:

The Brinkman-Rice description, using Gutzwiller approximation, has limitations in modeling the paramagnetic Mott transition in the Hubbard model.
It neglects crucial high-energy virtual processes contributing to phenomena like antiferromagnetic exchange (J ~ t²/U).

Purpose of the Study:

To develop an improved theoretical framework for the Mott transition.
To incorporate high-energy virtual processes into the Brinkman-Rice approach.
To study the single-band metal-to-insulator transition in a Bethe lattice.

Main Methods:

Combining the Brinkman-Rice approach with a variational Schrieffer-Wolff transformation.
Applying the enhanced method to a Bethe lattice with infinite coordination number.
Utilizing the exact Gutzwiller approximation on the Bethe lattice.

Main Results:

The proposed method successfully captures high-energy virtual processes.
The study provides a Mott transition description closely matching dynamical mean-field theory.
The metal-to-insulator transition is accurately modeled.

Conclusions:

The enhanced Brinkman-Rice approach offers a more accurate description of the Mott transition.
This method shows promise for studying more complex condensed matter models.
The findings encourage further applications in condensed matter theory.