Seidel Alexander, Fu Henry, Lee Dung-Hai, Leinaas Jon Magne, Moore Joel
Department of Physics, University of California at Berkeley, 94720, USA.
Phys Rev Lett. 2005 Dec 31;95(26):266405. doi: 10.1103/PhysRevLett.95.266405. Epub 2005 Dec 27.
In this Letter, we investigate a class of Hamiltonians which, in addition to the usual center-of-mass 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 and 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.
