Complex orders and chirality in the classical Kitaev-$Γ$ model
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866916514803744768 |
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| author | Stavropoulos, P. Peter Yang, Yang Rousochatzakis, Ioannis Perkins, Natalia B. |
| author_facet | Stavropoulos, P. Peter Yang, Yang Rousochatzakis, Ioannis Perkins, Natalia B. |
| contents | It is well-recognized that the low-energy physics of many Kitaev materials is governed by two dominant energy scales, the Ising-like Kitaev coupling $K$ and the symmetric off-diagonal $Γ$ coupling. An understanding of the interplay between these two scales is therefore the natural starting point toward a quantitative description that includes sub-dominant perturbations that are inevitably present in real materials. The present study focuses on the classical $K$-$Γ$ model on the honeycomb lattice, with a specific emphasis on the region $K<0$ and $Γ>0$, which is the most relevant for the available materials and which remains enigmatic in both quantum and classical limits, despite much effort. We employ large-scale Monte Carlo simulations on specially designed finite-size clusters and unravel the presence of a complex multi-sublattice magnetic orders in a wide region of the phase diagram, whose structure is characterized in detail. We show that this order can be quantified in terms of a coarse-grained scalar-chirality order, featuring a counter-rotating modulation on the two spin sublattices. We also provide a comparison to previous studies and discuss the impact of quantum fluctuations on the phase diagram. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_00037 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Complex orders and chirality in the classical Kitaev-$Γ$ model Stavropoulos, P. Peter Yang, Yang Rousochatzakis, Ioannis Perkins, Natalia B. Strongly Correlated Electrons It is well-recognized that the low-energy physics of many Kitaev materials is governed by two dominant energy scales, the Ising-like Kitaev coupling $K$ and the symmetric off-diagonal $Γ$ coupling. An understanding of the interplay between these two scales is therefore the natural starting point toward a quantitative description that includes sub-dominant perturbations that are inevitably present in real materials. The present study focuses on the classical $K$-$Γ$ model on the honeycomb lattice, with a specific emphasis on the region $K<0$ and $Γ>0$, which is the most relevant for the available materials and which remains enigmatic in both quantum and classical limits, despite much effort. We employ large-scale Monte Carlo simulations on specially designed finite-size clusters and unravel the presence of a complex multi-sublattice magnetic orders in a wide region of the phase diagram, whose structure is characterized in detail. We show that this order can be quantified in terms of a coarse-grained scalar-chirality order, featuring a counter-rotating modulation on the two spin sublattices. We also provide a comparison to previous studies and discuss the impact of quantum fluctuations on the phase diagram. |
| title | Complex orders and chirality in the classical Kitaev-$Γ$ model |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2311.00037 |