Truncated-Unity Functional Renormalization Group for Multiband Systems With Spin-Orbit Coupling
Truncated-Unity Functional Renormalization Group for Multiband Systems With Spin-Orbit Coupling
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DOI：
10.3389/fphy.2018.00032
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发表时间：
2017-10
影响因子：
3.1
通讯作者：
G. Schober;J. Ehrlich;Timo Reckling;C. Honerkamp
中科院分区：
文献类型：
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作者：
G. Schober;J. Ehrlich;Timo Reckling;C. Honerkamp
虽然泛函重整化群（fRG）是一种研究关联电子系统的成熟方法，但它仍在进行重大的技术和概念改进。特别是，最佳地利用现代计算平台的并行性的动机，最近导致了“截断统一”的功能重整化群（TU-fRG）的发展。在这里，我们回顾这个fRG的变体，我们提供了它的扩展到多带系统的自旋轨道耦合。此外，我们还讨论了实施的一些方面，并概述了预测广泛的一类量子材料的基态有序和涌现能量尺度的机会和挑战。
Although the functional renormalization group (fRG) is by now a well-established method for investigating correlated electron systems, it is still undergoing significant technical and conceptual improvements. In particular, the motivation to optimally exploit the parallelism of modern computing platforms has recently led to the development of the "truncated-unity" functional renormalization group (TU-fRG). Here, we review this fRG variant, and we provide its extension to multiband systems with spin-orbit coupling. Furthermore, we discuss some aspects of the implementation and outline opportunities and challenges ahead for predicting the ground-state ordering and emergent energy scales for a wide class of quantum materials.