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

重费米子表面系统和耦合一维纳米线的单粒子光谱函数

• 批准号: 156020062
• 负责人: Professor Dr. Fakher Fakhry Assaad
• 金额: --
• 依托单位: Lehrstuhl für Theoretische Physik I - Festkörperphysik
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2009
• 资助国家: 德国
• 起止时间: 2008-12-31 至 2017-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/156020062?language=en
• 关键词: Single; particle; spectral; functions; heavy

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.

当通过屏蔽局部力矩动态产生的重费米子带被完全占据时，近藤绝缘体就出现了。由于自旋-轨道耦合和关联效应在这些化合物中占主导地位，因此提出了这样的猜想，即这种物质的关联态可能是拓扑绝缘体的实现。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光谱函数对具有边的拓扑结构的温度依赖性。我们将通过精确地数值求解一个模型来解决这个问题，在该模型中实现了拓扑近藤绝缘态。重费米子物理实验观测的进展取决于现实的模型计算。我们将继续我们在Ce基重费米子系统上的合作努力，并进一步发展我们的LDA+DMFT(NCA)方法来研究Ce基重费米子。一个更长期的目标是推广这些方法，以处理具有不止一个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舞台。描述这种维交叉的模型将在链-DMFT方法的框架内进行研究，链-DMFT方法是捕捉一维波动的适当工具。我们将研究从Luttinger液体到Fermi液体的量纲驱动跃迁以及量纲驱动的Mott跃迁。