J1 J2 model
Encyclopedia
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.
Quantum spin model
A quantum spin model is a quantum Hamiltonian model that describes a system which consists of spins either interacting or not and are an active area of research in the fields of strongly correlated electron systems, quantum information theory, and quantum computing...
like the Heisenberg model
Heisenberg model (quantum)
The Heisenberg model is a statistical mechanical model used in the study of critical points and phase transitions of magnetic systems, in which the spin of the magnetic systems are treated quantum mechanically...
but also includes a term for the interaction between next-nearest neighbor spins.
Hamiltonian
See also
- Spin modelSpin modelA spin model is a mathematical model used in physics primarily to explain magnetism. Spin models may either be classical or quantum mechanical in nature. Spin models have been studied in quantum field theory as examples of integrable models. Spin models are also used in quantum information theory...
- Heisenberg model (quantum)Heisenberg model (quantum)The Heisenberg model is a statistical mechanical model used in the study of critical points and phase transitions of magnetic systems, in which the spin of the magnetic systems are treated quantum mechanically...
- Hubbard modelHubbard modelThe Hubbard model is an approximate model used, especially in solid state physics, to describe the transition between conducting and insulating systems...
- t-J modelT-J modelThe t-J model was first derived in 1977 from the Hubbard model by Józef Spałek. The model describes strongly correlated electron systems. It is used to calculate high temperature superconductivity states in doped antiferromagnets.The t-J Hamiltonian is:...
- Majumdar-Ghosh ModelMajumdar-Ghosh ModelThe Majumdar-Ghosh model is an extension of the one-dimensional quantum Heisenberg spin model in which an extra interaction is added coupling spins two lattice spacings apart such that second-neighbor coupling half as strong the first. It is therefore a special case of the J1 J2 model...