Abstract:Oscillating behaviour of the susceptibility χ and heat capacity C is considered for normal and superconducting mesoscopic systems (nanoclusters and quantum dots). It is proved that at low temperature an increasing magnetic field applied to a mesoscopic system generates local extrema of χ and C. A maximum for χ and a minimum for C simultaneously arise in those points of the field where crossings of quantum levels of the normal and superconducting mesoscopic systems take place.
“…1). Numerous peaks in χ and C result from crossings of the Fermi level and an upper level nearest to it that gives at low temperatures a maximum in χ and simultaneously a minimum in C [13] as shown in the insert in Fig. 1.…”
The theoretical investigation of the cluster de Haas -van Alphen (dHvA) oscillations in three-dimensional systems performed for the first time. Applying a threedimensional oscillator model to systems with electron numbers 10 < N ≤ 10 5 we predict distinctive size effects: the dHvA oscillations can be observed only within a certain temperature range determined by N ; the lower size limit for N is ≈ 20; the amount of the dHvA oscillations is reduced with decreasing N which is accompanied by stretching the period of the oscillations.
“…1). Numerous peaks in χ and C result from crossings of the Fermi level and an upper level nearest to it that gives at low temperatures a maximum in χ and simultaneously a minimum in C [13] as shown in the insert in Fig. 1.…”
The theoretical investigation of the cluster de Haas -van Alphen (dHvA) oscillations in three-dimensional systems performed for the first time. Applying a threedimensional oscillator model to systems with electron numbers 10 < N ≤ 10 5 we predict distinctive size effects: the dHvA oscillations can be observed only within a certain temperature range determined by N ; the lower size limit for N is ≈ 20; the amount of the dHvA oscillations is reduced with decreasing N which is accompanied by stretching the period of the oscillations.
“…This result is found in qualitative agreement with those obtained in the calculations of the canonical gap of in Refs. [20,32] various T . For T /T c 0.2, the pairing gap undergoes a backbending, which will be discussed under Sec.…”
Section: B Results Within the Doubly-folded Multilevel Equidistant Mmentioning
confidence: 99%
“…(2), the rotational part ν = i exp(βγ M ν,i ) of the partition function Z(β, γ ) is calculated following Ref. [32]. The resulting canonical average value M(β, γ ) C = βZ(β, γ ) −1 ∂Z(β, γ )/∂γ of angular momentum, therefore, varies with T .…”
Nuclear pairing properties are studied within an approach that includes the
quasiparticle-number fluctuation (QNF) and coupling to the quasiparticle-pair
vibrations at finite temperature and angular momentum. The formalism is
developed to describe non-collective rotations about the symmetry axis. The
numerical calculations are performed within a doubly-folded equidistant
multilevel model as well as several realistic nuclei. The results obtained for
the pairing gap, total energy and heat capacity show that the QNF smoothes out
the sharp SN phase transition and leads to the appearance of a thermally
assisted pairing gap in rotating nuclei at finite temperature. The corrections
due to the dynamic coupling to SCQRPA vibrations and particle-number projection
are analyzed. The effect of backbending of the momentum of inertia as a
function of squared angular velocity is also discussed.Comment: 30 pages and 9 figures. Accepted in Phys. Rev.
“…In Ref. [26] we showed that similar oscillations in C (and in the magnetic susceptibility) are stimulated by the increasing magnetic field H i.e. in that case the role of α was performed by H.…”
Section: Shape Resonances In the Fermion Heat Capacitymentioning
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