TY - JOUR
T1 - Thermodynamic Stability at the Two-Particle Level
AU - Kowalski, A.
AU - Reitner, M.
AU - Del Re, L.
AU - Chatzieleftheriou, M.
AU - Amaricci, A.
AU - Toschi, A.
AU - De'Medici, L.
AU - Sangiovanni, G.
AU - Schäfer, T.
N1 - Publisher Copyright:
© 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.
PY - 2024/8/9
Y1 - 2024/8/9
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/85200852757
U2 - 10.1103/PhysRevLett.133.066502
DO - 10.1103/PhysRevLett.133.066502
M3 - Article
C2 - 39178463
AN - SCOPUS:85200852757
SN - 0031-9007
VL - 133
JO - Physical Review Letters
JF - Physical Review Letters
IS - 6
M1 - 066502
ER -