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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&ndash;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]]

Revision as of 09:57, 20 September 2013

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

H^=J1∑⟨ij⟩S→i⋅S→j+J2∑⟨⟨ij⟩⟩S→i⋅S→j

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]
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