Quantum ballistic transport in in-plane-gate transistors showing onset of a novel ferromagnetic phase transition

We study one-dimensional transport in focused-ion-beam written in-plane-gate transistors on III-V heterostructures at moderately low temperatures at zero bias without any external magnetic field applied. In accordance with a recent proposal of A. Gold and L. Calmels, Valley- and spin-occupancy instability in the quasi-one-dimensional electron gas, Phil. Mag. Lett. 74, 33-42 (1996) and earlier experimental data, we observe plateaux in the source-drain conductivity considered as a function of the gate voltage, not only at multliples of 2e^2/h but also clearly at e^2/h, just before the channel closes to zero conductivity. This may be interpreted as a many electron effect, namely as a novel ballistic ferromagnetic ground state evading standard descriptions and theorems.Comment: 19 pages, 9 figures, 22 reference

Robustness of the quantum Hall effect, sample size versus sample topology, and quality control management of III-V molecular beam epitaxy

We measure the IQHE on macroscopic (1.5cm x 1.5cm) "quick 'n' dirty" prepared III-V heterostructure samples with van der Pauw and modified Corbino geometries at 1.3 K. We compare our results with (i) data taken on smaller specimens, among them samples with a standard Hall bar geometry, (ii) results of our numerical analysis taking inhomogenities of the 2DEG into account. Our main finding is a confirmation of the expected robustness of the IQHE which favours the development of wide plateaux for small filling factors and very large sample sizes (here with areas 10,000 times larger than in standard arrangements).Comment: 51 pages, 27 figures, 3 tables, 49 references. This paper is intimately related to the set-up decribed in physics/980400

Reologičeskie svojstva i kačestvo šokoladnyh mass

Szerzők saját vizsgálataik és az irodalmi adatok kritikai értékelése alapján áttekintést adnak a csokoládémassza Teológiai tulajdonságait befolyásoló tényezőkről (kakaóvajtartalom, víztartalom, lecitin mennyisége, hőmérséklet stb.). Nagy figyelmet szentelnek a csokoládémassza reológiai sajátságainak leírására alkalmas modelleknek és egyenleteknek. Különös részletességgel tárgyalják a granulometriás állapot jelentőségét és szerepét. Végül röviden taglalják a reológiai tulajdonságok és a minőség közötti összefüggéseket az optimalizálás kérdéseit. On the basis of own investigations and of a critical evaluation of the data of literature a survey is given of the factors affecting the rheological properties (content of cocoa butter, water content, amount of lecithin present, temperature etc.) of the chocolate mass. Great attention is paid to models and equations suitable for the description of the rheological properties of the chocolate mass. The significance and role of the granulometric state is discussed in detail. Relationship between rheological properties and quality from the aspect of optimization is surveyed briefly. Auf Grund von eigenen Untersuchungen und von Literaturangaben wird eine Übersicht über die die Theologischen Eigenschaften der Schokoladenmasse beeinflussenden Faktoren (wie der Gehalt an Kakaobutter und Wasser, die Menge des Lecithins, die Temperatur usw.) gegeben. Eine besondere Aufmerksamkeit wird den zur Beschreibung der Theologischen Eigenschaften der Schokoladenmasse geeigneten Modellen und Gleichungen gewidmet. Die Bedeutung und Rolle des granulometrischen Zustandes werden äusserst ausführlich besprochen. Schliesslich werden die zwischen den Theologischen Eigenschaften und der Qualität bestehenden Zusammenhänge vom Standpunkt der Optimierung kurz behandelt. A partir de leurs propres études et de l ’évaluation critique des données de littérature, les auteurs rendent compte des facteurs qui influencent les caractéristiques de la masse de chocolat (les teneursrespectives en beurre de cacao, en eau, la quantité de lécithine, la température, etc.) 11 s accordent beaucoup d’attention auxmodéles et équations qui sé prétent ä décrire les propriétés rhéologiques de la masse de chocolat. C’est avec une grande abindance de détails qu’ils traitent de l ’importance et du role de l ’état granulométrique. Enfin ils traitent briévement les corrélations entre les propriétés rhéologiques et la qualité, ainsi que les problémes de l ’optimalisation

