1303.3572 (Peng Ye et al.)

3-dimensional bosonic topological insulators and its exotic
electromagnetic response    [PDF]

Peng Ye, Xiao-Gang Wen

Recently, many new types of bosonic symmetry-protected topological phases, including bosonic topological insulators, were predicted using group cohomology theory. The bosonic topological insulators have both U(1) symmetry (particle number conservation) and time-reversal symmetry, described by symmetry group $U(1)\rtimes Z_2^T$. In this paper, we propose a projective construction of three-dimensional correlated bosonic state with $U(1)\rtimes Z_2^T$ symmetry. The bosonic state is formed by eight kinds of charge-1 bosons. We show that, in our bosonic state, a monople with a unit magnetic charge is fermionic while a dyon with a unit magnetic charge and a unit electric charge is bosonic. This indecates that the constructed bosonic state is a non-trivial bosonic topological insulator, since in a trivial bosonic Mott insulator, the monople is bosonic while the dyon is fermionic.

View original: http://arxiv.org/abs/1303.3572