Featureless Mott Insulators

Abstract

A family of the pair hopping models exhibiting the incompressible quantum liquid at fractional filling $1/m^D$ is constructed in $D$ dimensional lattice. Except in one dimension, the lattice is the generalized edge-shared triangular lattice, for example the triangular lattice in two dimensions and tetrahedral lattice in three dimensions. They obey the new symmetry, conservation of the center-of-mass position proposed by Seidel et al..\cite{Seidel2005} The uniqueness of the ground state is proved rigorously in the open boundary condition. The finiteness of the excitation energy is calculated by the single mode approximation.

12 pages, 5 figures, the detail version of Physical Review Letters 98, 066804 (2007)

References in corpus (1)

• New family of models for incompressible quantum liquids in $d\ge 2$

Cited by in corpus (4)

• Pseudopotential Formalism for Fractional Chern Insulators
• Fractional Quantum Hall States on CP2 Space
• Deconfined Fractionally Charged Excitation in Any Dimensions
• Exact Mappings in Condensed Matter Physics