Dependence of Degenerate electron gas's specific heat on extrastrong Magnetic field

Author: Davit Buliskeria
Co-authors: N. Tsintsadze
Keywords: degenerate electron gas, fermi-gas, extrastrong magnetic field, specific heat
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Heat Capacity of Magnetized quantum electron-ion gas D. Z. Buliskeria and N .L .Tsintsadze Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University, Tbilisi 0128, Georgia. Keywords: Quantized degenerate gas, strong and superstrong magnetic field, Quantum thermodynamics. Abstract Quantum electron-ion gas is becoming of increasing current interest motivated by its potential application in modern technology, e.g. metallic and semiconductor nanostructures- such as metallic nanoparticles, metal clusters, thin metal films, spintronics, nanotubes, quantum wall and quantum dots, etc. Moreover, quantum plasmas are common in compact astrophysical objects (e.g. the interior of white dwarf stars, magnetospheres of neutron stars and magnetars, etc.) In the present report, we wish to undertake the investigation of specific heats in a degenerate electron gas by considering the effect of Landau[1] and Kelly[2] quantization. We consider the effects of the quantizing magnetic field on the heat capacity. Note that the free electron gas for example in metals exists at any temperature even at the temperature of absolute zero. Consequently, it can be regarded that in all temperature regions of metal consists of two subsystems; a crystalline lattice of ions and a free electron gas. Therefore, the heat capacity of a metal can be presented as a sum of two items: C_V=C_Ve+C_Vi Low temperatures case (T<<Θ- Debye temperature) the total heat capacity equal the sum C_V=π^2/2 K_B ((K_B T)/ε_F )+(12π^4)/5 K_B 〖(T/Θ)〗^3, when T<<Θ<<ε_F/K_B where K_B is the Boltzmann constant, ε_F is the Fermi energy. We have shown that strong magnetic field leads to increase a coefficient of the electron heat capacity. [1] L.D. Landau and E.M. Lifshitz, Statistical Physics, part 1, Butterworth-Heinemann, Oxford, 1998. [2]Don C. Kelly, Dielectric Tensor for a Quantum Plasma, The Physical Review, Volume 134, 4 May 1964, A641.