Single-particle spectral functions for heavy fermion surface-systems and coupled one-dimensional nanowires

近藤绝缘子出现时，重费米子带，由局部矩的筛选动态产生，被完全占据。由于自旋轨道耦合和相关效应在这些化合物中占主导地位，因此提出了物质的这种相关状态可能是拓扑绝缘体的一种实现的猜想。特别是，SmB6是一个可能的候选者。一个具有实际意义的基本问题是，单粒子谱函数对带边拓扑的温度依赖性。我们将通过精确地求解拓扑近藤绝缘状态实现的模型来解决这个问题。重费米子物理实验观测的进展取决于实际的模型计算。我们将继续在基于Ce的重费米子系统上进行合作，并进一步发展基于Ce的重费米子的LDA+DMFT （NCA）方法。一个较长期的目标是推广这些方法来处理具有多个f电子的离子，如Sm。定制纳米线阵列的能力为研究由一维导体之间的电荷波动引发的维度交叉的物理学开辟了一个新的领域。描述这种维度交叉的模型将在链- dmft方法的框架内进行研究，该方法是捕获一维波动的适当工具。研究了卢廷格液体到费米液体的空间驱动跃迁和空间驱动莫特跃迁。

Kondo insulators arise when the heavy fermion band, dynamically generated by the screening of local moments, is fully occupied. Since spin-orbit coupling alongside correlation effects is dominant in these compounds, the conjecture that this correlated state of matter can be a realization of a topological insulator has been put forward. In particular, SmB6 is a possible candidate. One fundamental question, of practical relevance, is the temperature dependence of the single particle spectral functions on topologies with edges. We will address this question by solving numerically exactly a model where the topological Kondo insulating state is realized. Progress in the experimental observation of heavy fermion physics hinges on realistic model calculations. We will pursue our collaborative effort on Ce based heavy fermion systems and further develop our LDA+DMFT (NCA) approach for Ce based heavy fermions. A longer term aim is to generalize these approaches to tackle ions with more than one f-electron such as Sm. The ability to tailor arrays of nano-wires opens a new playground to study the physics of the dimensional crossover both triggered by charge fluctuations between the one-dimensional conductors. Models describing this dimensional crossover will be studied in the framework of the chain-DMFT approach which is an appropriate tool to capture the one dimensional fluctuations. The dimensional driven transition from the Luttinger liquid to the Fermi liquid as well as the dimensional driven Mott transition will be studied.