横向磁场中各向异性XY链的phase diagram
On the phase diagram of the anisotropic XY chain in transverse magnetic field
摘要：
研究了各向异性XY链在横向磁场中基态能量的一个显式表达式。特别是，我们研究的表达，在椭圆积分方面的光滑性。我们确认已知的二维伊辛型行为在附近的某些线的相图，并给出更详细的信息，计算几个下一个领先的指数以及相应的振幅。我们还明确地表明，基态能量是无限可微的铁磁和振荡相之间的边界。
英文摘要：
We investigate an explicite formula for ground state energy of the anisotropic XY chain in transverse magnetic field. In particular, we examine the smoothness properties of the expression, given in terms of elliptic integrals. We confirm known 2d-Ising type behaviour in the neighbourhood of certain lines of phase diagram and give more detailed information there, calculating a few next-to-leading exponents as well as corresponding amplitudes. We also explicitly demonstrate that the ground-state energy is infinitely differentiable on the boundary between ferromagnetic and oscillatory phases.
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