Anderson localisation in spin chains for perfect state transfer

Abstract: Anderson localisation is an important phenomenon arising in many areas of physics, andhere we explore it in the context of quantum information devices. Finite dimensional spinchains have been demonstrated to be important devices for quantum information transport,and in particular can be engineered to allow for “perfect state transfer” (PST). Here wepresent extensive investigations of disordered PST spin chains, demonstrating spatiallocalisation and transport retardation effects, and relate these effects to conventionalAnderson localisation. We provide thresholds for Anderson localisation in these finitequantum information systems for both the spatial and the transport domains. Finally, weconsider the effect of disorder on the eigenstates and energy spectrum of our Hamiltonian,where results support our conclusions on the presence of Anderson localisation. Graphical abstract: [Figure not available: see fulltext.

Weakly coupled one-dimensional Mott insulators

We consider a model of one-dimensional Mott insulators coupled by a weak interchain tunnelling $t_\perp$. We first determine the single-particle Green's function of a single chain by exact field-theoretical methods and then take the tunnelling into account by means of a Random Phase Approximation (RPA). In order to embed this approximation into a well-defined expansion with a small parameter, the Fourier transform $T_\perp(k)$ of the interchain coupling is assumed to have a small support in momentum space such that every integration over transverse wave vector yields a small factor $\kappa_0^2 \ll 1$. When \tp(0) exceeds a critical value, a small Fermi surface develops in the form of electron and hole pockets. We demonstrate that Luttinger's theorem holds both in the insulating and in the metallic phases. We find that the quasi-particle residue $Z$ increases very fast through the transition and quickly reaches a value of about $0.4-0.6$. The metallic state close to the transition retains many features of the one-dimensional system in the form of strong incoherent continua.Comment: 14 pages, 13 figure

Charity brand personality: The relationship with giving behavior

Charity brands have been found to assist income generation by enhancing donor understanding of an organization and what it stands for. Despite an increasing interest in this topic, few studies have addressed the dimensions of such brands and sought to explore the link (if any) with donor behavior. The authors report the results of a large-scale postal survey of donors to nine national nonprofits and conclude that traits associated with benevolence, progression, and conservatism are incapable of distinguishing between the study's participating brands. Traits associated with emotional engagement, service, voice, and tradition are capable of serving as the basis for differentiation and are also linked to facets of individual giving behavior. © 2008 Association for Research on Nonprofit Organizations and Voluntary Action