Signatures of Wigner Localization in Epitaxially Grown Nanowires

Abstract

It was predicted by Wigner in 1934 that the electron gas will undergo a transition to a crystallized state when its density is very low. Whereas significant progress has been made towards the detection of electronic Wigner states, their clear and direct experimental verification still remains a challenge. Here we address signatures of Wigner molecule formation in the transport properties of InSb nanowire quantum dot systems, where a few electrons may form localized states depending on the size of the dot (i.e. the electron density). By a configuration interaction approach combined with an appropriate transport formalism, we are able to predict the transport properties of these systems, in excellent agreement with experimental data. We identify specific signatures of Wigner state formation, such as the strong suppression of the antiferromagnetic coupling, and are able to detect the onset of Wigner localization, both experimentally and theoretically, by studying different dot sizes.

arXiv comment4 pages, 4 figures

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• Coherent control and spectroscopy of a semiconductor quantum dot Wigner molecule
• Spectral function of few electrons in quantum wires and carbon nanotubes as a signature of Wigner localization
• Three interacting atoms in a one-dimensional trap: A benchmark system for computational approaches
• Absence of Wigner molecules in one-dimensional few-fermion systems with short-range interactions
• Formation of Long Single Quantum Dots in High Quality InSb Nanowires Grown by Molecular Beam Epitaxy
• Two-body Wigner molecularization in asymmetric quantum dot spin qubits
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• Spin-orbit-enhanced Wigner localization in quantum dots
• Fermionic versus bosonic behavior of confined Wigner molecules
• Formation of defects in multirow Wigner crystals
• Long- and short-range interaction footprints in entanglement entropies of two-particle Wigner molecules in 2D quantum traps
• Wigner crystal in snaked nanochannels
• Microscopic theory on magnetic-field-tuned sweet spot of exchange interactions in multielectron quantum-dot systems
• Artificial versus Natural Atoms: The uncanny capability of the many-body Schrödinger equation to produce emergent behavior