Designing Three-Dimensional Flat Bands in Nodal-Line Semimetals

Alexander Lau, Timo Hyart, Carmine Autieri, Anffany Chen, Dmitry I. Pikulin

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)
15 Downloads (Pure)


Electrons with large kinetic energy have a superconducting instability for infinitesimal attractive interactions. Quenching the kinetic energy and creating a flat band renders an infinitesimal repulsive interaction the relevant perturbation. Thus, flat-band systems are an ideal platform to study the competition of superconductivity and magnetism and their possible coexistence. Recent advances in the field of twisted bilayer graphene highlight this in the context of two-dimensional materials. Two dimensions, however, put severe restrictions on the stability of the low-temperature phases due to enhanced fluctuations. Only three-dimensional flat bands can solve the conundrum of combining the exotic flat-band phases with stable order existing at high temperatures. Here, we present a way to generate such flat bands through strain engineering in topological nodal-line semimetals. We present analytical and numerical evidence for this scenario and study the competition of the arising superconducting and magnetic orders as a function of externally controlled parameters. We show that the order parameter is rigid because the three-dimensional quantum geometry of the Bloch wave functions leads to a large superfluid stiffness in all three directions. Using density-functional theory and numerical tight-binding calculations, we further apply our theory to strained rhombohedral graphite and CaAgP materials.

Original languageEnglish
Article number031017
Number of pages10
JournalPhysical Review X
Issue number3
Publication statusPublished - 22 Jul 2021
MoE publication typeA1 Journal article-refereed


Dive into the research topics of 'Designing Three-Dimensional Flat Bands in Nodal-Line Semimetals'. Together they form a unique fingerprint.

Cite this