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arXiv · 2306.15985

Collective tunneling of a Wigner necklace in carbon nanotubes

Dominik Szombathy·Miklós Antal Werner·Cătălin Paşcu Moca·Örs Legeza·Assaf Hamo·Shahal Ilani·Gergely Zaránd
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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 \emph{et al.}, Science {\bf 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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Dominik Szombathy, Miklós Antal Werner, Cătălin Paşcu Moca, Örs Legeza, Assaf Hamo, Shahal Ilani, Gergely Zaránd. 2023-06-28. Collective tunneling of a Wigner necklace in carbon nanotubes. https://arxiv.org/abs/2306.15985

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