Low-Temperature Specific-Heat of One-Dimensional Hubbard Model
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Low-temperature specific heat per site (C) of one-dimensional Hubbard model is investigated by the method of non-linear integral equations. For the half-filled case we show lim_<H→0>lim<T→0> C/T=πI_0(π/2U)/(6I_1(π/2U)), where T is temperature, H is magnetic field, U is the coupling constant, and I_0 and I_1 are modified Bessel functions. Although this equation yeilds lim_<T,H→0> C/T=π/6 in the limit U→0+, the true value of lim_<T,H→0>C/T at U=0 is π/3. This means that lim_<T,H→0> C/T is a discontinuous function of U at U=0. This discontinuity disappears when the band is not half filled.
- 理論物理学刊行会の論文
- 1974-07-25
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