Geometric Origin of Superfluidity in the Lieb-Lattice Flat Band

Aleksi Julku, Sebastiano Peotta, Tuomas I. Vanhala, Dong Hee Kim, Päivi Törmä

Research output: Contribution to journalArticleScientificpeer-review

148 Citations (Scopus)
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The ground state and transport properties of the Lieb lattice flat band in the presence of an attractive Hubbard interaction are considered. It is shown that the superfluid weight can be large even for an isolated and strictly flat band. Moreover the superfluid weight is proportional to the interaction strength and to the quantum metric, a band structure quantity derived solely from the flat-band Bloch functions. These predictions are amenable to verification with ultracold gases and may explain the anomalous behavior of the superfluid weight of high-Tc superconductors.

Original languageEnglish
Article number045303
Pages (from-to)1-6
JournalPhysical Review Letters
Issue number4
Publication statusPublished - 22 Jul 2016
MoE publication typeA1 Journal article-refereed


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