Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2005-09-05
Phys. Rev. Lett. 95, 266405 (2005)
Physics
Condensed Matter
Strongly Correlated Electrons
updated version, to be published by PRL
Scientific paper
10.1103/PhysRevLett.95.266405
In this letter we investigate a class of Hamiltonians which, in addition to the usual center-of-mass (CM) momentum conservation, also have center-of-mass position conservation. We find that regardless of the particle statistics, the energy spectrum is at least q-fold degenerate when the filling factor is $p/q$, where $p$ and $q$ are coprime integers. Interestingly the simplest Hamiltonian respecting this type of symmetry encapsulates two prominent examples of novel states of matter, namely the fractional quantum Hall liquid and the quantum dimer liquid. We discuss the relevance of this class of Hamiltonian to the search for featureless Mott insulators.
Fu Henry
Lee Dung-Hai
Leinaas Jon Magne
Moore Joel
Seidel Alexander
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