Effect of site dilution in the two-dimensional attractive Hubbard model
Saurabh Pradhan, G. Venketeswara Pai
TL;DR
This paper investigates how randomly distributed attractive centers affect the superconducting transition in a 2D metal, exploring spectral, transport properties, and the BCS-BEC crossover through real-space analysis.
Contribution
It introduces a real-space approach to study the effects of site dilution on superconductivity and the BCS-BEC crossover in the 2D attractive Hubbard model.
Findings
Percolative transition observed with increasing attractive centers
Spectral and transport properties vary across the transition
BCS-BEC crossover characterized in diluted systems
Abstract
We study the percolative superconducting transition as the density of randomly placed attractive centers grows in a host metal. Employing the Hubbard-Stratanovich transformation for the interaction and allowing for spatial, thermal fluctuations of the pairing field, we obtain real-space features of the transition from weak to strong coupling. Spectral and transport properties are studied in detail. BCS-BEC crossover is discussed in the context of site dilution of attractive centers.
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