Lieb–Schultz–Mattis–Oshikawa–Hastings theorem
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
quantum spin systems
lattice systems |
| gptkbp:extendsTo |
higher dimensions
|
| gptkbp:field |
condensed matter physics
|
| gptkbp:generalizes |
Hastings (2004)
Oshikawa (2000) |
| https://www.w3.org/2000/01/rdf-schema#label |
Lieb–Schultz–Mattis–Oshikawa–Hastings theorem
|
| gptkbp:namedAfter |
gptkb:Matthew_B._Hastings
gptkb:Elliott_H._Lieb gptkb:Daniel_C._Mattis gptkb:Theodore_D._Schultz Masaki Oshikawa |
| gptkbp:originallyFormulatedFor |
one-dimensional spin chains
|
| gptkbp:publishedIn |
gptkb:Physical_Review
|
| gptkbp:relatedTo |
quantum phase transitions
symmetry-protected topological order |
| gptkbp:requires |
gptkb:U(1)_symmetry
translational symmetry |
| gptkbp:state |
certain quantum spin systems cannot have a unique gapped ground state if the filling is fractional
|
| gptkbp:yearProposed |
1961
|
| gptkbp:bfsParent |
gptkb:Lieb–Schultz–Mattis_theorem
|
| gptkbp:bfsLayer |
7
|