Statistical properties of localisation--delocalisation transition in one dimension

We study a one-dimensional model of disordered electrons (also relevant for random spin chains), which exhibits a delocalisation transition at half-filling. Exact probability distribution functions for the Wigner time and transmission coefficient are calculated. We identify and distinguish those features of probability densities that are due to rare, trapping configurations of the random potential from those which are due to the proximity to the delocalisation transition.Comment: 4 pages, RevTeX, 1 fi

Fate of many-body localization under periodic driving

We study many-body localised quantum systems subject to periodic driving. We find that the presence of a mobility edge anywhere in the spectrum is enough to lead to delocalisation for any driving strength and frequency. By contrast, for a fully localised many-body system, a delocalisation transition occurs at a finite driving frequency. We present numerical studies on a system of interacting one-dimensional bosons and the quantum random energy model, as well as simple physical pictures accounting for those results

Internationalisation : threat or opportunity for the survival of the Italian district model?

National borders in Europe have been opening since 1992 and the Union is expanding to embrace more countries prompting enterprises to consider alternative and more attractive locations outside their home country to handle part of their activities (Van Dijk and Pellenbarg, 2000; Cantwell and Iammarino, 2002). International relocation is becoming more and more popular even for small and medium-sized firms that are involved in a growing internationalisation process, mirroring the path of multinational enterprises. Italy, like other industrialised countries, is experiencing a fragmentation of the production chain: firms tend to shift high labour-intensive manufacturing activities to areas characterised by an abundance of low-cost labour (i.e. Central Eastern Europe, India, South East Asia, Latin America, Russia and Central Asia). The internationalisation process by Italian district SMEs has assumed significant dimensions. It has become a relevant topic in recent economic debate because of its consequences for the local context and, in particular, the implication for the survival of the Italian district model (see, among others, Becattini, 2002; Rullani, 1998 and Cor, 2000). The purpose of the paper is twofold: it aims at (i) identifying the managerial approaches to the internationalisation process adopted by the Italian district SMEs and by the Industrial District (ID) itself and (ii) at investigating whether the international delocalisation to the South Eastern European countries (SEECs) constitutes a threat or an opportunity for the Italian district model. The paper is organised as follows. The general introduction is followed by a description of the evolution of the internationalisation processes in Italy over the last three decades. Section three presents a discussion of the internationalisation strategies adopted by Italian SMEs. Section four focuses on the internationalisation process of the Italian industrial districts SMEs. A review of the studies on the subject is offered in section five. Section six presents a qualitative study on the internationalisation process as undergone by sports shoes manufacturers in the Montebelluna district, in north-east Italy. This study shows different managerial strategies to the internationalisation process and emphasises that the motivations can evolve over time, from originally cost-saving to increasingly market-oriented or global strategies. On the basis of a literature review, section seven investigates whether internationalisation constitutes a threat (i.e. loss of jobs and knowledge) or an opportunity (i.e. enlargement of the ID, update district s competitiveness) for the district model. Finally, some summarising remarks in section eight conclude the paper

Delocalisation transition in quasi-1D models with correlated disorder

We introduce a new approach to analyse the global structure of electronic states in quasi-1D models in terms of the dynamics of a system of parametric oscillators with time-dependent stochastic couplings. We thus extend to quasi-1D models the method previously applied to 1D disordered models. Using this approach, we show that a ``delocalisation transition'' can occur in quasi-1D models with weak disorder with long-range correlations.Comment: 33 pages, no figure

Generalised Marcus Theory for Multi-Molecular Delocalised Charge Transfer

Although Marcus theory is widely used to describe charge transfer in molecular systems, in its usual form it is restricted to transfer from one molecule to another. If a charge is delocalised across multiple donor molecules, this approach requires us to treat the entire donor aggregate as a unified supermolecule, leading to potentially expensive quantum-chemical calculations and making it more difficult to understand how the aggregate components contribute to the overall transfer. Here, we show that it is possible to describe charge transfer between groups of molecules in terms of the properties of the constituent molecules and couplings between them, obviating the need for expensive supermolecular calculations. We use the resulting theory to show that charge delocalisation between molecules in either the donor or acceptor aggregates can enhance the rate of charge transfer through a process we call supertransfer (or suppress it through subtransfer). The rate can also be enhanced above what is possible with a single molecule by judiciously tuning energy levels and reorganisation energies. We also describe bridge-mediated charge transfer between delocalised molecular aggregates. The equations of generalised Marcus theory are in closed form, providing qualitative insight into the impact of delocalisation on charge dynamics in molecular systems