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The random mass Dirac model and long-range correlations on an integrated optical platform

: Keil, Robert; Zeuner, Julia M.; Dreisow, Felix; Heinrich, Matthias; Tünnermann, Andreas; Nolte, Stefan; Szameit, Alexander


Nature Communications 4 (2013), Art.1368
ISSN: 2041-1723
Journal Article
Fraunhofer IOF ()
physical sciences; applied physics; condensed matter; optical physic

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.