Nussle, T., Nicolis, S. and Barker, J. orcid.org/0000-0003-4843-5516 (2024) Quantum Thermal Expectation Values from an Effective Atomistic Spin Dynamics Model Using Path Integrals. In: 2024 IEEE International Magnetic Conference - Short papers (INTERMAG Short papers). 2024 IEEE International Magnetic Conference - Short papers (INTERMAG Short papers), 05-10 May 2024, Rio de Janeiro, Brazil. Institute of Electrical and Electronics Engineers (IEEE) ISBN 979-8-3503-6222-0
Abstract
In previous work, we have developed a method to approximate quantum thermal expectation values of a spin system using a path integral approach in the framework of atomistic spin dynamics. In the present work, we extend this model from a single spin coupled to a constant magnetic field, to the more general case of a system of spins coupled by isotropic Heisenberg interaction, in a potentially time-dependent magnetic field. In a first approximation, the classical atomistic model is extended by an effective field which for every interaction pair, depends only on the two interacting spins. This implies that we have a straightforward generalisation from 2 to N interacting spins. We compare our results to exactly solvable cases using exact diagonalisation for two-spins.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This is an author produced version of an conference paper published in 2024 IEEE International Magnetic Conference - Short papers (INTERMAG Short papers), made available under the terms of the Creative Commons Attribution License (CC BY), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. |
Keywords: | Atomistic spin dynamics, Path-integrals, Quantum spin systems , Stochastic simulations |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Condensed Matter (Leeds) |
Funding Information: | Funder Grant number EPSRC (Engineering and Physical Sciences Research Council) EP/V037935/1 Royal Society IEC\R3\23041 Royal Society URF\R1\180333 Royal Society RF\ERE\210314 |
Depositing User: | Symplectic Publications |
Date Deposited: | 21 Jan 2025 10:32 |
Last Modified: | 22 Jan 2025 10:26 |
Status: | Published |
Publisher: | Institute of Electrical and Electronics Engineers (IEEE) |
Identification Number: | 10.1109/intermagshortpapers61879.2024.10576975 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:222002 |