Zero-energy modes in a super-chiral nanographene network of phenalenyl-tessellation molecules

Critical Delocalization of Chiral Zero Energy Modes in Graphene.

Graphene subjected to chiral-symmetric disorder is believed to host zero energy modes (ZEMs) resilient to localization, as suggested by the renormalization group analysis of the underlying nonlinear sigma model. We report accurate quantum transport calculations in honeycomb lattices with in excess of 10^{9} sites and fine meV resolutions. The Kubo dc conductivity of ZEMs induced by vacancy defe...

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A SUPER ZERO-REST-MASS-EQUATION

Various authors have considered the Zero-rest-mass equation and the contour integral representation of its solutions. Ferber generalized these equations to supertwistor spaces with 2N odd components so that with N=O we get the standard ungraded twistors of Penrose. In this paper we use the Batchelor theorem toconstruct the natural super Twistor space with coarse topology with underlying sta...

Topological zero-dimensional photonic modes in chiral coupled-cavity arrays

*Correspondence: vyannop@mail.ntua.gr Department of Physics, National Technical University of Athens, Athens, 157 80, Greece Abstract We show theoretically that a properly chosen one-dimensional array of coupled photonic resonators (cavities) may possess localized zero-dimensional topological modes bearing resemblance with the corresponding edge modes/Majorana states in semiconductor nanowires ...

Properties of near - zero modes and chiral symmetry breaking

We study localization and chirality properties of eigenvectors of the lattice Dirac operator. In particular we focus on the dependence of our observables on the size of the corresponding eigenvalue, which allows us to study the transition of a near-zero mode into a bulk mode. We analyze ensembles of quenched SU(3) configurations using a Dirac operator which is a systematic expansion in path len...