Within the framework of Drude dispersive model, we predict an unusual nonmonotonic temperature dependence Casimir force for thin metal films. For certain conditions, this decreases with due to decrease metallic conductivity, whereas increases at high temperatures increase thermal radiation pressure. We consider attraction a film to: either (i) bulk ideal planar boundary, or (ii) sphere (lens). The experimental observation predicted decreasing can put end long-standing discussion on role...

We develop a theory of Coulomb drag in ultraclean double layers with strongly correlated carriers. In the regime where equilibration length electron liquid is shorter than interlayer spacing main contribution to arises from hydrodynamic density fluctuations. The latter consist plasmons driven by fluctuating longitudinal stresses, and diffusive modes caused temperature fluctuations thermal expansion liquid. express resistivity terms kinetic coefficients fluid. Our results are nonperturbative...

Linear surface and waveguide modes with transverse magnetic polarization propagating in a slab of layered superconductor uniform dielectric environment are studied theoretically. It is assumed that the superconducting layers orthogonal to waves propagate perpendicular layers. Dispersion relations obtained for symmetric antisymmetric respect field. shown dispersion these anomalous within certain range frequencies wave numbers. The conditions under which group velocity goes zero found.

We study the emergent proximity effect in mesoscopic circuits that involve a conventional superconductor and an unconventional pnictide separated by diffusive normal or ferromagnetic wire. The focus is placed on revealing signatures of proposed ${s}_{+\ensuremath{-}}$ state pnictides from proximity-induced density states Josephson current. find analytically universal result for exhibits both Thouless gap at low energies peculiar features near superconducting edges higher energies. latter may...

We study theoretically the optic transmission through a slab of layered superconductor separated from two dielectric leads by spatial gaps. Based on transfer matrix formalism along with Josephson plasma electrodynamic approach, we derive analytic expressions for transmittance and identify conditions perfect transmission. The special interest is focused resonant transmission, which occurs when wave does not propagate in Far resonance, exponentially small due to total internal reflection...

In this work we study magnetotransport properties in electronic double layers of strongly correlated electron liquids. For sufficiently clean high-mobility samples, the high-temperature regime transport these systems can be described pure hydrodynamic terms. We concentrate on magnetic field dependence longitudinal drag effect mediated by interlayer Coulomb scattering and identify several mechanisms transresistance which is caused viscous flows, magnetoplasmon resonance, dissipative thermal...

We analyze the signum-generation method for creating random dichotomic sequences with prescribed correlation properties. The is based on a binary mapping of convolution continuous numbers some function originated from Fourier transform correlator. goal our study to reveal conditions under which one can construct given pair Our results be used in construction superlattices and waveguides selective transport

We predict a distinct nonlinear electromagnetic phenomenon in layered superconducting slabs irradiated from one side by an plane wave. show that the reflectance and transmittance of slab can vary over wide range, nearly 0 to 1, when changing incident wave amplitude. Thus amplitude induce either total transmission or reflection In addition, dependence superconductor on has unusual hysteretic behavior with jumps. This remarkable effect (self-induced transparency) be observed even at small...

The transmission of THz electromagnetic waves via a slab layered superconductor in the presence dc magnetic field ${H}_{0}$ is theoretically studied. We demonstrate that external turns into nonuniform medium with spatially and frequency-dependent dielectric permittivity. Even relatively weak field, when Meissner state, significantly affects transmittance superconductor. Moreover, proper choice can provide perfect transparency slab. In addition, changes dependence on thickness, frequency,...

A theory of additive Markov chains with long-range memory, proposed earlier in Phys.Rev. E 68, 06117 (2003), is developed and used to describe statistical properties correlated systems.The convenient characteristics such systems, a memory function, its relation the correlation systems are examined.Various methods for finding function via proposed.The inverse problem (calculation by means prescribed function) also solved.This demonstrated analytically solvable model system step-wise function.

One-dimensional electrons with a linearized dispersion relation are equivalent to collection of harmonic plasmon modes, which represent long wavelength density oscillations. An immediate consequence this Luttinger model one-dimensional electron systems is the absence inelastic scattering processes responsible for relaxation nonequilibrium states. In generic nonlinear liquid plasmons may decay and thus acquire finite lifetime. We show that equilibration hierarchical has profound implications...

