Anderson topological superconductor

Topological Anderson insulator.

Disorder plays an important role in two dimensions, and is responsible for striking phenomena such as metal-insulator transition and the integral and fractional quantum Hall effects. In this Letter, we investigate the role of disorder in the context of the recently discovered topological insulator, which possesses a pair of helical edge states with opposing spins moving in opposite directions a...

Topological superconductor to Anderson localization transition in one-dimensional incommensurate lattices.

We study the competition of disorder and superconductivity for a one-dimensional p-wave superconductor in incommensurate potentials. With the increase in the strength of the incommensurate potential, the system undergoes a transition from a topological superconducting phase to a topologically trivial localized phase. The phase boundary is determined both numerically and analytically from variou...

Is a color superconductor topological ?

Theory of the topological anderson insulator.

We present an effective medium theory that explains the disorder-induced transition into a phase of quantized conductance, discovered in computer simulations of HgTe quantum wells. It is the combination of a random potential and quadratic corrections proportional to p2 sigma(z) to the Dirac Hamiltonian that can drive an ordinary band insulator into a topological insulator (having an inverted ba...

Anderson localization of light with topological dislocations

Valery E. Lobanov,1 Yaroslav V. Kartashov,1,2 Victor A. Vysloukh,3 and Lluis Torner1 1ICFO-Institut de Ciencies Fotoniques, and Universitat Politecnica de Catalunya, 08860 Castelldefels (Barcelona), Spain 2Institute of Spectroscopy, Russian Academy of Sciences, Troitsk, Moscow Region, 142190, Russia 3Departamento de Fisica y Matematicas, Universidad de las Americas–Puebla, 72820 Puebla, Mexico ...