On this article there are presented the main results of the theory of electron phenomena in an unordered condensed matter that can be described as an in-homogeneously deformed crystalline lattice with dislocations. The one-electron effective Hamiltonian is derived by introducing a new basis for the expansion of the sought functions. It allows to overcome the difficulty of the discontinuity of t...

We investigated the ratio of the surface superconducting field (Hc3) to the bulk superconducting field (Hc2) in MgB2 single crystals at different temperatures and at different angles between the field and the c-axis of the crystal by using electrical transport measurements. The temperature dependence of the ratio Hc3/Hc2 at different angles was qualitatively well described by a recent theory ba...

In continuation of our systematic effort to understand hadronic matter at high density, we study dense skyrmion matter and its chiral phase structure in an effective field theory implemented with the trace anomaly of QCD applicable in the large N c limit. By incorporating a dilaton field χ associated with broken conformal symmetry of QCD into the simplest form of skyrmion Lagrangian, we simulat...

Kinetic barriers cause polymers to crystallize incompletely, into nanoscale lamellae interleaved with amorphous regions. As a result, crystalline polymers are full of crystal-melt interfaces, which dominate their physical properties. The longstanding theoretical challenge to understand these interfaces has new relevance, because of accumulating evidence that polymer crystals often nucleate via ...

Bistable Liquid Crystal Displays (LCDs) offer the potential for considerable power savings, compared with conventional (monostable) LCDs. The existence of two stable field-free states that are opticallydistinct means that contrast can be maintained in a display without an externally-applied electric field. An applied field is required only to switch the device from one state to the other, as ne...

We discuss experimental studies of the interaction between a nanoscopic object and a photonic crystal membrane resonator of quality factor Q=55000. By controlled actuation of a glass fiber tip in the near field of the photonic crystal, we constructed a complete spatio-spectral map of the resonator mode and its coupling with the fiber tip. On the one hand, our findings demonstrate that scanning ...

Cerium-doped Tb(3)Al(5)O(12) (TAG:Ce(3+)) colloidal nanocrystals were synthesized by pulsed laser ablation (PLA) in de-ionized water and lauryl dimethylaminoacetic acid betain (LDA) aqueous solution for luminescent bio-labeling application. The influence of LDA molecules on the crystallinity, crystal morphology, crystallite size, and luminescent properties of the prepared TAG:Ce(3+) colloidal n...

We study the sliding state of a two-dimensional Wigner crystal in a strong magnetic field and a random impurity potential. Using a high-velocity perturbation theory, we compute the nonlinear conductivity, various correlation functions, and the interference effects arising in combined AC + DC electric effects, including the Shapiro anomaly and the linear response to an AC field. Disorder is foun...

The exact nature of the physical interactions that lead to orientational order in liquid crystalline systems is not completely understood. Such understanding is of great importance in fields ranging from the industrial use of display devices to the understanding of structure and function in biological membranes. The liquid crystal molecules themselves are large and flexible and can exist in a n...