Topological Boundary States and the Edge Chain in Semi-Infinite Two-Dimensional Insulators

Ultracold atoms in an optical lattice: One-dimensional phase diagram

Topological chiral edge modes in the continuum of a trivial bulk

Chiral edge modes in topological states of matter are routinely found inside band gaps, which may be deformed and shifted as a function of the lattice momentum. Here we show that they can exist inside a bulk band instead, i.e., in the continuum. These chiral edge modes in the continuum (CEMICs) are induced by introduci...

Antidot superlattices in two-dimensional topological insulators

We investigate the electronic properties of a two-dimensional topological insulator patterned with an array of circular holes. The band structures of the topological insulator superlattices are calculated using the Bernevig-Hughes-Zhang model, discretized with the finite element method. The band topology is studied usi...

Ground-State Phase Diagram of the S = 1 Kitaev-Γ Model on a Bond-Anisotropic Honeycomb Lattice

We obtain the ground-state phase diagram of the S = 1 Kitaev-Γ model on a bond-anisotropic honeycomb lattice using exact diagonalization, density-matrix renormalization group, and infinite time-evolving block decimation. The Tomonaga–Luttinger liquid region of the S = 1/2 model is replaced by a Haldane-gap phase at d =...

Revisiting the Haldane model: features, implications and extensions.

The Haldane model is regarded as one of the most influential minimal models in topological band theory, demonstrating that a two-dimensional lattice system can exhibit a quantized Hall response without Landau levels and with zero net magnetic flux through the unit cell. In this tutorial review, we revisit the Haldane m...

Topological phase transition driven by structural defects

Structural defects, such as disclinations and dislocations, destroy the long-range crystalline order as they proliferate. In this work, we continuously drive a system from a crystalline state on a decorated honeycomb lattice to a hyperuniform amorphous state, by consecutively introducing Stone-Wales (SW) defects, which...