By K. W. H. Stevens (auth.), Jan T. Łopuszański, Andrzej Pękalski, Jerzy Przystawa (eds.)
The complaints awarded right here include the notes of lectures brought through the 11th iciness college of Theoretical Physics, held at Karpacz, Poland, February 19 - March four, 1974. the varsity was once essentially dedicated to new thoughts within the concept of magnetism in metals, alloys, and steel compounds, yet, as could be visible from the desk of contents of the ebook, different subject matters of the speculation of magnetism have been additionally mentioned throughout the lec tures. The organizers agreed to one of these broadening of the scope so one can fulfill specific requests from the Polish individuals for whose profit the varsity used to be equipped. those "local" pursuits are in actual fact mirrored within the complaints and are accountable for a undeniable inhomogeneity of the subjects chosen for presentation. however, we now have a robust wish that those fabrics can be attention-grabbing to many physicists, not just in Poland, for the topics mentioned listed here are vital not just at the neighborhood point, because the lectures include particularly clean, unpublished effects or very good up to-date experiences. the 1st a part of the quantity includes lectures at once cor responding to the identify of the college, i.e., chosen subject matters of the speculation of steel magnetism, with mild bias towards infrequent earth and actinide metals and their compounds. within the moment part now we have accumulated the subjects extra loosely hooked up with the most move, akin to statistical and thermodynamic features of assorted versions, spin-phonon interplay, and others.
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Additional info for Magnetism in Metals and Metallic Compounds
The difference E(D) - E(~g) between the energy of a D and of an exact ground state wave function ~g is a measure of the accuracy of D as an approximation of ~g. If E(D) is stationary, this energy difference is called the correlation energy. This difference in energy for the ground determinantal wave function Dg is primarily due to neglect of the Coulomb energy V arising from interatomic interactions between electrons of anti-parallel spin. From the e 2/rmn character of this energy, the energy U is larger the more tightly bound are the outer electrons.
From equation (7) and first-order perturbation theory, applicable for mobile carriers (see figure 2), the double exchange stabilization energy is ~xD = - zobcos~s, (23) where 0 is the concentration of mobile carriers. Near n£ = 1, an anti ferromagnetic super exchange interaction varying as cosS and a double exchange interaction from the mobile electrons combine to stabilize an angle between neighbouring spins that falls between 0 and 'IT. Such a cant angle can be accommodated either by a spiral spin configuration (AFS) or by a canted spin configuration (FS).
The energy U would appear explicitly in the phase diagrams if a normalized energy b/U, or tUb/U - 2zb/U, were used in place of b. , tUb as a function of observable parameters. The Coulomb energy U is a function of the transfer energy b through a screening parameter ~(b), which increases with b: (4) v= (e2)eXP(_~1'12)' 1'12 (5) JOHN B. GOODENOUGH 40 Therefore, U decreases with increasing b, and the ratio b/U increases unambiguously with increasing b. However, at the transition from strong to weak correlations, the screening parameter ~ changes particularly rapidly with b, which makes b/U increase abruptly in a narrow interval of b.
Magnetism in Metals and Metallic Compounds by K. W. H. Stevens (auth.), Jan T. Łopuszański, Andrzej Pękalski, Jerzy Przystawa (eds.)