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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

In this model, the term J_1 represents the usual nearest-neighbor interaction as seen in the Heisenberg model, and J_2 represents the exchange interaction to the ''next'' nearest-neighbor. : \hat H = J_1 \sum_\vec S_i \cdot \vec S_j + J_2 \sum_ \vec S_i \cdot \vec S_j


See also

* Spin model *
Heisenberg model (quantum) The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions of magnetic systems, in which the spins of the magnetic systems are treated quantum me ...
*
Hubbard model The Hubbard model is an approximate model used to describe the transition between conducting and insulating systems. It is particularly useful in solid-state physics. The model is named for John Hubbard. The Hubbard model states that each ...
* t-J model * Majumdar–Ghosh model


References

* * * * *{{cite journal, last1=Majumdar, first1=Chanchal K., last2=Ghosh, first2=Dipan K., title=On Next‐Nearest‐Neighbor Interaction in Linear Chain. II, journal=Journal of Mathematical Physics, volume=10, issue=8, year=1969, pages=1399–1402, issn=0022-2488, doi=10.1063/1.1664979 Spin models Quantum magnetism