Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
quantum spin chain
integrable model |
| gptkbp:application |
gptkb:statistical_mechanics
quantum information quantum magnetism |
| gptkbp:dimensions |
one-dimensional
|
| gptkbp:feature |
algebraic Bethe ansatz
quantum phase transitions exactly solvable finite temperature properties quantum integrability spin-1/2 particles entanglement entropy correlation functions lattice model finite-size scaling spin transport quantum group symmetry Jordan-Wigner transformation Luttinger liquid (for -1 < Δ < 1) Yang-Baxter equation antiferromagnetic and ferromagnetic phases conformal field theory (at criticality) critical behavior finite-size corrections gapless and gapped phases magnetization plateaus nearest-neighbor interaction open and periodic boundary conditions quantum critical point quantum quench dynamics quantum transfer matrix spinon excitations string hypothesis |
| gptkbp:field |
condensed matter physics
mathematical physics |
| gptkbp:Hamiltonian |
H = J ∑ (S_i^x S_{i+1}^x + S_i^y S_{i+1}^y + Δ S_i^z S_{i+1}^z)
|
| https://www.w3.org/2000/01/rdf-schema#label |
XXZ spin chain
|
| gptkbp:limitation |
Ising model (Δ → ∞)
XX model (Δ = 0) XXX model (Δ = 1) |
| gptkbp:parameter |
anisotropy parameter Δ
|
| gptkbp:relatedTo |
gptkb:Bethe_ansatz
gptkb:Heisenberg_model |
| gptkbp:solvedBy |
gptkb:Bethe_ansatz
|
| gptkbp:studiedBy |
gptkb:Hans_Bethe
gptkb:Rodney_Baxter gptkb:Ludwig_Faddeev |
| gptkbp:symmetry |
gptkb:U(1)_symmetry
|
| gptkbp:bfsParent |
gptkb:Baxter_equation
|
| gptkbp:bfsLayer |
7
|