{ "id": "2410.02404", "version": "v2", "published": "2024-10-03T11:31:54.000Z", "updated": "2024-10-09T07:32:14.000Z", "title": "Theory of atomic-scale direct thermometry using ESR-STM", "authors": [ "Y. del Castillo", "J. Fernández-Rossier" ], "categories": [ "cond-mat.mes-hall" ], "abstract": "Knowledge of the occupation ratio and the energy splitting of a two-level system yields a direct readout of its temperature. Based on this principle, the determination of the temperature of an individual two-level magnetic atom was demonstrated using Electron Spin Resonance (ESR) via Scanning Tunneling Microscopy (ESR-STM). The temperature determination proceeds in two steps. First, energy splitting is determined using ESR-STM. Second, the equilibrium occupation of the two-level atom is determined in a resonance experiment of a second nearby atom, that has now two different resonant peaks, associated to the two states of the magnetic two-level atom. The ratio of the heights of its resonance peaks yields the occupation ratio. Here we present theory work to address three key aspects: first, we find how shot-noise and back-action limit the precision of this thermometry method; second, we study how the geometry of the nearby spins can be used to enhance signal-to-noise ratio. We predict ESR-STM thermometry can achieve a resolution of 10 mK using temperatures in the T= 1K range. Third, we show how ESR-STM thermometry can be used to detect thermal gradients as small as 5 mK/nm.", "revisions": [ { "version": "v2", "updated": "2024-10-09T07:32:14.000Z" } ], "analyses": { "keywords": [ "atomic-scale direct thermometry", "occupation ratio", "individual two-level magnetic atom", "two-level atom", "detect thermal gradients" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }