Studies of low temperature magnetism on "Toblerone" lattices

材料的物理性质一般取决于它们各自的成分。然而，现代物理学已经表明，尽管有不同的原子构成，但许多物体的系统可以表现出类似的宏观现象，统计力学已经被证明是非常有资源的，可以揭示哪些微观机制是造成这种现象的原因。磁性是统计力学成功的一个显著例子;物理学家可以用统计力学的方法来研究磁铁最有趣的性质。在这里，我们提出了一个理论研究的磁latticeswhich包括堆叠的正多边形，我们的目标是表征其低温行为的目的是提供简单的模型，可以帮助理解复杂的materials.Developing从我的硕士项目的发现在肯特大学，我们开始通过专注于材料的物理性质一般取决于它们的个别constituents。然而，现代物理学已经表明，尽管有不同的原子组成，但许多物体的系统可以表现出类似的宏观现象，而统计力学已经被证明是非常足智多谋的，可以揭示哪些微观机制是造成这种现象的原因。磁性是统计力学成功的一个显著例子;物理学家可以用统计力学的方法来研究磁铁最有趣的性质。在这里，我们提出了一个理论研究的磁latticeswhich包括堆叠的正多边形，我们的目标是表征其低温行为的目的是提供简单的模型，可以帮助理解复杂的materials.Developing从我的硕士项目在肯特大学的研究结果，我们开始，专注于theIsing模型。具体地说，我们的目标是单轴各向异性的自旋的相图，这些自旋在相等的等边三角形的顶点处重叠，一个平行于另一个，它们之间的距离恒定。研究这个模型中某些物理量的不寻常行为（例如比热）是否是非常规相变的表现确实是至关重要的[1]。由于最近对类似模型的关注[2]，我们的目标是开发更丰富的替代品来描述这种晶格的复杂变化的低温行为，因为文献中还没有研究过。模型具体地说，我们的目标是单轴各向异性的自旋的相图，这些自旋在相等的等边三角形的顶点处重叠，一个平行于另一个，它们之间的距离恒定。研究这个模型中某些物理量的不寻常行为（例如比热）是否是非常规相变的表现确实是至关重要的[1]。由于最近对类似模型的关注[2]，我们的目标是开发更丰富的替代品来描述这种晶格的复杂变化的低温行为，因为文献中还没有研究过。

The physical properties of materials depend in general on their individual constituents. Modern physics,however, has shown that systems of many bodies can feature analogous macroscopic phenomena despitetheir different atomistic constituents, and statistical mechanics has proved to be very resourceful for shedding light on which microscopic mechanisms are responsible for such phenomena. Magnetism is a strikingexample of the success of statistical mechanics; physicists may study the most intriguing properties of magnets by use of methods from statistical mechanics. Here we propose a theoretical study of magnetic latticeswhich consist of stacking of regular polygons, and we target the characterisation of their low-temperaturebehaviour with the aim to provide simple models that could help the understanding of complex materials.Developing on the findings from my masters project at the University of Kent, we begin by focusing on theThe physical properties of materials depend in general on their individual constituents. Modern physics,however, has shown that systems of many bodies can feature analogous macroscopic phenomena despitetheir different atomistic constituents, and statistical mechanics has proved to be very resourceful for shedding light on which microscopic mechanisms are responsible for such phenomena. Magnetism is a strikingexample of the success of statistical mechanics; physicists may study the most intriguing properties of magnets by use of methods from statistical mechanics. Here we propose a theoretical study of magnetic latticeswhich consist of stacking of regular polygons, and we target the characterisation of their low-temperaturebehaviour with the aim to provide simple models that could help the understanding of complex materials.Developing on the findings from my masters project at the University of Kent, we begin by focusing on theIsing model. Specifically, we target the phase diagram of spins with uniaxial anisotropies which are arrangedat the vertices of equal equilateral triangles stacked one parallel to the other with a constant distance between them. It is indeed crucial to investigate whether the unusual behaviour of some of thermodynamicallyquantities found for this model - for example the specific heat - could be a manifestation of unconventionalphase transitions [1]. Further motivated by recent attention given to similar models [2], we aim to developricher alternatives to describe the low temperature behaviour of complex variations of such lattices, as yetunstudied in the literature. model. Specifically, we target the phase diagram of spins with uniaxial anisotropies which are arrangedat the vertices of equal equilateral triangles stacked one parallel to the other with a constant distance between them. It is indeed crucial to investigate whether the unusual behaviour of some of thermodynamicallyquantities found for this model - for example the specific heat - could be a manifestation of unconventionalphase transitions [1]. Further motivated by recent attention given to similar models [2], we aim to developricher alternatives to describe the low temperature behaviour of complex variations of such lattices, as yetunstudied in the literature.