Quantum hall effect observations in commercial MOSFETs and effects of thermoelectric power

Summary We have performed quantum Hall effect measurements on commercial low-mobilityn-channel MOSFETs. The channel resistancevs. electron concentration has the expected oscillating behaviour and gives the quantized values for the Hall resistance, at least in the region of higher mobility. One class of the tested samples gave a surprising behaviour, both in QHE and in field effect mobility measurements: this is thought to be due to uncontrolled differences in the diffusion zones at the interface between the channel and the contacts. In particular, we attribute the deformation of the QHE curves to the onset of a thermoelectromotive force which is present in the electron gas even if the sample is isothermal. A clear evidence for thermoelectric effects is given by measurements made on a high-quality Hall geometry MOSFET.

---

Riassunto Abbiamo eseguito misure di effetto Hall quantistico su MOSFET commerciali di bassa mobilità a canalen. Le curve di resistenza di canale in funzione della tensione di gate presentano l'atteso andamento oscillante e danno i valori quantizzati, almeno nelle regioni di maggiore mobilità. Una categoria di campioni ha mostrato andamenti sorprendenti, sia in misure di QHE che in misure di mobilità per effetto di campo: riteniamo che ciò sia dovuto a differenze incontrollabili nelle regioni di diffusione alle interfacce tra i contatti e il canale. In particolare, attribuiamo la deformazione delle curve di QHE all'instaurarsi di forze termoelettromotrici, che sono presenti nel gas elettronico nonostante i campioni siano isotermi. Misure eseguite su un MOSFET a geometria Hall di alta qualità forniscono una chiara evidenza dell'esistenza di effetti termoelettrici.

---

Резюме Проводятся измерения квантового эффекта Холла на коммерческих MOSFET с малой подвижностью вn-канале. Зависмость сопротивления канала от концентрации электронов обнаруживает осцилляторное поведение и дает квантованные значения сопротивления Холла, по крайней мере, в области высокой подвижности. Один класс исследованных образцов обнаруживает удивительное поведение при измерении квантового эффекта Холла и при измерении зависимости подвижности от поля. Такое поведение, по-видимому, обусловлено неконтролируемыми различиями в зонах диффузии между каналом и контактами. В частности, мы приписываем деформацию кривых квантового эффекта Холла возникновению термоэлектродвижущей силы, которая присутствует в электронном газе, даже в изотермических образцах. Приводятся подтверждения для термоэлектрических эффектов, проводя измерения эффекта Холла в MOSFET с высокой подвижностью.

     

Neutron irradiation effects on martensitic iron-nickel alloys

Summary Iron-nickel alloys in the range from 29 to 32 wt.% Ni have been irradiated with an integral flux of 3·10¹⁸ n cm⁻² and then subjected to martensitic transformation. the resistivity, magnetoresistivity and Hall-effect measurements performed on the irradiated samples allow us to support the formation of iron-rich or nichel-rich ordered microstructures and additional α-phase from the supersaturated γ-matrix. The nickel content of the above-ordered region, is evaluated from the behaviour of the anomalous Hall effect in the irradiated specimens with different composition.

---

Riassunto Leghe di ferro-nichel, con contenuto in Ni variabile dal 29% al 32%, sono state irradiate con un fascio di neutroni avente flusso integrale di 3·10¹⁸ n cm⁻² a 80°C e sono state successivamente sottoposte a trasformazione martensitica mediante raffreddamento. Le misure di resistività, di magnetoresistenza e di effetto Hall compiute sui campioni irradiati consentono di fare l'ipotesi della presenza nella fase supersatura γ di microstrutture ordinate, ricche di Fe o di Ni, oltre ad una fase α addizionale. Dal comportamento dell'effetto Hall anomalo nei campioni irradiati si è valutato il contenuto di Ni presente nelle regioni ordinate.

