2021/06/14 by C. Walsh, M. Charlebois, P. Sémon +3
Physics and Astronomy · #Condensed matter physics #Doping #Insulator (electricity) #Materials science #Mott insulator #Optoelectronics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #Superconductivity #cond-mat.quant-gas #cond-mat.str-el #cond-mat.supr-con #quant-ph
paper · pdf · doi:10.1073/pnas.2104114118
published as Proceedings of the National Academy of Sciences, 118 (25), e2104114118 (2021) · 8 pages, 4 figures, and supplementary information; accepted version
openalex publication_date 2021/06/14 · arxiv created 2021/06/29 · arxiv updated 2022/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A key open issue in condensed matter physics is how quantum and classical correlations emerge in an unconventional superconductor from the underlying normal state. We study this problem in a doped Mott insulator with information theory tools on the two-dimensional Hubbard model at finite temperature with cluster dynamical mean-field theory. We find that the local entropy detects the superconducting state and that the difference in the local entropy between the superconducting and normal states follows the same difference in the potential energy. We find that the thermodynamic entropy is suppressed in the superconducting state and monotonically decreases with decreasing doping. The maximum in entropy found in the normal state above the overdoped region of the superconducting dome is obliterated by superconductivity. The total mutual information, which quantifies quantum and classical correlations, is amplified in the superconducting state of the doped Mott insulator for all doping levels, and shows a broad peak versus doping, as a result of competing quantum and classical effects.