dorsal/arxiv
View SchemaCompeting Paramagnetic Phases in the Maple-Leaf Heisenberg Antiferromagnet
| Authors | Paul L. Ebert, Yasir Iqbal, Alexander Wietek |
|---|---|
| Categories | |
| ArXiv ID | 2601.05308vv2 |
| URL | https://arxiv.org/abs/2601.05308 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We establish a remarkably rich ground state phase diagram in the maple-leaf lattice spin-$1/2$ Heisenberg antiferromagnet as a function of the three symmetry-inequivalent nearest-neighbor bonds using exact diagonalization and tower-of-states analysis on clusters up to $N=36$ sites. Besides a hexagonal plaquette state, a star-shaped valence bond solid state is discovered in close vicinity to the (canted) $120^\circ$ magnetic phase, strongly reminiscent of a de-confined critical point or Dirac spin liquid scenario on the triangular lattice antiferromagnets. Moreover, an exact dimer product-state is observed next to a collinear N\'eel-state, similar to the Shastry-Sutherland model. All identified phases compete in a parameter regime close to the isotropic point, providing a promising region for spin liquids to emerge. By analyzing Gutzwiller-projected wave-functions we identify a sliver of parameter regime where a gapped $\mathbb{Z}_{2}$ spin liquid Ansatz is in astonishing agreement with the exact $N=36$ ground state. This rich competition of paramagnetic phases demonstrates that the maple-leaf antiferromagnet is a promising platform for exotic states of matter and quantum critical phenomena.
{
"annotation_id": "5692eaa4-7113-4d75-8ed7-064462a24a04",
"date_created": "2026-02-17T05:53:03.731000Z",
"date_modified": "2026-02-17T05:53:03.731000Z",
"file_hash": "05ec0cf1b50bdb7ffeddc793352c0260188f779af7ef684efdd10f52c91dd073",
"private": false,
"record": {
"abstract": "We establish a remarkably rich ground state phase diagram in the maple-leaf lattice spin-$1/2$ Heisenberg antiferromagnet as a function of the three symmetry-inequivalent nearest-neighbor bonds using exact diagonalization and tower-of-states analysis on clusters up to $N=36$ sites. Besides a hexagonal plaquette state, a star-shaped valence bond solid state is discovered in close vicinity to the (canted) $120^\\circ$ magnetic phase, strongly reminiscent of a de-confined critical point or Dirac spin liquid scenario on the triangular lattice antiferromagnets. Moreover, an exact dimer product-state is observed next to a collinear N\\\u0027eel-state, similar to the Shastry-Sutherland model. All identified phases compete in a parameter regime close to the isotropic point, providing a promising region for spin liquids to emerge. By analyzing Gutzwiller-projected wave-functions we identify a sliver of parameter regime where a gapped $\\mathbb{Z}_{2}$ spin liquid Ansatz is in astonishing agreement with the exact $N=36$ ground state. This rich competition of paramagnetic phases demonstrates that the maple-leaf antiferromagnet is a promising platform for exotic states of matter and quantum critical phenomena.",
"arxiv_id": "2601.05308",
"authors": [
"Paul L. Ebert",
"Yasir Iqbal",
"Alexander Wietek"
],
"categories": [
"cond-mat.str-el"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Competing Paramagnetic Phases in the Maple-Leaf Heisenberg Antiferromagnet",
"url": "https://arxiv.org/abs/2601.05308",
"version": "v2"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "9d010e85-5e25-4197-bb7d-d927d935f4dd",
"id": "arXiv Dataset",
"type": "Model",
"variant": "snapshot-2026-01-17",
"version": "0.1.0"
},
"user_id": 1000002
}