Download Magnetism in Metals and Metallic Compounds by K. W. H. Stevens (auth.), Jan T. Łopuszański, Andrzej PDF

By K. W. H. Stevens (auth.), Jan T. Łopuszański, Andrzej Pękalski, Jerzy Przystawa (eds.)

The court cases awarded the following comprise the notes of lectures introduced in the course of the 11th iciness institution of Theoretical Physics, held at Karpacz, Poland, February 19 - March four, 1974. the varsity used to be basically dedicated to new suggestions within the idea of magnetism in metals, alloys, and steel compounds, yet, as should be obvious from the desk of contents of the publication, different themes of the speculation of magnetism have been additionally mentioned during the lec­ tures. The organizers agreed to this sort of broadening of the scope with a purpose to fulfill specific requests from the Polish individuals for whose gain the college was once equipped. those "local" pursuits are sincerely mirrored within the lawsuits and are chargeable for a definite inhomogeneity of the themes chosen for presentation. however, we have now a robust wish that those fabrics could be attention-grabbing to many physicists, not just in Poland, for the themes mentioned listed here are vital not just at the neighborhood point, because the lectures comprise rather clean, unpublished effects or very good up­ to-date stories. the 1st a part of the quantity includes lectures at once cor­ responding to the name of the varsity, i.e., chosen issues of the idea of metal magnetism, with moderate bias towards infrequent earth and actinide metals and their compounds. within the moment part we have now gathered the subjects extra loosely hooked up with the most­ flow, comparable to statistical and thermodynamic features of varied versions, spin-phonon interplay, and others.

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GOODENOUGH are, respectively, lifted in energy from the antibonding 4s and 3d bands. A corresponding number of bonding states are stabilized. Removal of antibonding molecular-cluster states does not change the total number of antibonding electrons, which are responsible for the atomic moment; therefore, it does not change the average moment per solvent atom provided an n~ < 3/2 is maintained in all 3d bands. However, if an n~ > 3/2 occurs, removal of antibonding states from this band is equivalent to pairing spins at the neighbouring solvent atoms.

Because the atoms are not clamped, a first-order transition is possible. This observation is consistent with two distinguishable thermodynamic states, one containing strongly correlated electrons, the other weakly correlated electrons. In V02, which has the tetragonal rutile structure above a first-order semiconductor-to-metal transition at Tt = 67°C and a monoclinic structure below it, the vanadium d 1 configurations become spin paired in v-v homopolar bonds at T < Tt [7]. Above Tt , the v-v interactions are strong enough to induce band formation, and below Tt band uncrossing leaves a half filled, nondegenerate d band that becomes split in two by v-v pairing [8].

The equations given above are not yet in usable form because they involve the exact chemical potential which must be determined anew from the relation each time a new term is added to the energy. For example, if we consider only the kinetic energy, then we have already found that and therefore the kinetic energy is + _S_[JlO*H]S/2 2n2 ~o 00 n~l (-l)ncos(nna) x n S/ 2 (Contd) 29 A DENSE INTERACTING ELECTRON GAS (Contd) mT SO) SIn . (n-TTSO 1T) x [ (- - -~o*H ~O*H 4 + SO (n1T ~OIlH COS - . 1T~_--:- 2(m~~) 3( ~0~'~H)2 ' So In the case of weak and intermediate magnetic fields, denoting by 1,;' the corrected zero field chemical potential, we shall have a relation of the form Then, in the above expression for the terms in the energy, 1,; must be replaced by the full expression above in the field independent term, but merely by 1,;' in the field dependent terms, to give a result correct to leading order in the magnetic field.

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