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| | The '''J1-J2 model''' is a [[quantum spin model]] like the [[Heisenberg model (quantum)|Heisenberg model]] but also includes a term for the interaction between next-nearest neighbor spins. |
| | |
| | ==Hamiltonian== |
| | |
| | : <math>\hat H = J_1 \sum_{\langle ij \rangle}\vec S_i \cdot \vec S_j + J_2 \sum_{\langle\langle ij \rangle\rangle} \vec S_i \cdot \vec S_j </math> |
| | |
| | ==See also== |
| | *[[Spin model]] |
| | *[[Heisenberg model (quantum)]] |
| | *[[Hubbard model]] |
| | *[[t-J model]] |
| | *[[Majumdar-Ghosh Model]] |
| | |
| | ==References== |
| | |
| | *J1-J2 model: First-order phase transition versus deconfinement of spinons Phys. Rev. B 73, 184420 (2006) [7 pages] [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRBMDO000073000018184420000001&idtype=cvips&gifs=yes] |
| | |
| | *J1-J2 model: Energy, correlations, and order-parameter fluctuations on finite lattices (1992) Phys. Rev. B 45, 7832 (1992) [http://prola.aps.org/showrefs/PRB/v45/i14/p7832_1] |
| | |
| | *Phase diagram of the frustrated spin-1/2 Heisenberg antiferromagnet in 2 dimensions (1989) Phys. Rev. Lett. 63, 2148–2151 (1989) [http://prola.aps.org/abstract/PRL/v63/i19/p2148_1] |
| | |
| | *On Next-Nearest-Neighbor Interaction in Linear Chain. I (1969) J. Math. Phys. 10, 1388 (1969); {{doi|10.1063/1.1664978}} [http://link.aip.org/link/?JMAPAQ/10/1388/1] |
| | |
| | *On Next-Nearest-Neighbor Interaction in Linear Chain. II (1969) J. Math. Phys. 10, 1399 (1969); {{doi|10.1063/1.1664979}} [http://link.aip.org/link/?JMAPAQ/10/1399/1] |
| | |
| | [[Category:Magnetism]] |
| | [[Category:Spin models]] |
| | [[Category:Quantum magnetism]] |
The J1-J2 model is a quantum spin model like the Heisenberg model but also includes a term for the interaction between next-nearest neighbor spins.
Hamiltonian
See also
References
- J1-J2 model: First-order phase transition versus deconfinement of spinons Phys. Rev. B 73, 184420 (2006) [7 pages] [1]
- J1-J2 model: Energy, correlations, and order-parameter fluctuations on finite lattices (1992) Phys. Rev. B 45, 7832 (1992) [2]
- Phase diagram of the frustrated spin-1/2 Heisenberg antiferromagnet in 2 dimensions (1989) Phys. Rev. Lett. 63, 2148–2151 (1989) [3]
- On Next-Nearest-Neighbor Interaction in Linear Chain. I (1969) J. Math. Phys. 10, 1388 (1969); 21 year-old Glazier James Grippo from Edam, enjoys hang gliding, industrial property developers in singapore developers in singapore and camping. Finds the entire world an motivating place we have spent 4 months at Alejandro de Humboldt National Park. [4]
- On Next-Nearest-Neighbor Interaction in Linear Chain. II (1969) J. Math. Phys. 10, 1399 (1969); 21 year-old Glazier James Grippo from Edam, enjoys hang gliding, industrial property developers in singapore developers in singapore and camping. Finds the entire world an motivating place we have spent 4 months at Alejandro de Humboldt National Park. [5]