$J_1-J_2$ Triangular Lattice Antiferromagnet in a Magnetic Field
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| Format: | Preprint |
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2025
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| _version_ | 1866914177245773824 |
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| author | Keselman, Anna Xu, Xinyuan Zhang, Hao Batista, Cristian D. Starykh, Oleg A. |
| author_facet | Keselman, Anna Xu, Xinyuan Zhang, Hao Batista, Cristian D. Starykh, Oleg A. |
| contents | We investigate the spin-1/2 $J_1-J_2$ triangular-lattice Heisenberg antiferromagnet in a magnetic field by combining large-scale density matrix renormalization group (DMRG) simulations with self-consistent spin-wave theory. The resulting field-coupling phase diagram reveals that quantum fluctuations stabilize coplanar order across the entire parameter range, giving rise to a characteristic sequence of magnetization plateaux. Near the quantum-spin-liquid window $0.06 \lesssim J_2/J_1 \lesssim 0.14$, which extends to magnetic field $B \sim J_1$, we identify overlapping $m = 1/3$ and $m = 1/2$ plateaux - a distinctive hallmark of the system's proximity to the low-field spin-liquid regime. The excellent quantitative agreement between DMRG and self-consistent one-loop spin-wave calculations demonstrates that semiclassical approaches can reliably capture and parameterize the plateau phases of triangular quantum antiferromagnets. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_02150 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $J_1-J_2$ Triangular Lattice Antiferromagnet in a Magnetic Field Keselman, Anna Xu, Xinyuan Zhang, Hao Batista, Cristian D. Starykh, Oleg A. Strongly Correlated Electrons We investigate the spin-1/2 $J_1-J_2$ triangular-lattice Heisenberg antiferromagnet in a magnetic field by combining large-scale density matrix renormalization group (DMRG) simulations with self-consistent spin-wave theory. The resulting field-coupling phase diagram reveals that quantum fluctuations stabilize coplanar order across the entire parameter range, giving rise to a characteristic sequence of magnetization plateaux. Near the quantum-spin-liquid window $0.06 \lesssim J_2/J_1 \lesssim 0.14$, which extends to magnetic field $B \sim J_1$, we identify overlapping $m = 1/3$ and $m = 1/2$ plateaux - a distinctive hallmark of the system's proximity to the low-field spin-liquid regime. The excellent quantitative agreement between DMRG and self-consistent one-loop spin-wave calculations demonstrates that semiclassical approaches can reliably capture and parameterize the plateau phases of triangular quantum antiferromagnets. |
| title | $J_1-J_2$ Triangular Lattice Antiferromagnet in a Magnetic Field |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2512.02150 |