Open AccessBook
Introduction to the Theory of Disordered Systems
TLDR
In this paper, the authors studied the properties of one-dimensional systems and proposed a modified perturbation theory based on the spectrum curvature and the Vicinity of the initial spectrum boundary.Abstract:
General Properties of Disordered Systems. The Density of States in One-Dimensional Systems. States, Localization, and Conductivity in One-Dimensional Systems. The Fluctuation Region of the Spectrum. Methods of Modified Perturbation Theory. The Impurity Band and the Vicinity of the Initial Spectrum Boundary. Transmission of Particles and Waves Through a Layer of a Disordered Medium. References. Index.read more
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Many-Body Physics with Ultracold Gases
TL;DR: In this article, a review of recent experimental and theoretical progress concerning many-body phenomena in dilute, ultracold gases is presented, focusing on effects beyond standard weakcoupling descriptions, such as the Mott-Hubbard transition in optical lattices, strongly interacting gases in one and two dimensions, or lowest-Landau-level physics in quasi-two-dimensional gases in fast rotation.
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Chiral tunnelling and the Klein paradox in graphene
TL;DR: In this paper, it was shown that the Klein paradox can be tested in a conceptually simple condensed-matter experiment using electrostatic barriers in single and bi-layer graphene, showing that quantum tunnelling in these materials becomes highly anisotropic, qualitatively different from the case of normal, non-relativistic electrons.
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Particles and fields in fluid turbulence
TL;DR: In this paper, the first analytical description of anomalous scaling laws in turbulent transport has been obtained and the underlying physical mechanism reveals the role of statistical integrals of motion in nonequilibrium systems.
Book
Graphene: Carbon in Two Dimensions
TL;DR: The first two-dimensional carbon material, Graphene, was only obtained very recently, immediately attracting a great deal of attention as discussed by the authors, and it has been observed that electrons behave like massless relativistic particles.
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Impurity-induced states in conventional and unconventional superconductors
TL;DR: In this article, the authors provide a unified framework for describing quasi-localized states in the vicinity of impurity sites in conventional and unconventional superconductors and show that these fluctuations affect the density of states and are, strictly speaking, gapless in the presence of an arbitrarily small concentration of magnetic impurities.