2009/12/31 by Chyh-Hong Chern · 1 citation
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Compressibility #Condensed matter physics #Excitation #Geometry #Hexagonal lattice #Lattice (music) #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Tetrahedron #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.81.115123
published as Phys. Rev B 81, 115123 (2010) · 12 pages, 5 figures, the detail version of Physical Review Letters 98, 066804 (2007)
arxiv created 2010/02/23 · openalex publication_date 2010/03/17 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A family of the pair hopping models exhibiting the incompressible quantum liquid at fractional filling 1/mD 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 symmetry, conservation of the center-of-mass position proposed by Seidel et al. [Phys. Rev. Lett. 95, 266405 (2005)]. The finiteness of the excitation energy is calculated by the single mode approximation.