Quasi-zero-dimensional antiferromagnets with weakly coupled clusters of multiple spins can provide an excellent platform for exploring exotic quantum states of matter. Here, we report the synthesis and the characterization of a copper-based insulating antiferromagnet, K(NbO)Cu(PO). Single-crystal X-ray diffraction measurements reveal that the crystal structure belongs to the tetragonal space group 4/, in which Cu ions align to form a quasi-two-dimensional layer of spin-1/2 coupled square tetramers. The structure is quasi-isostructural to recently reported magnetoelectric antiferromagnets, (TiO)Cu(PO) ( = Ba, Sr, and Pb) with the 422 space group. Despite their structural similarities, whereas the antiferromagnetic transition in (TiO)Cu(PO) produces conventional anomalies in magnetization and heat capacity, that in K(NbO)Cu(PO) has several unusual features such as an upturn in magnetic susceptibility and a very weak specific heat anomaly that corresponds to a spin entropy release as small as 3%. These results indicate that the magnetism of K(NbO)Cu(PO) is far different from that of (TiO)Cu(PO) and suggest that the ground state is very close to a quantum nonmagnetic singlet state. The origin of the distinct magnetism in K(NbO)Cu(PO) is discussed in terms of structural modifications of a CuO unit forming a square tetramer. Our study demonstrates that the present material family, represented by an extended chemical formula (O)Cu(PO) ( = KNb, BaTi, SrTi, and PbTi), has broad chemical controllability of their magnetism. This makes this system an attractive material platform to study the physics of quantum spin-1/2 coupled square tetramers.
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http://dx.doi.org/10.1021/acs.inorgchem.0c01463 | DOI Listing |
Phys Rev Lett
December 2024
Uppsala University, Department of Physics and Astronomy, Box 516, SE-751 20 Uppsala, Sweden.
The Landau-Lifshitz-Gilbert (LLG) and Landau-Lifshitz (LL) equations play an essential role for describing the dynamics of magnetization in solids. While a quantum analog of the LL dynamics has been proposed in [Phys. Rev.
View Article and Find Full Text PDFJ Am Chem Soc
January 2025
Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 201210, China.
The emergence of spinon quasiparticles, which carry spin but lack charge, is a hallmark of collective quantum phenomena in low-dimensional quantum spin systems. While the existence of spinons has been demonstrated through scattering spectroscopy in ensemble samples, real-space imaging of these quasiparticles within individual spin chains has remained elusive. In this study, we construct individual Heisenberg antiferromagnetic spin-1/2 chains using open-shell [2]triangulene molecules as building blocks.
View Article and Find Full Text PDFACS Nano
January 2025
Department of Physics, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland.
High-precision molecular manipulation techniques are used to control the distance between radical molecules on superconductors. Our results show that the molecules can host single electrons with a spin 1/2. By changing the distance between tip and sample, a quantum phase transition from the singlet to doublet ground state can be induced.
View Article and Find Full Text PDFSci Rep
January 2025
Department of Computer Science and Engineering, New York University Shanghai, 567 West Yangsi Road, Pudong, Shanghai, 200124, China.
A comprehensive investigation of the entanglement characteristics is carried out on tripartite spin-1/2 systems, examining prototypical tripartite states, the thermal Heisenberg model, and the transverse field Ising model. The entanglement is computed using the Rényi relative entropy. In the traditional Rényi relative entropy, the generalization parameter α can take values only in the range [Formula: see text] due to the requirements of joint convexity of the measure.
View Article and Find Full Text PDFNat Commun
January 2025
Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia.
We present an efficient strategy for on-surface engineering of organic metal-free supramolecular complexes with long-term spin protection. By vacuum deposition of azafullerene (CN) monomers on a pre-deposited template layer of [10]cycloparaphenylene ([10]CPP) nanohoops on Au(111) surface we exploit the molecular shape matching between the CN and [10]CPP for the azafullerene encapsulation with nanohoops in a guest-host complexation geometry. CN⊂[10]CPP supramolecular complexes self-assemble into an extended two-dimensional hexagonal lattice yielding a high density network of stable spin-1/2 radicals.
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