Tricritical point in the quantum Hamiltonian mean-field model

Schmid, Harald and Dieplinger, Johannes and Solfanelli, Andrea and Succi, Sauro and Ruffo, Stefano (2022) Tricritical point in the quantum Hamiltonian mean-field model. PHYSICAL REVIEW E, 106 (2): 024109. ISSN 2470-0045, 2470-0053

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Abstract

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 ther-modynamic 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 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.

Item Type: Article
Uncontrolled Keywords: GAS
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 20 Feb 2024 08:48
Last Modified: 20 Feb 2024 08:48
URI: https://pred.uni-regensburg.de/id/eprint/58215

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