Non-linear behaviour of diamagnetic moments in Condon domain phase

Giant parametric amplification of the nonlinear response in a single crystal of beryllium in a quantizing magnetic field

“…For every period of dHvA oscillations when the reduced amplitude of oscillations a dM/dB º ³1, the instability of an electron gas, e.g. the diamagnetic phase transition, results in the formation of a magnetization jump for an infinitely long cylinder or of Condon domain structure in the plate-like sample with strong temperature and magnetic field dependencies of the local magnetic moments [21]. In the domain phase the metastable states respect to the magnetic field are F/ M must simultaneously hold, e.g.…”

“…inflection points, restrict the range of existence of the nonuniform phase. According to [21] the ratio of this range dH to the period of dHvA oscillations DH is defined as follows…”

Temperature and magnetic field dependencies in a model of diamagnetic hysteresis in beryllium

“…The usually observed diamagnetic domain structure is of stripedomain type [1], [4], and the contribution of magnetostatic energy into the free energy density is negligibly small in comparing to the magneto-static energy of homogeneous state. In the domain state, when the reduced amplitude of dHvA oscillations satisfies to the condition (3), the demagnetization factor n, which is characteristic of the uniformly magnetized sample, is replaced by the coefficient α [7]. This coefficient depends on magnetic field, temperature, impurities and geometry of the sample and takes into account the magneto-static energy for given type of domain structure.…”

“…Magnetic interaction of strongly correlated electrons gas results in nonlinear relationship between local diamagnetic moments and external magnetic field. It was shown [7] that in CD phase the local diamagnetic moments, which contribute to the process of magnetization, are characterized by strong temperature and magnetic field dependencies.…”

“…The hysteresis loop appears periodically in every period of dHvA oscillations, when µ 0 χ > 1 ( χ is differential magnetic susceptibility, M is the oscillatory part of the magnetization, and B is magnetic induction [1]). There are three main contributions into the process of magnetization of normal metals in the condition of strong dHvA effect which have to be distinguished, the dependence of local diamagnetic moments on external magnetic field through the reduced amplitude of dHvA oscillations [7], the domain wall displacement and nucleation of the domains. The rotation processes, that are intrinsic property of magnetization loop in magnetic materials of spin origin, can be neglected in rearrangement of CD structure at least for metals with relatively simple Fermi surfaces [1] due to one-dimensional character of the diamagnetic moments.…”