Triangular $J_1$-$J_2$ Heisenberg Antiferromagnet in a Magnetic Field
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909951939575808 |
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| author | Bader, Thomas Feng, Shi Budaraju, Sasank Becca, Federico Knolle, Johannes Pollmann, Frank |
| author_facet | Bader, Thomas Feng, Shi Budaraju, Sasank Becca, Federico Knolle, Johannes Pollmann, Frank |
| contents | The behavior of the paradigmatic $J_1-J_2$ triangular lattice Heisenberg antiferromagnet in a magnetic field remains unsettled despite decades of study. We map out the phase diagram using three complementary approaches, including self-consistent nonlinear spin-wave theory, density-matrix renormalization group, and variational Monte Carlo. This combined analysis resolves the competition among different field-induced magnetic orders and magnetization plateaux across the classically frustrated parameter range. In particular, there is a finite range in the parameter regime around $J_2/J_1=\frac{1}{8}$ in which i) upon the application of the external field, the gapless quantum spin liquid acquires a finite density of monopoles, and ii) by further increasing the field, two plateaux are clearly obtained at $m=\frac{1}{3}$ and $m=\frac{1}{2}$. We discuss the experimental importance of the consecutive magnetization plateaux transitions as a signature of an underlying quantum spin-liquid phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08768 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Triangular $J_1$-$J_2$ Heisenberg Antiferromagnet in a Magnetic Field Bader, Thomas Feng, Shi Budaraju, Sasank Becca, Federico Knolle, Johannes Pollmann, Frank Strongly Correlated Electrons The behavior of the paradigmatic $J_1-J_2$ triangular lattice Heisenberg antiferromagnet in a magnetic field remains unsettled despite decades of study. We map out the phase diagram using three complementary approaches, including self-consistent nonlinear spin-wave theory, density-matrix renormalization group, and variational Monte Carlo. This combined analysis resolves the competition among different field-induced magnetic orders and magnetization plateaux across the classically frustrated parameter range. In particular, there is a finite range in the parameter regime around $J_2/J_1=\frac{1}{8}$ in which i) upon the application of the external field, the gapless quantum spin liquid acquires a finite density of monopoles, and ii) by further increasing the field, two plateaux are clearly obtained at $m=\frac{1}{3}$ and $m=\frac{1}{2}$. We discuss the experimental importance of the consecutive magnetization plateaux transitions as a signature of an underlying quantum spin-liquid phase. |
| title | Triangular $J_1$-$J_2$ Heisenberg Antiferromagnet in a Magnetic Field |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2512.08768 |