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Phase diagram of the frustrated spin-1/2 Heisenberg antiferromagnet in 2 dimensions
Abstract
Using a Lanczos technique we study the frustrated spin-(1/2 Heisenberg model on square lattices of 16 and 20 sites. Frustration is introduced by an interaction along the diagonals of the plaquettes with coupling ${J}_{2}$\ensuremath{\ge}0. For large ${J}_{2}$ we found that the ground state breaks (spontaneously) the lattice rotational symmetry. For intermediate values of ${J}_{2}$, the squares of order parameters associated with spin-Peierls and ``twisted'' states have a peak while a similar quantity for a chiral state shows no interesting structure.
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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
Sandvik, A. W. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.227202 · Cited by 517
Spin-Peierls, valence-bond solid, and Néel ground states of low-dimensional quantum antiferromagnets
Read, N., & Sachdev, S. (1990) · Physical Review B · doi:10.1103/physrevb.42.4568 · Cited by 493
Three-sublattice order in triangular- and Kagomé-lattice spin-half antiferromagnets
Singh, R. R. P., & Huse, D. A. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.1766 · Cited by 326
Metadata
- Authors
- Dagotto, E., & Moreo, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1989-11-06
- Volume
- 63
- Issue
- 19
- Pages
- 2148-2151
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2027420007
- Cited by
- 330
- References
- 0
- FWCI
- 11.75
- Type
- journal article
- Language
- en
- Open access
- closed
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- Dagotto, E., & Moreo, A. (1989). Phase diagram of the frustrated spin-1/2 Heisenberg antiferromagnet in 2 dimensions. Physical Review Letters. https://doi.org/10.1103/physrevlett.63.2148
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