t-J model
E487030
The t-J model is a theoretical framework in condensed matter physics used to describe strongly correlated electrons on a lattice, particularly in the study of high-temperature superconductivity.
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
lattice model
ⓘ
model in condensed matter physics ⓘ theoretical model ⓘ |
| appliesTo | electrons on a lattice ⓘ |
| assumes |
low-energy subspace without doubly occupied sites
ⓘ
strong on-site Coulomb repulsion ⓘ |
| captures |
competition between magnetism and superconductivity
ⓘ
effects of hole doping in Mott insulators ⓘ |
| derivedFrom | Hubbard model in the large-U limit ⓘ |
| describes | strongly correlated electrons ⓘ |
| describesPhase |
antiferromagnetic order
ⓘ
spin liquid states ⓘ stripe phases ⓘ superconducting order ⓘ |
| energyScaleCondition | J much smaller than t ⓘ |
| field |
condensed matter physics
ⓘ
theoretical physics ⓘ |
| HamiltonianContains |
Heisenberg exchange term
ⓘ
projected hopping term ⓘ |
| hasParameter |
J
ⓘ
t ⓘ |
| includesConstraint | no double occupancy ⓘ |
| includesInteraction |
nearest-neighbor hopping
ⓘ
nearest-neighbor spin exchange ⓘ |
| motivatedBy | discovery of high-Tc cuprate superconductors ⓘ |
| reducesTo | Heisenberg model at half-filling ⓘ |
| relatedConcept |
Gutzwiller projection
NERFINISHED
ⓘ
projected Hilbert space ⓘ |
| relatedTo |
Heisenberg model
NERFINISHED
ⓘ
Hubbard model NERFINISHED ⓘ |
| relevantTo |
copper-oxide planes in cuprates
ⓘ
cuprate superconductors ⓘ |
| studiedUsing |
density matrix renormalization group
NERFINISHED
ⓘ
exact diagonalization ⓘ quantum Monte Carlo methods ⓘ slave-boson mean-field theory ⓘ variational wave functions ⓘ |
| symbol_J_represents | antiferromagnetic exchange interaction ⓘ |
| symbol_t_represents | electron hopping amplitude ⓘ |
| typicalLattice |
square lattice
ⓘ
two-dimensional lattice ⓘ |
| usedFor |
study of doped Mott insulators
ⓘ
study of high-temperature superconductivity ⓘ study of strongly correlated electron systems ⓘ |
| yearIntroducedApprox | late 1980s ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.