Nonlinear optical response in two-dimensional Mott insulators

Topological Bose-Mott insulators in a one-dimensional optical superlattice.

We study topological properties of the Bose-Hubbard model with repulsive interactions in a one-dimensional optical superlattice. We find that the Mott insulator states of the single-component (two-component) Bose-Hubbard model under fractional fillings are topological insulators characterized by a nonzero charge (or spin) Chern number with nontrivial edge states. For ultracold atomic experiment...

Nonlinear Optical Response of SDW Insulators

We calculate the third order nonlinear optical response in the Hubbard model within the spin density wave (SDW) mean field ansatz in which the gap is due to onsite Coulomb repulsion. We obtain closed-form analytical results in one dimension (1D) and two dimension (2D), which show that nonlinear optical response in SDW insulators in 2D is stronger than both 3D and 1D. We also calculate the two p...

Dynamical Properties of one dimensional Mott Insulators

At low energies the charge sector of one dimensional Mott insulators can be described in terms of a quantum Sine-Gordon model (SGM). Using exact results derived from integrability it is possible to determine dynamical properties like the frequency dependent optical conductivity. We compare the exact results to perturbation theory and renormalisation group calculations. We also discuss the appli...

Nonlinear spin-thermoelectric transport in two-dimensional topological insulators

Sun-Yong Hwang,1,2 Rosa López,1,3 Minchul Lee,4 and David Sánchez1,3 1Institut de Fı́sica Interdisciplinària i Sistemes Complexos IFISC (CSIC-UIB), E-07122 Palma de Mallorca, Spain 2Pohang University of Science and Technology (POSTECH), Pohang 790-784, Korea 3Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030, USA 4Department of Applied Physic...

Title Topological Bose-Mott Insulators in a One-Dimensional Optical Superlattice