Tricritical point in the quantum Hamiltonian mean-field model
Engineering long-range interactions in experimental platforms has been achieved with great success in a large variety of quantum systems in recent years. Inspired by this progress, we propose a generalization of the classical Hamiltonian mean-field model to fermionic particles. We study the phase di...
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| creator | Schmid, Harald Dieplinger, Johannes Solfanelli, Andrea Succi, Sauro Ruffo, Stefano |
| description | Engineering long-range interactions in experimental platforms has been achieved with great success in a large variety of quantum systems in recent years. Inspired by this progress, we propose a generalization of the classical Hamiltonian mean-field model to fermionic particles. We study the phase diagram and thermodynamic properties of the model in the canonical ensemble for ferromagnetic interactions as a function of temperature and hopping. At zero temperature, small charge fluctuations drive the many-body system through a first order quantum phase transition from an ordered to a disordered phase at zero temperature. At higher temperatures, the fluctuation-induced phase transition remains first order initially and switches to second order only at a tricritical point. Our results offer an intriguing example of tricriticality in a quantum system with long-range couplings, which bears direct experimental relevance. The analysis is performed by exact diagonalization and mean-field theory. |
| doi_str_mv | 10.48550/arxiv.2202.08855 |
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| subjects | Couplings Ferromagnetism Mean field theory Phase diagrams Phase transitions Physics - Quantum Physics Physics - Statistical Mechanics Quantum theory Switches Temperature Thermodynamic properties |
| title | Tricritical point in the quantum Hamiltonian mean-field model |
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