Thermodynamic Stability at the Two-Particle Level
Fuente:
arXiv
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| Autori principali: | , , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
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| _version_ | 1866916350054629376 |
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| author | Kowalski, A. Reitner, M. Del Re, L. Chatzieleftheriou, M. Amaricci, A. Toschi, A. Medici, L. de' Sangiovanni, G. Schäfer, T. |
| author_facet | Kowalski, A. Reitner, M. Del Re, L. Chatzieleftheriou, M. Amaricci, A. Toschi, A. Medici, L. de' Sangiovanni, G. Schäfer, T. |
| contents | We show how the stability conditions for a system of interacting fermions that conventionally involve variations of thermodynamic potentials can be rewritten in terms of one- and two-particle correlators. We illustrate the applicability of this alternative formulation in a multi-orbital model of strongly correlated electrons at finite temperatures, inspecting the lowest eigenvalues of the generalized local charge susceptibility in proximity of the phase-separation region. Additionally to the conventional unstable branches, we address unstable solutions possessing a positive, rather than negative compressibility. Our stability conditions require no derivative of free energy functions with conceptual and practical advantages for actual calculations and offer a clear-cut criterion for analyzing the thermodynamics of correlated complex systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_11108 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Thermodynamic Stability at the Two-Particle Level Kowalski, A. Reitner, M. Del Re, L. Chatzieleftheriou, M. Amaricci, A. Toschi, A. Medici, L. de' Sangiovanni, G. Schäfer, T. Strongly Correlated Electrons Statistical Mechanics We show how the stability conditions for a system of interacting fermions that conventionally involve variations of thermodynamic potentials can be rewritten in terms of one- and two-particle correlators. We illustrate the applicability of this alternative formulation in a multi-orbital model of strongly correlated electrons at finite temperatures, inspecting the lowest eigenvalues of the generalized local charge susceptibility in proximity of the phase-separation region. Additionally to the conventional unstable branches, we address unstable solutions possessing a positive, rather than negative compressibility. Our stability conditions require no derivative of free energy functions with conceptual and practical advantages for actual calculations and offer a clear-cut criterion for analyzing the thermodynamics of correlated complex systems. |
| title | Thermodynamic Stability at the Two-Particle Level |
| topic | Strongly Correlated Electrons Statistical Mechanics |
| url | https://arxiv.org/abs/2309.11108 |