Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-12-10
Phys. Rev B 81, 115123 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
12 pages, 5 figures, the detail version of Physical Review Letters 98, 066804 (2007)
Scientific paper
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.
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