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Finite-Size Scaling for the Two-Dimensional Frustrated Quantum Heisenberg Antiferromagnet
Abstract
Using results for the 4 × 4 and 6 × 6 lattice, we produce the first finite-size scaling analysis of the frustrated Heisenberg model in two dimensions. The results indicate a continuous phase transition from the ordered phase into an intermediate phase without long-range magnetic order, as for the (2 + 1)-dimensional nonlinear sigma-model. The intermediate phase is stable for 0.4 < J2/J1 < 0.65 and exhibits either dimerization or broken chiral symmetry. The transition to the collinear phase at J2/J1 0.65 is apparently of first order.
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Cited by
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
Senthil, T., Balents, L., Sachdev, S., Vishwanath, A., & Fisher, M. P. A. (2004) · Physical Review B · doi:10.1103/physrevb.70.144407 · Cited by 834
Bernu, B., Lecheminant, P., Lhuillier, C., & Pierre, L. (1994) · Physical Review B · doi:10.1103/physrevb.50.10048 · Cited by 406
Metadata
- Authors
- Schulz, H. J., & Ziman, T. A. L.
- Venue
- Europhysics Letters (EPL)
- Publisher
- IOP Publishing
- Published
- 1992-02-21
- Volume
- 18
- Issue
- 4
- Pages
- 355-360
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W2044498163
- Cited by
- 211
- References
- 0
- FWCI
- 9.19
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Finite-Size Scaling for the Two-Dimensional Frustrated Quantum Heisenberg Antiferromagnet. https://app.cochat.ai/papers/10.1209/0295-5075/18/4/013
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- Schulz, H. J., & Ziman, T. A. L. (1992). Finite-Size Scaling for the Two-Dimensional Frustrated Quantum Heisenberg Antiferromagnet. Europhysics Letters (EPL). https://doi.org/10.1209/0295-5075/18/4/013
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