Liquid and crystal phase of dipolar fermions in two dimensions

The liquid and crystal phase of a single-component Fermi gas with dipolar interactions are investigated using quantum Monte Carlo methods in two spatial dimensions and at zero temperature. The dipoles are oriented by an external field perpendicular to the plane of motion, resulting in a purely repulsive 1/r^3 interaction. In the liquid phase we calculate the equation of state as a function of the interaction strength and other relevant properties characterizing the Fermi-liquid behavior: effective mass, discontinuity at the Fermi surface and pair correlation function. In the high density regime we calculate the equation of state of the Wigner crystal phase and the critical density of the liquid to solid first order phase transition. Close to the freezing density we also search for the existence of a stripe phase, but such a phase is never found to be energetically favorable.Comment: 5 pages, 5 figure

One-dimensional multicomponent Fermi gas in a trap: quantum Monte Carlo study

One-dimensional world is very unusual as there is an interplay between quantum statistics and geometry, and a strong short-range repulsion between atoms mimics Fermi exclusion principle, fermionizing the system. Instead, a system with a large number of components with a single atom in each, on the opposite acquires many bosonic properties. We study the ground-state properties a multi-component Fermi gas trapped in a harmonic trap by fixed-node diffusion Monte Carlo method. We investigate how the energetic properties (energy, contact) and correlation functions (density profile and momentum distribution) evolve as the number of components is changed. It is shown that the system fermionizes in the limit of strong interactions. Analytical expression are derived in the limit of weak interactions within the local density approximation for arbitrary number of components and for one plus one particle using an exact solution.Comment: 15 pages, 5 figure

Dipolar Drag in Bilayer Harmonically Trapped Gases

We consider two separated pancake-shaped trapped gases interacting with a dipolar (either magnetic or electric) force. We study how the center of mass motion propagates from one cloud to the other as a consequence of the long-range nature of the interaction. The corresponding dynamics is fixed by the frequency difference between the in-phase and the out-of-phase center of mass modes of the two clouds, whose dependence on the dipolar interaction strength and the cloud separation is explicitly investigated. We discuss Fermi gases in the degenerate as well as in the classical limit and comment on the case of Bose-Einsten condensed gases.Comment: Submitted to EPJD, EuroQUAM special issue "Cold Quantum Matter - Achievements and Prospects

Shot noise in Weyl semimetals

We study the effect of inelastic processes on the magneto-transport of a quasi-one dimensional Weyl semi-metal, using a modified Boltzmann-Langevin approach. The magnetic field drives a crossover to a ballistic regime in which the propagation along the wire is dominated by the chiral anomaly, and the role of fluctuations inside the sample is exponentially suppressed. We show that inelastic collisions modify the parametric dependence of the current fluctuations on the magnetic field. By measuring shot noise as a function of a magnetic field, for different applied voltage, one can estimate the electron-electron inelastic length $l_{\rm ee}$.Comment: 7 pages, 1 figur

Anatomy of coronary sinus ostium

Background: The coronary sinus is the main cardiac vein and it has become a clinically important structure especially through its role in providing access for different cardiac procedures. Materials and methods: The study was carried out on 100 randomly selected adult human cadaver hearts fixed in 10% formalin. The transverse and craniocaudal diameters of the coronary sinus ostium (CSO) were directly measured. The presence of the Thebesian valve was noted and the anatomical details of the valve were documented in each case in terms of the shape and extent of coverage of the CSO. Results: Considerable variations in the diameter of the CSO were observed. The mean craniocaudal diameter of the CSO was 8.1 ± 1.51 mm, and the mean transverse diameter was 7.67 ± 1.72 mm. Heart specimens without Thebesian valve tended to have larger ostia. The mean craniocaudal diameter and the mean transverse diameter of the CSO were statistically larger in the specimens without Thebesian valves (p = 0.000 and p = 0.001, respectively). Conclusions: The Thebesian valves were observed in 86 hearts, and a wide variety of their morphology was seen. The majority of the Thebesian valves were semilunar in shape (74.42%). The extent to which the valve covered the ostium was variable, including remnant valves that covered < 15% of the CSO (35%), and valves that were large and covered at least 75% of the CSO (22.09%). In 3 specimens the valve completely occluded the ostium.

Content of protein and glycoproteins, their components in the oral fluid in children with chronic gastritis, duodenitis

In the oral fl uid of children with chronic gastritis, duodenitis there is the increased protein content (up to 7.33±0.43 g/l) against the background of the decreasing level of glycoproteins (up to 0.03±0.01 mg/ml). Coeffi cient of ratio protein / glycoproteins in the oral fl uid is increased by a factor of 9510, which has shown the intensive decay of protein-carbohydrate complexes and the increasing content of the protein fragments. In the composition of glycoproteins there is the reduced amount of hexosamines (up to 0.23±0.01 mmol/l), against the background of the increasing sialic acids (up to 0.16±0.01 mmol/l) and fucose (up to 0.87±0.02 mmol/l). Coeffi cient of ratio of terminal and corpus monosaccharides in the glycoproteins of the oral fl uid in patients with chronic gastritis, duodenitis is increased by a factor of 2.41 and 3.34, as compared to the same values in the control group of children, which signifi cantly modifi es the functional properties of the protein-carbohydrate complexes

National component in Russian word-formation: Linguodidactic aspect

The article analyzes the linguistic didactic potential of word formative system in Russian language. The ethnic cultural component of Russian word formation is characterized through the prism of the Tatar language consciousness. It is stated that during the process of a foreign language learning one of the methodologically relevant techniques is the cross-language comparative analysis of lexical units and their consecutive linguistic culturological comment. We used the comparative-typological, descriptive and cognitive-discursive methods in the work. The study results deal with two interrelated aspects: linguistic didactic and linguistic culturological. The knowledge of Russian word formation laws and mechanisms contributes to the development of a wide range of linguistic skills and common language competence among students. It was found that the comparative analysis of complex word formation units is the most effective one in terms of similarities and differences identification in the methods of reality representation with the nomination of the same denotations. The interlanguage differences in word formative determination of identical concepts demonstrate the specificity of cultural and ethnic dominants which are an integral part of the semantic universe. The inner form of the word and the possibility of metaphorical usage promote their identification and their description on the lexical and wordformation level. Comparing the derivative vocabulary and the word-forming systems of different languages, we can trace the ways of the worldview formation for a particular ethnic group with its universal and culturespecific characteristics. It was revealed that the ethnic-cultural component of natural languages depends on many factors, one of which should include the originality of motivating signs forming the derivational base of a derivative, the various degrees of ontological concept development, the presence of specific word-formation types and meanings. The work proved that the derivative study in onomasiological and cognitive aspects, the actualization of their metaphorical-anthropomorphic nature is an important linguistic didactic method, which allows to optimize the process of new vocabulary learning through the disclosure of language thinking specifics