One-dimensional multiband correlated conductors and Anderson impurity physics

Area of Science:

• Condensed Matter Physics
• Quantum Materials
• Correlated Electron Systems

Background:

• The Anderson impurity model has been instrumental in understanding correlated electron systems.
• Dynamical mean-field theory (DMFT) in infinite dimensions successfully predicted the phase diagram of a two-band model correlated conductor.
• Investigating reduced dimensionality is crucial for a comprehensive understanding of these models.

Purpose of the Study:

• To investigate the phase diagram of the one-dimensional version of the Anderson impurity model.
• To compare the behavior of the one-dimensional system with its infinite-dimensional counterpart.
• To understand the impact of reduced dimensionality on electronic phase transitions and phenomena like superconductivity.

Main Methods:

• Theoretical study of the one-dimensional Anderson impurity model.
• Analysis of the model in the limit of reduced dimensionality.
• Extraction and characterization of the phase diagram.

Main Results:

• The Mott metal-insulator transition at half filling is replaced by a dimerized insulator-undimerized Mott insulator transition in one dimension.
• Away from half filling, strongly correlated superconductivity observed in infinite dimensions is replaced by dominant pairing fluctuations.
• Many field theories and symmetries of the one-dimensional system show remarkable similarities to the Anderson impurity model.

Conclusions:

• The one-dimensional Anderson impurity model exhibits distinct phase transitions compared to higher dimensions, notably a dimerized insulator transition.
• Pairing fluctuations become dominant away from half filling in the one-dimensional system.
• The study highlights the enhanced importance and applicability of the Anderson impurity model across different dimensionalities.