{"title":"三角形晶格上的易轴海森堡模型:从超固体到间隙固体","authors":"Martin Ulaga, Jure Kokalj, Peter Prelovšek","doi":"arxiv-2408.05034","DOIUrl":null,"url":null,"abstract":"We investigate the easy-axis Heisenberg model on the triangular lattice by\nnumerically studying the ground-state dynamical spin structure factor\n$S^{\\mu\\mu}({\\bf q},\\omega)$ on lattices up to $N=36$ sites. Results are\nanalyzed within the supersolid scenario, characterized by the\ntranslation-symmetry-breaking parameter $m_z$ and the rotational supersolid\norder parameter $m_\\perp$. We find very robust $m_z > 0$ in the whole easy-axis\nanisotropy regime $\\alpha = J_\\perp/J_z > 0$, even enhanced by the magnetic\nfield $h>0$. Results support also $m_\\perp >0$ for intermediate $\\alpha <1$ as\nwell as for $h>0$. Still, at small $\\alpha \\ll 1$, relevant for recent\nexperiments on the magnetic material K$_2$Co(SeO$_3$)$_2$, we find at $h=0$\nrather vanishing $m_\\perp \\sim 0$, reflecting the gapped spin excitations.","PeriodicalId":501171,"journal":{"name":"arXiv - PHYS - Strongly Correlated Electrons","volume":"11 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Easy-axis Heisenberg model on the triangular lattice: from supersolid to gapped solid\",\"authors\":\"Martin Ulaga, Jure Kokalj, Peter Prelovšek\",\"doi\":\"arxiv-2408.05034\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate the easy-axis Heisenberg model on the triangular lattice by\\nnumerically studying the ground-state dynamical spin structure factor\\n$S^{\\\\mu\\\\mu}({\\\\bf q},\\\\omega)$ on lattices up to $N=36$ sites. Results are\\nanalyzed within the supersolid scenario, characterized by the\\ntranslation-symmetry-breaking parameter $m_z$ and the rotational supersolid\\norder parameter $m_\\\\perp$. We find very robust $m_z > 0$ in the whole easy-axis\\nanisotropy regime $\\\\alpha = J_\\\\perp/J_z > 0$, even enhanced by the magnetic\\nfield $h>0$. Results support also $m_\\\\perp >0$ for intermediate $\\\\alpha <1$ as\\nwell as for $h>0$. Still, at small $\\\\alpha \\\\ll 1$, relevant for recent\\nexperiments on the magnetic material K$_2$Co(SeO$_3$)$_2$, we find at $h=0$\\nrather vanishing $m_\\\\perp \\\\sim 0$, reflecting the gapped spin excitations.\",\"PeriodicalId\":501171,\"journal\":{\"name\":\"arXiv - PHYS - Strongly Correlated Electrons\",\"volume\":\"11 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Strongly Correlated Electrons\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.05034\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Strongly Correlated Electrons","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.05034","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Easy-axis Heisenberg model on the triangular lattice: from supersolid to gapped solid
We investigate the easy-axis Heisenberg model on the triangular lattice by
numerically studying the ground-state dynamical spin structure factor
$S^{\mu\mu}({\bf q},\omega)$ on lattices up to $N=36$ sites. Results are
analyzed within the supersolid scenario, characterized by the
translation-symmetry-breaking parameter $m_z$ and the rotational supersolid
order parameter $m_\perp$. We find very robust $m_z > 0$ in the whole easy-axis
anisotropy regime $\alpha = J_\perp/J_z > 0$, even enhanced by the magnetic
field $h>0$. Results support also $m_\perp >0$ for intermediate $\alpha <1$ as
well as for $h>0$. Still, at small $\alpha \ll 1$, relevant for recent
experiments on the magnetic material K$_2$Co(SeO$_3$)$_2$, we find at $h=0$
rather vanishing $m_\perp \sim 0$, reflecting the gapped spin excitations.