Magnetic domains in non-ferromagnetic metals: The non-linear de Haas-van Alphen effect

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

“…However, at low temperatures application of parametric pumping leads to giant amplification of the nonlinear response in narrow windows of the dc magnetic field near the beating antinodes in a part of dHvA period (see Fig. 4) when the diamagnetic phase transition takes place [18,19]. The period of the dHvA oscillations grows as H 2 and the diamagnetic phase transition becomes less steep.…”

Temperature and magnetic field dependencies of Condon domain phase in Lifschitz–Kosevich–Shoenberg approximation

“…in the nearest vicinity of the point of DPT, from the Eq. (5) one can obtain the expression for magnetization y ± = ± [6(1 − 1/a)] [8]. According to Eq.…”

“…In case of ellipsoidal Fermi surface, the temperature and field dependence of the reduced amplitude of dHvA oscillations a is defined by [2], [8] …”

“…is the limiting field [8] above which DPT does not occur at any temperature T , ǫ F is Fermi energy in eV , η = m c /m and m electron mass. The validity of the LKS approximation and, consequently, the expression for reduced amplitude of the dHvA oscillations a (8) is restricted by the application to the spherical (or almost spherical) Fermi surface sheets, which is the case of noble metals [2].…”

“…Although the theoretical aspects of the CD formation have been recently reviewed [8], some important questions concerning the DPT and non-uniform phase of strongly correlated electron gas are still open. In particular, the detailed theoretical investigation of the influence of the temperature T , magnetic field µ 0 H and impurities of the sample on such important characteristics of the non-uniform diamagnetic phase, as the range of existence of the CD structure and magnetic induction splitting, is still lacking.…”