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Featureless and Non-Fractionalized Bose Insulator on the Honeycomb Lattice at 1/2 site-filling | | Itamar Kimchi
; S. A. Parameswaran
; Ari M. Turner
; Ashvin Vishwanath
; | | Date: |
2 Jul 2012 | | Abstract: | It is well known that band insulators require an integer number of electrons
(of each spin) per unit cell. Similarly, in bosonic insulators where the number
of particles per unit cell (f) is fractional, the ground state either enlarges
the unit cell, or realizes an exotic topologically ordered (fractionalized)
state. Symmetric non-fractionalized Mott insulators only appear at integer f.
However, the converse problem is relatively unexplored - is such a symmetric
non-fractionalized insulator always allowed at integer f, or can it be
prohibited by other lattice symmetries? An especially relevant example is the
honeycomb lattice - where free spinless fermions at f=1 (or, 1/2 site filling)
are always metallic, due to point group symmetries. Here we argue that bosons
at the same filling however can realize a Mott phase. We propose a wave
function for this state and by a mapping to a classical partition function we
compute its properties and demonstrate that the state is insulating, fully
symmetric and has no topological order. Thus the absence of symmetry breaking
in this case does not imply topological order. Our construction suggests that
featureless insulators are generically allowed for bosons at unit filling on
any symmorphic lattice in any dimension. | | Source: | arXiv, 1207.0498 | | Services: | Forum | Review | PDF | Favorites | |
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