Authors: | Gräßer, Timo Bleicker, Philip Hering, Dag-Björn Yarmohammadi, Mohsen Uhrig, Götz S. |
Title: | Dynamic mean-field theory for dense spin systems at infinite temperature |
Language (ISO): | en |
Abstract: | A dynamic mean-field theory for spin ensembles (spinDMFT) at infinite temperatures on arbitrary lattices is established. The approach is introduced for an isotropic Heisenberg model with S=12 and external field. For large coordination numbers, it is shown that the effect of the environment of each spin is captured by a classical time-dependent random mean field which is normally distributed. Expectation values are calculated by averaging over these mean fields, i.e., by a path integral over the normal distributions. A self-consistency condition is derived by linking the moments defining the normal distributions to spin autocorrelations. In this framework, we explicitly show how the rotating-wave approximation becomes a valid description for increasing magnetic field. We also demonstrate that the approach can easily be extended. Exemplarily, we employ it to reach a quantitative understanding of a dense ensemble of spins with dipolar interaction which are distributed randomly on a plane including static Gaussian noise as well. |
Subject Headings: | Dipolar interaction Nitrogen vacancy centers in diamond Dynamical mean field theory Heisenberg model Atomic, molecular & optical Statistical physics Condensed matter & materials physics Quantum information |
Subject Headings (RSWK): | Dipol-Dipol-Wechselwirkung Gitterbaufehler Stickstoff Diamantstruktur Heisenberg-Modell Statistische Physik Monte-Carlo-Simulation Spin Dynamische Molekularfeldtheorie Kondensierte Materie Festkörperphysik |
URI: | http://hdl.handle.net/2003/40603 http://dx.doi.org/10.17877/DE290R-22473 |
Issue Date: | 2021-12-10 |
Rights link: | https://creativecommons.org/licenses/by/4.0/ |
Appears in Collections: | Theoretische Physik I |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
PhysRevResearch.3.043168.pdf | 2.06 MB | Adobe PDF | View/Open |
This item is protected by original copyright |
This item is licensed under a Creative Commons License