Back to Search
Start Over
Non-Abelian fractional quantum Hall states for hard-core bosons in one dimension.
- Source :
-
Physical Review B: Condensed Matter & Materials Physics . May2012, Vol. 85 Issue 19, p1-7. 7p. - Publication Year :
- 2012
-
Abstract
- I present a family of one-dimensional bosonic liquids analogous to non-Abelian fractional quantum Hall states. A new quantum number is introduced to characterize these liquids, the chiral momentum, which differs from the usual angular or linear momentum in one dimension. As their two-dimensional counterparts, these liquids minimize a ¿-body hard-core interaction with the minimum total chiral momentum. They exhibit global order, with a hidden organization of the particles in k identical copies of a one-dimensional Laughlin state. For k = 2 the state is a p-wave paired phase corresponding to the Pfaffian quantum Hall state. By imposing conservation of the total chiral momentum, an exact parent Hamiltonian is derived which involves long-range tunnehng and interaction processes with an amplitude decaying with the chord distance. This family of non-AbeUan liquids is shown to be in formal correspondence with a family of spin-j liquids which are total singlets made out of k indistinguishable resonating valence bond states. The corresponding spin Hamiltonians are obtained. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10980121
- Volume :
- 85
- Issue :
- 19
- Database :
- Academic Search Index
- Journal :
- Physical Review B: Condensed Matter & Materials Physics
- Publication Type :
- Academic Journal
- Accession number :
- 77635417
- Full Text :
- https://doi.org/10.1103/PhysRevB.85.195150