Geometric Origin of Superfluidity in the Lieb-Lattice Flat Band

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

doi:10.1103/PhysRevLett.117.045303

Geometric Origin of Superfluidity in the Lieb-Lattice Flat Band

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

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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.

Original language	English
Article number	045303
Pages (from-to)	1-6
Journal	Physical Review Letters
Volume	117
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevLett.117.045303
Publication status	Published - 22 Jul 2016
MoE publication type	A1 Journal article-refereed

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Geometric Origin of Superfluidity in the Lieb-Lattice Flat Band

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Marie Skłodowska-Curie Action (Individual Fellowship)

Quantum metric and superfluidity

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Geometric Origin of Superfluidity in the Lieb-Lattice Flat Band

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Quantum metric and superfluidity

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