A long-range quantum ferromagnet exhibits ensemble inequivalence, with microcanonical and canonical phase diagrams agreeing at T=0 but diverging at finite temperatures.
Criticality and phase diagram of quantum long-range O( N) models,
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Ensemble Inequivalence in Long-Range Quantum Spin Systems
A long-range quantum ferromagnet exhibits ensemble inequivalence, with microcanonical and canonical phase diagrams agreeing at T=0 but diverging at finite temperatures.