%0 Journal Article %1 PhysRevLett.133.066502 %A Kowalski, A. %A Reitner, M. %A Del Re, L. %A Chatzieleftheriou, M. %A Amaricci, A. %A Toschi, A. %A de' Medici, L. %A Sangiovanni, G. %A Schäfer, T. %D 2024 %I American Physical Society %J Phys. Rev. Lett. %K a %N 6 %P 066502 %R 10.1103/PhysRevLett.133.066502 %T Thermodynamic stability at the two-particle level %U https://link.aps.org/doi/10.1103/PhysRevLett.133.066502 %V 133 %X 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 multiorbital 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.

@article{PhysRevLett.133.066502, abstract = {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 multiorbital 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.}, added-at = {2024-08-28T16:52:36.000+0200}, author = {Kowalski, A. and Reitner, M. and Del Re, L. and Chatzieleftheriou, M. and Amaricci, A. and Toschi, A. and de' Medici, L. and Sangiovanni, G. and Sch\"afer, T.}, biburl = {https://www.bibsonomy.org/bibtex/2d9ae7138c1f93bea3e561f4d9086e0fb/ctqmat}, day = 07, doi = {10.1103/PhysRevLett.133.066502}, interhash = {2b5a26fb18e0f900463dc1e746ff895f}, intrahash = {d9ae7138c1f93bea3e561f4d9086e0fb}, journal = {Phys. Rev. Lett.}, keywords = {a}, month = {08}, number = 6, numpages = {7}, pages = 066502, publisher = {American Physical Society}, timestamp = {2024-08-28T16:52:36.000+0200}, title = {Thermodynamic stability at the two-particle level}, url = {https://link.aps.org/doi/10.1103/PhysRevLett.133.066502}, volume = 133, year = 2024 }