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Dimensional-crossover-driven Mott transition in the frustrated Hubbard model.

Marcin Raczkowski¹, Fakher F Assaad

¹Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Germany.

Physical Review Letters

|September 26, 2012

Summary

We investigated the Mott transition in a frustrated Hubbard model, revealing a metallic phase with Fermi surface pockets due to geometric frustration and interactions. This transition from one to two dimensions was found to be continuous.

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Area of Science:

Condensed Matter Physics
Quantum Materials
Strongly Correlated Electron Systems

Background:

The Mott transition describes the transition between a Mott insulator and a metal, driven by electron-electron interactions.
Geometric frustration in lattice models can lead to exotic electronic phases.
Understanding these transitions is crucial for designing novel quantum materials.

Purpose of the Study:

To investigate the Mott transition in a frustrated Hubbard model with next-nearest neighbor hopping.
To explore the emergence of metallic phases and their characteristics in such systems.
To analyze the role of dimensionality and frustration in closing the Mott gap.

Main Methods:

Utilized cluster dynamical mean-field theory (CDMFT).
Simulations performed on an 8 × 2 cluster.
Analyzed the system at half-filling with varying dimensionality.

Main Results:

The interplay of interaction, dimensionality, and frustration closes the one-dimensional Mott gap.
A metallic phase with Fermi surface pockets emerges, driven by remnant one-dimensional umklapp scattering.
Enhanced d-wave pairing correlations are observed, influenced by antiferromagnetic fluctuations.
The transition from one to two dimensions is continuous.

Conclusions:

Geometric frustration and interactions can drive a continuous Mott transition into a metallic state.
The pseudogap phase exhibits enhanced pairing correlations.
The study provides insights into the complex phase diagram of frustrated quantum systems.