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Engineering electronically decoupled spin states is essential for achieving robust spin by suppressing inelastic spin-flip scattering induced by conduction electrons. Accordingly, the fabrication of spins on insulating ultrathin films such as MgO or NaCl deposited on metallic substrates has been intensively investigated over the past decades to mitigate electronic hybridization. However, these studies have predominantly focused on non-magnetic noble metal substrates. In this work, we experimentally demonstrate that ultrathin MgO films grown on a ferromagnetic Fe(001) substrate, commonly employed in tunnel magnetoresistance sensors, can serve as an advanced platform for realizing electronically isolated spin states. As a prototypical system, we utilize a copper (Cu) ion ( = 1/2) embedded within a copper-phthalocyanine (CuPc) molecule. An atomically flat and clean insulating surface is obtained by optimizing the epitaxial growth conditions of ∼1 nm-thick MgO films on an Fe(001) whisker substrate precoated with a (1 × 1) oxygen layer. Scanning tunneling microscopy (STM) conducted at 4.6 K under ultrahigh vacuum conditions shows individual CuPc molecules adsorbed on the MgO surface. Simultaneous scanning tunneling spectroscopy (STS) reveals a well-defined molecular energy gap. Remarkably, a pronounced zero-bias peak (ZBP) emerges within this gap, signifying the presence of an electronically isolated spin on the MgO/Fe(001) heterostructure. Moreover, STS measurements reveal the lateral extension of the ZBP across the insulating film. These findings pave the way for engineering isolated molecular spin states on ferromagnetic substrates, offering new possibilities for manipulating spin states through substrate-mediated magnetic interactions.
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http://dx.doi.org/10.1039/d5nh00192g | DOI Listing |
J Chem Theory Comput
September 2025
Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24060, United States.
The Slater-type F12 geminal length scales originally tuned for the second-order Mo̷ller-Plesset F12 method are too large for higher-order F12 methods formulated using the SP (diagonal fixed-coefficient spin-adapted) F12 ansatz. The new geminal parameters reported herein reduce the basis set incompleteness errors (BSIEs) of absolute coupled-cluster singles and doubles F12 correlation energies by a significant─and increase with the cardinal number of the basis─margin. The effect of geminal reoptimization is especially pronounced for the cc-pVZ-F12 basis sets (specifically designed for use with F12 methods) relative to their conventional aug-cc-pVZ counterparts.
View Article and Find Full Text PDFPhys Rev Lett
August 2025
McMaster University, Department of Physics and Astronomy, Hamilton, Ontario L8S 4M1, Canada.
Magnetic heat capacity measurements of a high-quality single crystal of the dipole-octupole pyrochlore Ce_{2}Hf_{2}O_{7} down to a temperature of T=0.02 K are reported. These show a two-peaked structure, with a Schottky-like peak at T_{1}∼0.
View Article and Find Full Text PDFPhys Rev Lett
August 2025
University of Science and Technology of China, Hefei National Research Center for Physical Sciences at the Microscale and Synergetic Innovation Center of Quantum Information & Quantum Physics, New Cornerstone Science Laboratory, Hefei, Anhui 230026, China.
The multiplicity of orbitals in quantum systems significantly influences the competition between Kondo screening and local spin magnetization. The identification of orbital-specific processes is essential for advancing spintronic devices, as well as for enhancing the understanding of many-body quantum phenomena, but it remains a great challenge. Here, we use a combination of scanning tunneling microscopy/spectroscopy and electron spin resonance (ESR) spectroscopy to investigate single iron phthalocyanine (FePc) molecules on MgO/Ag(100).
View Article and Find Full Text PDFPhys Rev Lett
August 2025
Weizmann Institute of Science, Department of Physics of Complex Systems, Rehovot 761001, Israel.
The coupling of lasers plays an important role in a variety of research activities, from generating high-power lasers to investigating out-of-equilibrium coupled systems. This Letter presents our investigations of Hermitian coupling in arrays of lasers, where it is possible to control both the amplitude and phase of the coupling and generate artificial gauge fields. The Hermitian coupling is demonstrated in three laser array geometries: a square array of 100 lasers with controlled laser coupling for obtaining continuous control over the phase-locked state, a triangular array of 130 lasers with controlled chirality of the lasers, and a ring array of eight lasers with a controlled topological charge.
View Article and Find Full Text PDFPhys Rev Lett
August 2025
Weizmann Institute of Science, Department of Condensed Matter Physics, Rehovot 7610001, Israel.
We address the problem of identifying a 2+1D topologically ordered phase using measurements on the ground-state wave function. For nonchiral topological order, we describe a series of bulk multipartite entanglement measures that extract the invariants ∑_{a} d_{a}^{2}θ_{a}^{r} for any r≥2, where d_{a} and θ_{a} are the quantum dimension and topological spin of an anyon a, respectively. These invariants are obtained as expectation values of permutation operators between 2r replicas of the wave function, applying different permutations on four distinct regions of the plane.
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