Statistical Mechanics of Dilute Copper Manganese
- 15 December 1963
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 132 (6), 2412-2426
- https://doi.org/10.1103/physrev.132.2412
Abstract
The low-temperature specific heat and magnetic susceptibility for dilute concentrations of manganese in copper are studied, using the "statistical model" of Margenau and an expansion of the partition function in a power series of the concentration. An indirect "Ising model" interaction via the conduction electrons is assumed to exist between the magnetic impurities. To find a correction to the statistical model, the two-particle correlation function between impurities is derived in the limit as the temperature approaches zero. It is shown that, in this limit, the system is composed of small clusters of spins that are strongly correlated to each other within a cluster, but various clusters are randomly oriented relative to each other. An impurity within one of these clusters finds itself in an "effective field" arising from the other spins within the cluster and from the random orientation of all spins outside the cluster. This field is a random variable and its probability distribution is easily obtained from the model. The detailed shape of the probability distribution of the field is given for a particular concentration. As the temperature is increased, the internal structure of the clusters is broken up and, at high temperatures, the system exhibits paramagnetic behavior. The theory predicts correctly the experimental low-temperature specific heat and magnetic susceptibility of dilute Cu-Mn.This publication has 16 references indexed in Scilit:
- Low-temperature specific heat of dilute Cu-Mn alloysJournal of Physics and Chemistry of Solids, 1960
- Specific Heat of Dilute AlloysPhysical Review B, 1960
- New Mechanism of AntiferromagnetismPhysical Review Letters, 1959
- Low-Temperature Electrical and Magnetic Behavior of Dilute Alloys: Mn in Cu and Co in CuPhysical Review B, 1959
- Electron-spin resonance and magnetic-susceptibility measurements on dilute alloys of Mn IN Cu, Ag and MgJournal of Physics and Chemistry of Solids, 1957
- Low temperature electrical and magnetic behavior of dilute alloys of Mn in CuJournal of Physics and Chemistry of Solids, 1957
- REMARKS ON THE ANOMALOUS BEHAVIOR OF ALLOYS CONTAINING TRACES OF MANGANESE OR SIMILAR ELEMENTSCanadian Journal of Physics, 1956
- A Theory of Metallic Ferro- and Antiferromagnetism on Zener's ModelProgress of Theoretical Physics, 1956
- Electron and Nuclear Spin Resonance and Magnetic Susceptibility Experiments on Dilute Alloys of Mn in CuPhysical Review B, 1956
- Indirect Exchange Coupling of Nuclear Magnetic Moments by Conduction ElectronsPhysical Review B, 1954