The discovery of the quantum spin Hall effect and topological insulators more than a decade
ago has revolutionized modern condensed matter physics. Today, the field of topological …

Topological insulators are new states of quantum matter which cannot be adiabatically
connected to conventional insulators and semiconductors. They are characterized by a full …

Two gapped quantum ground states in the same phase are connected by an adiabatic
evolution which gives rise to a local unitary transformation that maps between the states. On …

Recently, topological insulator materials have been theoretically predicted and
experimentally observed in both 2D and 3D systems. We first review the basic models and …

We propose general topological order parameters for interacting insulators in terms of the
Green's function at zero frequency. They provide a unified description of various interacting …

Topological insulators have become one of the most active research areas in condensed
matter physics. This article reviews progress on the topic of electronic correlation effects in …

We consider the Kane-Mele model supplemented by a Hubbard U term. The phase diagram
is mapped out using projective auxiliary field quantum Monte Carlo simulations. The …

A direct signature of electron transport at the metallic surface of a topological insulator is the
Aharonov-Bohm oscillation observed in a recent study of Bi 2 Se 3 nanowires [Peng, Nature …

We propose a topological order parameter for interacting topological insulators, expressed
in terms of the full Green's functions of the interacting system. We show that it is exactly …

We prove that the Kane-Mele-Hubbard model with purely imaginary next-nearest-neighbor
hoppings has a particle-hole symmetry at half filling. Such a symmetry has interesting …