Thermodynamic Stability at the Two-Particle Level

التفاصيل البيبلوغرافية
العنوان: Thermodynamic Stability at the Two-Particle Level
المؤلفون: Kowalski, A., Reitner, M., Del Re, L., Chatzieleftheriou, M., Amaricci, A., Toschi, A., Medici, L. de', Sangiovanni, G., Schäfer, T.
سنة النشر: 2023
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Statistical Mechanics
الوصف: 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 local 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.
Comment: 7+8 pages, 3+1 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2309.11108
رقم الأكسشن: edsarx.2309.11108
قاعدة البيانات: arXiv