The Low-Temperature Specific Heat of' the Charged-Boson and –Fermion System at the High-Density Limit
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概要
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The contribution of Coulomb interaction between boson and fermion to the low-temperature specific heat of this system which is closely related to the Individual excitation in the system is calculated exactly in the density parameter expansion at the high-density limit. The specific heat of the system at the constant volume in the unit of the Sommerfeld value is given by C_V/C_S=[1+(G-M)+F(γ,△)+o(γ^2)]-^1 where (G-M) is the Gell-Mann's term, the function F(γ,△) is the contribution of the interaction between components and has the limiting behavior as follows: F(γ,△)→-^γ_<18>-[logγ△+(π(△-1))/2,(γ/△)^<1/2>+O(γ)]as γapproches zero for fixed △, where the density parameter γ=4m_1 e^2_1/3^<1/3>π^<5/3>_<n1>^<1/3>, the parameter △ is independent of the density, and m_1 and e_1 are mass and charge of fermion, respectively. At this limit. F (γ,△) is the same order as (G-M) in the density parameter. The sharpness of the Fermi surface is also justified at this limit.
- 琉球大学理工学部の論文
- 1973-03-01
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