Ferromagnetic and freezing transitions in electron liquids: Exchange and Coulomb effects at finite temperatures
- 1 September 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 52 (10) , 7278-7294
- https://doi.org/10.1103/physrevb.52.7278
Abstract
Free energies of the paramagnetic and ferromagnetic electron liquids are evaluated through explicit calculations of the spin-dependent local-field corrections associated with the second-order, regular and anomalous, exchange diagrams. Their analytic expressions have been obtained as functions of temperature. Exchange- and Coulomb-correlation effects beyond the random-phase approximation are accounted for in reference to the known thermodynamic properties of the paramagnetic and ferromagnetic electron liquids in the ground state as well as at arbitrary degeneracy. The resultant density-dependent, Coulomb coupling effects act to reduce the exchange effects. A magnetic phase diagram for the ferromagnetic transition is thus obtained together with conditions for the freezing transition into the Coulomb solids.Keywords
This publication has 26 references indexed in Scilit:
- Electron LiquidsPublished by Springer Nature ,1993
- Magnetic Fields of Degenerate StarsAnnual Review of Astronomy and Astrophysics, 1992
- Strongly coupled plasmas: high-density classical plasmas and degenerate electron liquidsReviews of Modern Physics, 1982
- Ground State of the Electron Gas by a Stochastic MethodPhysical Review Letters, 1980
- Jupiter's MagnetosphereAnnual Review of Astronomy and Astrophysics, 1977
- Helium at zero temperature with hard-sphere and other forcesPhysical Review A, 1974
- Energy, Specific Heat, and Magnetic Properties of the Low-Density Electron GasPhysical Review B, 1961
- Correlation Energy of an Electron Gas at High DensityPhysical Review B, 1957
- Effects of the electron interaction on the energy levels of electrons in metalsTransactions of the Faraday Society, 1938
- On the Interaction of Electrons in MetalsPhysical Review B, 1934