Fermionic correlations as metric distances: a useful tool for materials science

Abstract

We introduce a rigorous, physically appealing, and practical way to measure distances between exchange-only correlations of interacting many-electron systems, which works regardless of their size and inhomogeneity. We show that this distance captures fundamental physical features such as the periodicity of atomic elements, and that it can be used to effectively and efficiently analyze the performance of density functional approximations. We suggest that this metric can find useful applications in high-throughput materials design.

5 pages, 4 figures

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• Reverse engineering in many-body quantum physics: What many-body system corresponds to an effective single-particle equation?
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Cited by in corpus (4)

• Work-distribution quantumness and irreversibility when crossing a quantum phase transition in finite time
• Metric-space approach for distinguishing quantum phase transitions in spin-imbalanced systems
• Characterizing Adiabaticity in Quantum Many-Body Systems at Finite Temperature
• Tracking Adiabaticity in Non-Equilibrium Many-Body Systems: The Hard Case of the X-ray Photoemission in Metals