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The dimensionality of quantum materials strongly affects their physicalproperties. Although many emergent phenomena, such as charge-density wave andLuttinger liquid behavior, are well understood in one-dimensional (1D) systems,the generalization to explore them in higher dimensional systems is still achallenging task. In this study, we aim to bridge this gap by systematicallyinvestigating the crystal and electronic structures of molybdenum-oxide familycompounds, where the contexture of 1D chains facilitates rich emergentproperties. While the quasi-1D chains in these materials share generalsimilarities, such as the motifs made up of MoO6 octahedrons, they exhibit vastcomplexity and remarkable tunability. We disassemble the 1D chains inmolybdenum oxides with different dimensions and construct effective models toexcellently fit their low-energy electronic structures obtained by ab initiocalculations. Furthermore, we discuss the implications of such chains on otherphysical properties of the materials and the practical significance of theeffective models. Our work establishes the molybdenum oxides as simple andtunable model systems for studying and manipulating the dimensionality inquantum systems.

Disassembling one-dimensional chains in molybdenum oxides