A Green's function approach to transmission of massless Dirac fermions in graphene through an array of random scatterers

We consider the transmission of massless Dirac fermions through an array of short range scatterers which are modeled as randomly positioned $\delta$- function like potentials along the x-axis. We particularly discuss the interplay between disorder-induced localization that is the hallmark of a non-relativistic system and two important properties of such massless Dirac fermions, namely, complete transmission at normal incidence and periodic dependence of transmission coefficient on the strength of the barrier that leads to a periodic resonant transmission. This leads to two different types of conductance behavior as a function of the system size at the resonant and the off-resonance strengths of the delta function potential. We explain this behavior of the conductance in terms of the transmission through a pair of such barriers using a Green's function based approach. The method helps to understand such disordered transport in terms of well known optical phenomena such as Fabry Perot resonances.Comment: 22 double spaced single column pages. 15 .eps figure

A Bayesian Multi-Level Factor Analytic Model of Consumer Price Sensitivities Across Categories

cross category analysis, related categories, price sensitivity, multivariate probit, Bayesian factor analysis, heterogeneity, MCMC procedures, Metropolis–Hastings algorithm,

Sex, gender, and decisions at the family -> work interface

What is the linkage between individuals’ sex and the interface between their work and family roles? The answer to this question is by no means straightforward as gender roles, work roles, and family roles evolve. To address the question, the authors examine the influence of family-domain factors on work-domain decisions and their linkages to sex and gender. According to the logic of appropriateness, a theory of decision making, people develop and apply rules in decision-making situations that are consistent with their personal identities. The authors identify three broad types of decisions in the work domain—role entry, participation, and exit decisions—that may be influenced by factors in the family domain according to such rules. Next, they review the literature on the linkage between individuals’ sex and an example of each of these types of decisions: the role entry decision about whether to start a business, the role participation decision about the number of hours to devote to one’s job or business, and the role exit decision about whether to quit a job. The review suggests that (a) family-domain factors mediate effects of sex on work-domain decisions and (b) sex moderates relationships between family-domain factors and work-domain decisions. Based on the review, the authors offer a model of the linkages among sex, family-domain factors, and work-domain decisions that incorporates constructs from theories of the psychology of gender (femininity) and identity theories (family role salience). Finally, the authors offer guidelines for future theory and research to test and extend the model