dorsal/arxiv
View SchemaCompeting Paramagnetic Phases in the Maple-Leaf Heisenberg Antiferromagnet
| Authors | Paul L. Ebert, Yasir Iqbal, Alexander Wietek |
|---|---|
| Categories | |
| ArXiv ID | 2601.05308vv3 |
| 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.
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"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",
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