Forbes, E. orcid.org/0009-0002-1003-1137, Horner, M.D. orcid.org/0000-0003-1381-0785, Hallam, A. orcid.org/0000-0003-2288-7661 et al. (2 more authors) (2023) Exploring interacting chiral spin chains in terms of black hole physics. Physical Review B (condensed matter and materials physics), 108 (24). 245142. ISSN 2469-9950
Abstract
In this paper we explore the properties of a one-dimensional spin chain in the presence of chiral interactions, focusing on the system's transition to distinct chiral phases for various values of the chiral coupling. By employing the mean-field theory approximation we establish a connection between this chiral system and a Dirac particle in the curved spacetime of a black hole. Surprisingly, the black-hole horizon coincides with the interface between distinct chiral phases. We examine the chiral properties of the system for homogeneous couplings and in scenarios involving position-dependent couplings that correspond to black-hole geometries. To determine the significance of interactions in the chiral chain we employ bosonization techniques and derive the corresponding Luttinger liquid model. Furthermore, we investigate the classical version of the model to understand the impact of the chiral operator on the spins and gain insight into the observed chirality. Our findings shed light on the behavior of the spin chain under the influence of the chiral operator, elucidating the implications of chirality in various contexts, including black-hole physics.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. |
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) The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 07 May 2024 09:56 |
Last Modified: | 07 May 2024 09:56 |
Published Version: | https://journals.aps.org/prb/abstract/10.1103/Phys... |
Status: | Published |
Publisher: | American Physical Society (APS) |
Identification Number: | 10.1103/PhysRevB.108.245142 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:212244 |
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