We propose an efficient iterative method for generating random correlated binary sequences with a prescribed correlation function. The is based on consecutive linear modulations of initially uncorrelated sequence into one. Each step modulation increases the correlations until desired level has been reached. robustness and efficiency proposed algorithm are tested by inverse power-law correlations. substantial increase in strength respect to single-step filtering generation shown all studied...

We consider here a layered superconductor subject to an externally applied moderately strong electromagnetic field. predict hysteretic jumps in the dependence of surface reactance on amplitude ${H}_{0}$ incident wave. This very unusual nonlinear phenomenon can be observed thin superconducting slabs at not ac amplitudes if frequency irradiating field is close Josephson plasma frequency. Using set coupled sine-Gordon equations, we derive expression for phase shift $\ensuremath{\chi}$ reflected...

Locally-gated single-layer graphene sheets have unusual discrete energy states inside the potential barrier induced by a finite-width gate. These are localized outside Dirac cone of continuum and responsible for novel quantum transport phenomena. Specifically, longitudinal (along barrier) conductance exhibits oscillations as function height and/or width, which both controlled nearby The origin these can be traced back to singularities in density states. conductance-oscillations resemble...

We show that layered superconductors, due to their peculiar nonlinear response a weak dc magnetic field, behave as tunable hyperbolic media within wide terahertz range. Thereby, various attractive phenomena intrinsic in materials can be controlled by field. In particular, this work resonant transparency of superconductor induced the excitation localized waves with nonmonotonic dispersion, is studied. reveal field able adjust electromagnetic properties order observe specific twin peaks...

We predict and study theoretically a new nonlinear electromagnetic phenomenon in sample of layered superconductor finite length placed waveguide with ideal walls. Two geometries are considered here: the superconducting layers parallel or perpendicular to axis. show that transmittance slab can vary over wide range, from nearly zero one, when changing amplitude incident wave. Thus, one induce total transmission reflection wave by simply its amplitude. Moreover, dependence on has hysteretic...

Two approaches to studying the correlation functions of binary Markov sequences are considered. The first them is based on study probability occurring different "words" in sequence. other one uses recurrence relations for functions. These methods applied two important particular classes chains. include chains with permutative conditional and additive small memory exciting property self-similarity (discovered Phys. Rev. Lett.90, 110601 (2003) chain step-wise function) proved be intrinsic any...

The reflection of transverse-electric and transverse-magnetic polarized waves from the surface a semi-infinite layered superconductor in presence external dc magnetic field is studied theoretically. superconducting layers are assumed to be perpendicular boundary sample. Due strong anisotropy irradiated surface, transformation wave polarization occurs upon reflection. It shown that, despite relatively small penetration depth field, it qualitatively affects distribution electromagnetic and,...

We theoretically study the propagation of a terahertz (THz) Gaussian beam through thin sample layered superconductor. consider axis and superconducting layers to be perpendicular interface, while electric field in is layers. show that, such geometry, Josephson current between supports lensing instead divergence on Rayleigh range. Moreover, due nonlinearity, focal length waist transmitted depend incident intensity. These dependencies demonstrate nontrivial hysteresis behavior that can...

We show that a specific superposition principle is valid for nonlinear Josephson plasma waves in layered superconductors, which very unusual media. study theoretically the reflection and transmission of terahertz through finite-size superconducting slab placed inside rectangular waveguide with ideal-metal walls. assume layers are parallel to axis. there exist two mutually orthogonal polarizations which, spite nonlinearity, reflect transmit superconductor independently. The wave first...

The reflection and transmission of terahertz electromagnetic waves propagating in a waveguide through the sample layered superconductor finite length are studied theoretically. excitation two types Josephson plasma waves, ordinary extraordinary, leads to partial or complete transformation incident wave polarization. conditions for polarization found.

We discuss the limitations for applicability of Lifshitz theory to describe temperature dependence Casimir force between bulk lossy metal slabs finite sizes. pay attention important fact that Lifshitz's is not applicable when characteristic wavelength fluctuating field, responsible temperature-dependent terms in force, are longer than size sample. As a result, widely discussed linearly decreasing can be observed only dirty and large samples at high enough temperatures. Moreover, correct...

We study theoretically the propagation of Josephson plasma waves (JPWs) localized on a slab layered superconductor in presence an external dc magnetic field. The is sandwiched between two dielectric half-spaces and wave modes propagate across layers. derive analytic expressions for dispersion relations JPWs present numerical simulation effect field dispersion. anomalous predicted wide range frequencies, vectors, fields. Also, we discuss possibility internal reflection inhomogeneous This...