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Even or odd numbers: A single molecule makes all the difference in the quantum world

Even or odd numbers: A single molecule makes all the difference in the quantum world

phys.org 16.10.2026 16:20 4 views
The researchers in the Quantum Detection Microscopy group at CIC nanoGUNE, in collaboration with chemists at CiQUS of the University of Santiago de Compostela, have demonstrated that adding or removing a single molecule

This article has been reviewed according to Science X's editorial process and policies. Editors have highlighted the following attributes while ensuring the content's credibility: The researchers in the Quantum Detection Microscopy group at CIC nanoGUNE, in collaboration with chemists at CiQUS of the University of Santiago de Compostela, have demonstrated that adding or removing a single molecule from a quantum chain can fundamentally change its interaction with a superconductor. The key lies in a property as simple as parity—that is, whether the chain contains an even or odd number of units.

While chains with an odd number interact magnetically with the superconductor, those with an even number do not. The results of this study have been published in the journal Nature. The chains are formed by triangulenes, small triangular fragments of graphene that host a spin (S=1).

When these magnetic units couple with each other, their spins interact and form a collective quantum state known as the Haldane phase, which was theoretically predicted more than four decades ago. One of its unique properties is that a chain created with integer-spin units exhibits fractional spin states at both ends (S=1/2). The research team wanted to study what happens when these fractional states come into contact with a superconductor.

This, however, presented an experimental challenge. Gold surfaces provide the necessary platform for manufacturing carbon nanostructures using on-surface synthesis techniques, but this metal does not have superconductive properties. Other materials, such as niobium, are superconductors but do not offer the same chemical environment for carrying out this type of synthesis.

To overcome this limitation, the research team developed a strategy based on growing a gold film with a thickness of 25 to 30 atomic layers on a niobium crystal. The gold film acquires superconductivity due to its proximity to the superconductor. The result is a platform that combines the characteristics of both materials: It maintains the chemical environment of gold and exhibits, from an electronic perspective, the properties of a superconductor.

The measurements taken using tunneling microscopy and spectroscopy showed a clear parity effect. In the chains formed by an odd number of triangulenes, the research team observed a characteristic sign of the interaction between a magnetic moment and the superconducting state. In contrast, in the chains with an even number of triangulenes, these signs disappeared, demonstrating the decisive role of the number of units in the interaction with the superconductor.

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