Global InformationAKLT model information
In condensed matter physics, an AKLT model, also known as an Affleck-Kennedy-Lieb-Tasaki model is an extension of the one-dimensional quantum Heisenberg spin model. The proposal and exact solution of this model by Ian Affleck, Elliott H. Lieb, Tom Kennedy and Hal Tasaki[1] provided crucial insight into the physics of the spin-1 Heisenberg chain.[2][3][4][5] It has also served as a useful example for such concepts as valence bond solid order, symmetry-protected topological order[6][7][8][9] and matrix product state wavefunctions.
- ^ Cite error: The named reference
Affleck:1987was invoked but never defined (see the help page). - ^ Haldane, F. D. M. (1983). "Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State". Phys. Rev. Lett. 50 (15): 1153. Bibcode:1983PhRvL..50.1153H. doi:10.1103/physrevlett.50.1153.
- ^ Haldane, F. D. M. (1983). "Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model". Phys. Lett. A. 93 (9): 464. Bibcode:1983PhLA...93..464H. doi:10.1016/0375-9601(83)90631-x.
- ^ Affleck, I.; Haldane, F. D. M. (1987). "Critical theory of quantum spin chains". Phys. Rev. B. 36 (10): 5291–5300. Bibcode:1987PhRvB..36.5291A. doi:10.1103/physrevb.36.5291. PMID 9942166.
- ^ Affleck, I. (1989). "Quantum spin chains and the Haldane gap". J. Phys.: Condens. Matter. 1 (19): 3047. Bibcode:1989JPCM....1.3047A. doi:10.1088/0953-8984/1/19/001. S2CID 250850599.
- ^ Gu, Zheng-Cheng; Wen, Xiao-Gang (2009). "Tensor-Entanglement-Filtering Renormalization Approach and Symmetry-Protected Topological Order". Phys. Rev. B. 80 (15): 155131. arXiv:0903.1069. Bibcode:2009PhRvB..80o5131G. doi:10.1103/physrevb.80.155131. S2CID 15114579.
- ^ Cite error: The named reference
Pollmann:2012was invoked but never defined (see the help page). - ^ Chen, Xie; Gu, Zheng-Cheng; Wen, Xiao-Gang (2011). "Classification of Gapped Symmetric Phases in 1D Spin Systems". Phys. Rev. B. 83 (3): 035107. arXiv:1008.3745. Bibcode:2011PhRvB..83c5107C. doi:10.1103/physrevb.83.035107. S2CID 9139955.
- ^ Chen, Xie; Liu, Zheng-Xin; Wen, Xiao-Gang (2011). "2D symmetry-protected topological orders and their protected gapless edge excitations". Phys. Rev. B. 84 (23): 235141. arXiv:1106.4752. Bibcode:2011PhRvB..84w5141C. doi:10.1103/physrevb.84.235141. S2CID 55330505.