Geometric Origin of Superfluidity in the Lieb-Lattice Flat Band

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  • Gwangju Institute of Science and Technology

Abstract

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.

Details

Original languageEnglish
Article number045303
Pages (from-to)1-6
JournalPhysical Review Letters
Volume117
Issue number4
Publication statusPublished - 22 Jul 2016
MoE publication typeA1 Journal article-refereed

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