论文标题
磁场中稀释链链的残留熵
Residual entropy of the dilute Ising chain in a magnetic field
论文作者
论文摘要
最简单挫败系统的基态的特性，即磁场中的稀释链，在整个带电的非磁性杂质的浓度范围内进行了严格研究。提出了分析方法，以计算沮丧状态的残留熵，包括相时边界的状态，这些状态基于系统的马尔可夫特性，并涉及解决能量的线性优化问题以及熵的非线性优化问题。这些方法允许对具有各向异性相互作用的一维假蛋白模型进行明显的概括。我们计算基态相的组成，熵和磁化。我们证明在稀释的Ising链中没有伪过渡，因为相边界处状态的残留熵始终高于相邻阶段的熵。获得相边界处的磁化的浓度依赖性，与相邻阶段的线性依赖性不同，它们具有非线性行为。还考虑了与之相关的基态和熵跳跃之间的野外诱导的过渡，尤其是表明，现场诱导的从抗磁磁性状态到沮丧的态度的过渡伴随着电荷顺序。
The properties of the ground state of the simplest frustrated system, the dilute Ising chain in a magnetic field, are rigorously investigated over the entire range of concentrations of charged non-magnetic impurities. Analytical methods are proposed for calculating the residual entropy of frustrated states, including states at phase boundaries, which are based on the Markov property of the system and involve solving a linear optimization problem for energy and a nonlinear optimization problem for entropy. These methods allow obvious generalizations for one-dimensional pseudospin models with anisotropic interactions. We calculate the composition, entropy and magnetization for the ground state phases. We prove the absence of pseudo-transitions in the dilute Ising chain, since the residual entropy of states at phase boundaries is always higher than the entropy of adjacent phases. The concentration dependencies of magnetization at the phase boundaries are obtained, and unlike linear dependencies for adjacent phases, they have nonlinear behavior. Field-induced transitions between ground states and entropy jumps associated with them are also considered, and in particular, it is shown that the field-induced transition from an antiferromagnetic state to a frustrated one is accompanied by charge ordering.