Parity and the Spin-Statistics Connection

The spin-statistics connection is obtained in a simple and elementary way for general causal fields by using the parity operation to exchange spatial coordinates in the scalar product of a locally commuting field operator, evaluated at position x, with the same field operator evaluated at -x, at equal times.Comment: 6 page

Density functional electronic spectrum of the CuO−6−10Cu O_{-6}^{-10} cluster and possible local Jahn-Teller distorsions in the La-Ba-Cu-O superconductor

We present a density functional theory (DFT) calculation in the generalized gradient approximation to study the possibility for the existence of Jahn-Teller (JT) or pseudo Jahn-Teller (PJT) type local distortions in the La-Ba-Cu-O superconducting system. We performed the calculation and correspondingly group theory classification of the electronic ground state of the CuO${_{6}}^{-10}$ elongated octahedra cluster, immersed in a background simulating the superconductor. Part of the motivation to do this study is that the origin of the apical deformation of the CuO${_{6}}^{-10}$ cluster is not due to a pure JT effect, having therefore a non {\it a priori} condition to remove the degeneracy of the electronic ground state of the parent regular octahedron. We present a comparative analysis of the symmetry classified electron spectrum with previously reported results using unrestricted Hartree-Fock calculations (UHF). Both the DFT and UHF calculations produced a non degenerate electronic ground state, not having therefore the necessary condition for a pure JT effect. However, the appearance of a degenerate E$_{g}$ state near to the highest occupied molecular orbital in the DFT calculation, suggests the possibility for a PJT effect responsible for a local distortion of the oxidized CuO$_{6}^{-9}$ cluster.Comment: 12 pages, 3 figures, submitted to International Journal of Modern Physics B (IJMPB

Scattering States of Plektons (PARTICLES with Braid Group Statistics) in 2+1 Dimensional Quantum Field Theory

A Haag-Ruelle scattering theory for particles with braid group statistics is developed, and the arising structure of the Hilbert space of multiparticle states is analyzed.Comment: 18 pages, LATEX, DAMTP-94-9

Many-body spin related phenomena in ultra-low-disorder quantum wires

Zero length quantum wires (or point contacts) exhibit unexplained conductance structure close to 0.7 X 2e^2/h in the absence of an applied magnetic field. We have studied the density- and temperature-dependent conductance of ultra-low-disorder GaAs/AlGaAs quantum wires with nominal lengths l=0 and 2 mu m, fabricated from structures free of the disorder associated with modulation doping. In a direct comparison we observe structure near 0.7 X 2e^2/h for l=0 whereas the l=2 mu m wires show structure evolving with increasing electron density to 0.5 X 2e^2/h in zero magnetic field, the value expected for an ideal spin-split sub-band. Our results suggest the dominant mechanism through which electrons interact can be strongly affected by the length of the 1D region.Comment: 5 Pages, 4 figure

Unusual Thermodynamics on the Fuzzy 2-Sphere

Higher spin Dirac operators on both the continuum sphere($S^2$) and its fuzzy analog($S^2_F$) come paired with anticommuting chirality operators. A consequence of this is seen in the fermion-like spectrum of these operators which is especially true even for the case of integer-spin Dirac operators. Motivated by this feature of the spectrum of a spin 1 Dirac operator on $S_F^2$, we assume the spin 1 particles obey Fermi-Dirac statistics. This choice is inspite of the lack of a well defined spin-statistics relation on a compact surface such as $S^2$. The specific heats are computed in the cases of the spin $\frac{1}{2}$ and spin 1 Dirac operators. Remarkably the specific heat for a system of spin $\frac{1}{2}$ particles is more than that of the spin 1 case, though the number of degrees of freedom is more in the case of spin 1 particles. The reason for this is inferred through a study of the spectrums of the Dirac operators in both the cases. The zero modes of the spin 1 Dirac operator is studied as a function of the cut-off angular momentum $L$ and is found to follow a simple power law. This number is such that the number of states with positive energy for the spin 1 and spin $\frac{1}{2}$ system become comparable. Remarks are made about the spectrums of higher spin Dirac operators as well through a study of their zero-modes and the variation of their spectrum with degeneracy. The mean energy as a function of temperature is studied in both the spin $\frac{1}{2}$ and spin 1 cases. They are found to deviate from the standard ideal gas law in 2+1 dimensions.Comment: 19 pages, 7 figures. The paper has been significantly modified. Main results are unchange