AWhat changed
Mazurenko and colleagues arranged cold fermionic atoms in a square optical lattice and measured antiferromagnetic spin correlations across a finite region of roughly eighty sites. A quantum gas microscope resolved individual sites, while comparisons with numerical models helped estimate temperature and interpret the correlations. The experiment created a useful low-temperature Hubbard-model simulator. It did not establish finite-temperature long-range order in an infinite two-dimensional system or solve the full doped-Hubbard phase diagram.
Scientific scope
Mazurenko and colleagues arranged cold fermionic atoms in a square optical lattice and measured antiferromagnetic spin correlations across a finite region of roughly eighty sites. A quantum gas microscope resolved individual sites, while comparisons with numerical models helped estimate temperature and interpret the correlations. The experiment created a useful low-temperature Hubbard-model simulator. It did not establish finite-temperature long-range order in an infinite two-dimensional system or solve the full doped-Hubbard phase diagram. The reported long-range order is finite-size order, not finite-temperature spontaneous breaking of continuous spin symmetry in the infinite two-dimensional system or a violation of Mermin–Wagner. Temperature and hole-doping calibration use theoretical numerical inputs; the 15 percent crossover is not a universal thermodynamic critical doping. No d-wave superconductivity, pseudogap phase, resolved incommensurate order or general solution of the doped Hubbard model is demonstrated. The measured staggered component has zero mean across shots even when its rms fluctuations and correlations are substantial.
Evidence
The linked original works support the scoped statement and contribution attribution. WRS has not independently replayed experiments or reconstructed a full mathematical proof. The reported long-range order is finite-size order, not finite-temperature spontaneous breaking of continuous spin symmetry in the infinite two-dimensional system or a violation of Mermin–Wagner. Temperature and hole-doping calibration use theoretical numerical inputs; the 15 percent crossover is not a universal thermodynamic critical doping. No d-wave superconductivity, pseudogap phase, resolved incommensurate order or general solution of the doped Hubbard model is demonstrated. The measured staggered component has zero mean across shots even when its rms fluctuations and correlations are substantial.
Contributors
- The named authors in the research record · SCIENCE: Source-listed authors for the exact contribution; experimental subjects are not autonomous scientific authors. Source support and predecessor work retain separate roles. Individual effort shares and unresolved identities are not inferred.
- A cold-atom Fermi–Hubbard antiferromagnet (Nature545462–466 plusMethods/ExtendedData, NSFpubliccopy)
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