Spin electric effects in molecular antiferromagnets

Abstract

Molecular nanomagnets show clear signatures of coherent behavior and have a wide variety of effective low-energy spin Hamiltonians suitable for encoding qubits and implementing spin-based quantum information processing. At the nanoscale, the preferred mechanism for control of quantum systems is through application of electric fields, which are strong, can be locally applied, and rapidly switched. In this work, we provide the theoretical tools for the search for single molecule magnets suitable for electric control. By group-theoretical symmetry analysis we find that the spin-electric coupling in triangular molecules is governed by the modification of the exchange interaction, and is possible even in the absence of spin-orbit coupling. In pentagonal molecules the spin-electric coupling can exist only in the presence of spin-orbit interaction. This kind of coupling is allowed for both $s=1/2$ and $s=3/2$ spins at the magnetic centers. Within the Hubbard model, we find a relation between the spin-electric coupling and the properties of the chemical bonds in a molecule, suggesting that the best candidates for strong spin-electric coupling are molecules with nearly degenerate bond orbitals. We also investigate the possible experimental signatures of spin-electric coupling in nuclear magnetic resonance and electron spin resonance spectroscopy, as well as in the thermodynamic measurements of magnetization, electric polarization, and specific heat of the molecules.

31 pages, 24 figures

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Cited by in corpus (28)

• Electric field control of spins in molecular magnets
• Redox-Induced Gating of the Exchange Interactions in a Single Organic Diradical
• Coherent spin control by electrical manipulation of the magnetic anisotropy
• Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
• Hyperfine-induced decoherence in triangular spin-cluster qubits
• Many-body models for molecular nanomagnets
• First-principle studies of the spin-orbit and the Dzyaloshinskii-Moriya interactions in the \{Cu${}_3$\} single-molecule magnet
• Electric polarization induced by Neel order without magnetic superlattice: experimental study of Cu3Mo2O9 and numerical study of a small spin cluster
• Electric nonadiabatic geometric entangling gates on spin qubits
• Quantum magnetoelectric effect in molecular crystal Dy${}_3$
• Electric control of a $\{F{e}_4\}$ single-molecule magnet in a single-electron transistor
• Quantum memory coupled to cavity modes
• Read-out and Dynamics of the Qubit Built on Three Quantum Dots
• Electric control of spin states in frustrated triangular molecular magnets
• Observation of spin-electric transitions in a molecular exchange qubit
• Electric field tuning of magnetic states in single magnetic molecules
• (Spin-)density-functional theory for open-shell systems: exact magnetization density functional for the half-filled Hubbard trimer
• Field-dependent superradiant quantum phase transition of molecular magnets in microwave cavities
• Entanglement in a three spin system controlled by electric and magnetic field
• Manipulation of spin cluster qubits by electric-field induced modulation of exchange coupling, $g$-factor, and axial anisotropy
• Spin-electric Berry phase shift in triangular molecular magnets
• Finite-temperature decoherence of spin states in a $\text{{}{\text{Cu}}_3\text{}}$ single molecular magnet
• Non-collinear first-principles studies of the spin-electric coupling in frustrated triangular molecular magnets
• Geometric and holonomic quantum computation
• Cotunneling signatures of Spin-Electric coupling in frustrated triangular molecular magnets
• Universal Non-adiabatic Holonomic Gates in Quantum Dots and Single-Molecule Magnets
• Polarization dependence of spin-electric transitions in molecular exchange qubits
• Magnetoelectric effect in the mixed valence polyoxovanadate cage V${}_{12}$