双修饰平面晶格上自旋-电子耦合模型的磁化过程和重入相变的存在性
Magnetization processes and existence of reentrant phase transitions in coupled spin-electron model on doubly decorated planar lattices
摘要：
采用广义装饰迭代变换和角转移矩阵重整化群方法，提出了一种描述二维自旋-电子耦合系统磁化过程的新模型，并进行了严格的检验.该模型由局域伊辛自旋放置在节点晶格网站和移动电子离域的装饰网站对。它考虑了移动电子的跳跃项，移动电子和局域自旋之间的伊辛耦合以及作用于两种类型粒子的塞曼项。建立了基态相图和有限温度相图，并进行了综合分析。研究发现，基态相图非常丰富，这取决于电子跳跃和外加磁场。磁化曲线的多样性可以与中间磁化平台相关，其可以通过移动电子的密度连续地调谐。此外，还证明了在温度或磁场驱动下，存在几种类型的重入相变。
英文摘要：
An alternative model for a description of magnetization processes in coupled 2D spin-electron systems has been introduced and rigorously examined using the generalized decoration-iteration transformation and the corner transfer matrix renormalization group method. The model consists of localized Ising spins placed on nodal lattice sites and mobile electrons delocalized over the pairs of decorating sites. It takes into account a hopping term for mobile electrons, the Ising coupling between mobile electrons and localized spins as well as the Zeeman term acting on both types of particles. The ground-state and finite-temperature phase diagrams were established and comprehensively analyzed. It was found that the ground-state phase diagrams are very rich depending on the electron hopping and applied magnetic field. The diversity of magnetization curves can be related to intermediate magnetization plateaus, which may be continuously tuned through the density of mobile electrons. In addition, the existence of several types of reentrant phase transitions driven either by temperature or magnetic field was proven.
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