Nonlocal Edge State Transport in Topological Insulators

We use the N-terminal scheme for studying the edge state transportin in two-dimensional topological insulators. We find the universal nonlocal response in the ballistic transport approach. This macroscopic exhibition of the topological order offers different areas for applications.Comment: Updated to published versio

Where do braid statistics and discrete motion meet each other?

We consider limitations of dynamics and statistics in the systems that are characterized by phase states with macroscopically large degree of degeneracy of the ground state. One of challenging phase states of this type nowadays is condensate in the form of the string-ne

Monopolistic competition and income dispersion

We develop a model of monopolistic competition that accounts for consumers' heterogeneity in both incomes and preferences. This model makes it possible to study the implications of income redistribution on the toughness of competition. We show how the market outcome depends on the joint distribution of consumers' tastes and incomes and obtain a closed-form solution for a symmetric equilibrium. Competition toughness is measured by the weighted average elasticity of substitution. Income redistribution generically affects the market outcome, even when incomes are redistributed across consumers with different tastes in a way such that the overall income distribution remains the same