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Tunable topological phases in nanographene-based spin-½ alternating-exchange Heisenberg chains

Chenxiao Zhao1*, Gonçalo Catarina1,2, Jin-Jiang Zhang3,4, João Henriques2, Lin Yang3,4, Ji Ma3,4, Xinliang Feng3,4, Oliver Gröning1, Pascal Ruffieux1, Joaquín Rossier2, Roman Fasel1,5*

1 Swiss Federal Laboratories for Materials Science and Technology, Dübendorf, Switzerland

2 International Iberian Nanotechnology Laboratory, Braga, Portugal.

3 Faculty of Chemistry and Food Chemistry, and Center for Advancing Electronics Dresden, Technical University of Dresden, Dresden, Germany

4 Max Planck Institute of Microstructure Physics, Halle, Germany

5 University of Bern, Bern, Switzerland

* Corresponding authors emails: chenxiao.zhao@emap.ch, roman.fasel@empa.ch
DOI10.24435/materialscloud:x8-7y [version v1]

Publication date: Aug 22, 2024

How to cite this record

Chenxiao Zhao, Gonçalo Catarina, Jin-Jiang Zhang, João Henriques, Lin Yang, Ji Ma, Xinliang Feng, Oliver Gröning, Pascal Ruffieux, Joaquín Rossier, Roman Fasel, Tunable topological phases in nanographene-based spin-½ alternating-exchange Heisenberg chains, Materials Cloud Archive 2024.127 (2024), https://doi.org/10.24435/materialscloud:x8-7y

Description

Unlocking the potential of topological order within many-body spin systems has long been a central pursuit in the realm of quantum materials. Despite extensive efforts, the quest for a versatile platform enabling site-selective spin manipulation, essential for tuning and probing diverse topological phases, has persisted. Here, we utilize on-surface synthesis to construct spin-1/2 alternating-exchange Heisenberg (AH) chains with antiferromagnetic couplings J1 and J2 by covalently linking Clar's goblets -- nanographenes each hosting two antiferromagnetically-coupled unpaired electrons. In a recent work, utilizing scanning tunneling microscopy, we exert atomic-scale control over the spin chain lengths, parities and exchange-coupling terminations, and probe their magnetic response by means of inelastic tunneling spectroscopy. Our investigation confirms the gapped nature of bulk excitations in the chains, known as triplons. Besides, the triplon dispersion relation is successfully extracted from the spatial variation of tunneling spectral amplitudes. Furthermore, depending on the parity and termination of chains, we observe varying numbers of in-gap S=1/2 edge spins, enabling the determination of the degeneracy of distinct topological ground states in the thermodynamic limit-either 1, 2, or 4. By monitoring interactions between these edge spins, we identify the exponential decay of spin correlations. Our experimental findings, corroborated by theoretical calculations, present a phase-controlled many-body platform, opening promising avenues toward the development of spin-based quantum devices. The record contains data and codes that support the results discussed in the manuscript.

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Keywords

Topological phase transition Spin chian Magnetic nanographene

Version history:

2024.127 (version v1) [This version] Aug 22, 2024 DOI10.24435/materialscloud:x8-7y