title: The random mass Dirac model and long-range correlations on an integrated optical platform.
abstract: Long-range correlation--the non-local interdependence of distant events--is a crucial feature in many natural and artificial environments. In the context of solid state physics, impurity spins in doped spin chains and ladders with antiferromagnetic interaction are a prominent manifestation of this phenomenon, which is the physical origin of the unusual magnetic and thermodynamic properties of these materials. It turns out that such systems are described by a one-dimensional Dirac equation for a relativistic fermion with random mass. Here we present an optical configuration, which implements this one-dimensional random mass Dirac equation on a chip. On this platform, we provide a miniaturized optical test-bed for the physics of Dirac fermions with variable mass, as well as of antiferromagnetic spin systems. Moreover, our data suggest the occurence of long-range correlations in an integrated optical device, despite the exclusively short-ranged interactions between the constituting channels.
authors: Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany. robert.keil@uni-jena.de
authors: Robert
authors: R
authors: Keil
authors: Julia M
authors: JM
authors: Zeuner
authors: Felix
authors: F
authors: Dreisow
authors: Matthias
authors: M
authors: Heinrich
authors: Andreas
authors: A
authors: Tünnermann
authors: Stefan
authors: S
authors: Nolte
authors: Alexander
authors: A
authors: Szameit