具有拟周期边界条件的尺寸相关模型的性质
Properties of size-dependent models having quasiperiodic boundary conditions
摘要：
探讨了边界条件对热平衡中尺寸相关模型的影响。标量和费米子模型用于$D=1+3$（薄膜）、$D=1+2$（空心圆柱体）和$D=1+1$（环）。对于所有模型的最小长度被发现，低于该值没有热诱导的相变发生。利用轮廓参数$θ$控制的拟周期边界条件（$θ=0$是周期边界条件，$θ=1$是反周期边界条件），得到了最小长度直接取决于$θ$的值.也有人认为，这个参数可以与阿哈罗诺夫-玻姆相。
英文摘要：
Boundary conditions effects are explored for size-dependent models in thermal equilibrium. Scalar and fermionic models are used for $D=1+3$ (films), $D=1+2$ (hollow cylinder) and $D=1+1$ (ring). For all models a minimal length is found, below which no thermally-induced phase transition occurs. Using quasiperiodic boundary condition controlled by a contour parameter $θ$ ($θ=0$ is a periodic boundary condition and $θ=1$ is an antiperiodic condition) it results that the minimal length depends directly on the value of $θ$. It is also argued that this parameter can be associated to an Aharonov-Bohm phase.
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