Generalized quantization condition for topological insulators

Symmetry breaking and Landau quantization in topological crystalline insulators

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. In the recently discovered topological crystalline insulators SnTe and Pb 1−x Sn x (Te, Se), crystal symmetry and e...

Topological order parameters for interacting topological insulators.

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 quantized for a time-reversal invariant topological insulator, and it can be experimentally measured through the topological magneto-electric effect. This topological order parameter can be applied to both interac...

Topological insulators

Floquet topological insulators for sound

The unique conduction properties of condensed matter systems with topological order have recently inspired a quest for the similar effects in classical wave phenomena. Acoustic topological insulators, in particular, hold the promise to revolutionize our ability to control sound, allowing for large isolation in the bulk and broadband one-way transport along their edges, with topological immunity...

Smooth gauge for topological insulators

We develop a technique for constructing Bloch-like functions for 2D Z2 insulators (i.e., quantum spinHall insulators) that are smooth functions of k on the entire Brillouin-zone torus. As the initial step, the occupied subspace of the insulator is decomposed into a direct sum of two “Chern bands,” that is, topologically nontrivial subspaces with opposite Chern numbers. This decomposition remain...