Excitation of finite chains of magnetic atoms adsorbed on a surface by tunneling electrons from a scanning tunneling microscope tip is studied using a Heisenberg Hamiltonian description of the magnetic couplings along the chain and a strong coupling approach to inelastic tunneling. The excitation probability of the magnetic levels is very high and the excitation spectra in chains of different lengths are very similar. The excitations in finite chains can be considered as spin waves quantized in the finite object. The energy and momentum spectra of the spin waves excited in the idealized infinite chain by tunneling electrons are determined from the results on the finite chains. Both ferromagnetic and antiferromagnetic couplings are considered, leading to very different results. In particular, in the antiferromagnetic case, excitations linked to the entanglement of the chain ground state are evidenced.
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Univ Paris 11, CNRS, ISMO, Unite Mixte Rech,UMR 8214, F-91405 Orsay, FranceUniv Paris 11, CNRS, ISMO, Unite Mixte Rech,UMR 8214, F-91405 Orsay, France
Gauyacq, J. P.
Lorente, N.
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Ctr Invest Nanociencia & Nanotecnol CSIC ICN, E-08193 Bellaterra, SpainUniv Paris 11, CNRS, ISMO, Unite Mixte Rech,UMR 8214, F-91405 Orsay, France
机构:
Univ Paris 11, UMR 8214, Unite Mixte CNRS, Inst Sci Mol Orsay, F-91405 Orsay, FranceUniv Paris 11, UMR 8214, Unite Mixte CNRS, Inst Sci Mol Orsay, F-91405 Orsay, France
Gauyacq, J-P
Lorente, N.
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ICN2 Inst Catala Nanociencia & Nanotecnol, Barcelona 08193, Spain
CSIC, Barcelona 08193, SpainUniv Paris 11, UMR 8214, Unite Mixte CNRS, Inst Sci Mol Orsay, F-91405 Orsay, France
机构:
Int Iberian Nanotechnol Lab, Braga, Portugal
Univ Santiago De Compostela, Santiago De Compostela, SpainEmpa Swiss Fed Labs Mat Sci & Technol, Dubendorf, Switzerland
Henriques, Joao C. G.
Ferri-Cortes, Mar
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Univ Alicante, Dept Fis Aplicada, San Vicente Raspeig 03690, SpainEmpa Swiss Fed Labs Mat Sci & Technol, Dubendorf, Switzerland
Ferri-Cortes, Mar
Catarina, Goncalo
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Empa Swiss Fed Labs Mat Sci & Technol, Dubendorf, SwitzerlandEmpa Swiss Fed Labs Mat Sci & Technol, Dubendorf, Switzerland
Catarina, Goncalo
Pignedoli, Carlo A.
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Empa Swiss Fed Labs Mat Sci & Technol, Dubendorf, SwitzerlandEmpa Swiss Fed Labs Mat Sci & Technol, Dubendorf, Switzerland
Pignedoli, Carlo A.
Ma, Ji
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Max Planck Inst Microstruct Phys, Halle, Germany
Univ Chinese Acad Sci, Beijing, Peoples R ChinaEmpa Swiss Fed Labs Mat Sci & Technol, Dubendorf, Switzerland