Collective tunneling of a Wigner necklace in carbon nanotubes

Szombathy, Dominik and Werner, Miklós Antal and Moca, Pascu Catalin and Legeza, Örs and Hamo, Assaf and Ilani, Shahal and Zaránd, Gergely Attila (2024) Collective tunneling of a Wigner necklace in carbon nanotubes. PHYSICAL REVIEW B, 109. No.-245139. ISSN 2469-9950

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Abstract

The collective tunneling of a Wigner necklace—a crystal-like state of a small number of strongly interacting electrons confined to a suspended nanotube and subject to a double-well potential—is theoretically analyzed and compared with experiments in Shapir et al. [Science 364, 870 (2019)]. Density matrix renormalization group computations, exact diagonalization, and instanton theory provide a consistent description of this very strongly interacting system, and show good agreement with experiments. Experimentally extracted and theoretically computed tunneling amplitudes exhibit a scaling collapse. Collective quantum fluctuations renormalize the tunneling, and substantially enhance it as the number of electrons increases.

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