TY - JOUR
T1 - Abelian and non-abelian hall liquids and charge-density wave
T2 - Quantum number fractionalization in one and two dimensions
AU - Seidel, Alexander
AU - Lee, Dung Hai
PY - 2006
Y1 - 2006
N2 - Previously, we have demonstrated that, on a torus, the Abelian quantum Hall liquid is adiabatically connected to a charge-density wave as the smaller dimension of the torus is varied. In this work, we extend this result to the non-Abelian bosonic Hall state. The outcome of these works is the realization that the paradigms of quantum number fractionalization in one dimension (polyacetylene) and two dimensions (fractional quantum Hall effect) are, in fact, equivalent.
AB - Previously, we have demonstrated that, on a torus, the Abelian quantum Hall liquid is adiabatically connected to a charge-density wave as the smaller dimension of the torus is varied. In this work, we extend this result to the non-Abelian bosonic Hall state. The outcome of these works is the realization that the paradigms of quantum number fractionalization in one dimension (polyacetylene) and two dimensions (fractional quantum Hall effect) are, in fact, equivalent.
UR - https://www.scopus.com/pages/publications/33746786819
U2 - 10.1103/PhysRevLett.97.056804
DO - 10.1103/PhysRevLett.97.056804
M3 - Article
AN - SCOPUS:33746786819
SN - 0031-9007
VL - 97
JO - Physical Review Letters
JF - Physical Review Letters
IS - 5
M1 - 056804
ER -