{"paper":{"title":"Spin-Atomic Vibration Interaction and Spin-Flip Hamiltonian of a Single Atomic Spin in a Crystal Field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","physics.atm-clus"],"primary_cat":"cond-mat.mes-hall","authors_text":"Akimasa Sakuma, Kikuo Harigaya, Satoshi Kokado","submitted_at":"2010-09-19T12:38:28Z","abstract_excerpt":"We derive the spin-atomic vibration interaction $V_{\\rm SA}$ and the spin-flip Hamiltonian $V_{\\rm SF}$ of a single atomic spin in a crystal field. We here apply the perturbation theory to a model with the spin-orbit interaction and the kinetic and potential energies of electrons. The model also takes into account the difference in vibration displacement between an effective nucleus and electrons, $\\Delta {{\\boldmath $r$}}$. Examining the coefficients of $V_{\\rm SA}$ and $V_{\\rm SF}$, we first show that $V_{\\rm SA}$ appears for $\\Delta {{\\boldmath $r$}}$$\\ne$0, while $V_{\\rm SF}$ is present in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.3634","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}