     

Activation energy and hall-coefficient measurements in lightly dopedn-InP in the thermal freeze-out region

Summary The direct-current resistivity, β, and Hall coefficient,R _H, of lightly dopedn-type InP samples were measured at temperatures (T) down to 12K and magnetic fields up to 4.8 kG. A sharp exponential increase in β, asT was decreased, was observed for temperatures below 80 K. The Hall coefficient showed a similar trend,i.e. R _H increased sharply asT was reduced below 80 K. This is attributed to the freeze-out of conduction electrons onto their donor sites. The donor activation energy,E _d, calculated from the temperature dependence of the resistivity, was less than the theoretical prediction. An enhanced dielectric constant would be a possible candidate for such behaviour. The initial decrease in β (asT is reduced) recorded in the higher-temperature region is due to impurity scattering probably combined with lattice scattering. The authors of this paper have agreed to not receive the proofs for correction.     

Composition dependence of the electrical transport properties of amorphous transition metal alloys

Summary A quadratic composition dependence of the electrical resistivity of amorphous transition metal alloys has been investigated at room temperature. A very good agreement between the theoretical and the observed values has been obtained in the case of Ni_xZr_1−x and Cu_xZr_1−x for all compositions. The thermoelectric power was then correlated with the electrical resistivity satisfactorily for the Cu_xZr_1−x and Ni_xZr_1−x To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.     

Finite-size calculations of FQHE states at filling ν=1/2

Summary We present the results of numerical calculations, performed in the spherical geometry, of FQHE states ofN≤12 electrons in the lowest Landau level at filling ν=1/2. The extrapolated value for the energy per particle is −0.469±0.005, in the usual unitse ²/a ₀. Densities and pair correlation functions of the ground states are computed. The pair correlations are ?Wigner-crystal-like?, with maxima corresponding to regular polyhedra. ForN=4, 8 and 10 we find that the system presents a broken rotational invariance which generalizes the broken particle-hole symmetry already known in different gauges. Quasi-particles, quasi-holes and the ?exciton? spectrum are computed, and some microscopic wave functions are examined. The quasi-particles and the quasi-holes are not localized; this suggests a possible ?deformability? of the system.

---

Riassunto Si presentano risultati di alcuni calcoli numerici, eseguiti usando la geometria sferica, di stati FQHE diN≤12 elettroni nel livello di Landau piú basso a ?riempimento? ν=1/2. Il valore estrapolato dell'energia per particella risulta pari a −0.469±0.005, nelle usuali unitàe ²/a ₀. Si calcolano la funzione densità e la funzione di correlazione di coppia corrispondenti allo stato fondamentale. Le funzioni di correlazione di coppia sono ?tipo cristallo di Wigner? con massimi corrispondenti ai poliedri regolari. PerN=4, 8 e 10 noi troviamo che il sistema presenta una simmetria rotazionale rotta che generalizza la rottura della simmetria particella-buca che era già nota in altre scelte di gauge. Si calcolano le quasi-particelle, le quasi-buche e lo spettro degli ?eccitoni?, e si esaminano alcune funzioni d'onda microscopiche. Le quasi-particelle e le quasi-buche non sono localizzate; questo suggerisce una possibile ?deformabilità? del sistema.

---

Резюме Мы предлагаем результаты численных вычислений, вьшолненных в сферической геометрии, FQHE состояний дляN≤12 электронов на низшем уровне Ландау при заполнении ν=1/2. Экстрополированная величина энергии на одну частицу составляет −0.469±0.005, в обыкновенных единицахe ²/a ₀. Вычисляются функции плотности и функции парных корреляций для основных состояний. Функции парных корреляций оказываюгся ?подобны кристаллу Вигнера? с максимумами, соответствующими обычным многогранникам. ДляN=4,8 и 10 мы получаем, что рассматриваемая система представляет нарушенную симметрию ?частица-дырка?, уже известную в других калибровках. Вычисляются квази-частицы, квази-дырки и спектр ?экситонов?. Исследуются некоторые микроскопические волновые функции. Квази-частицы и квази-дырки не локализованы, что предполагает возможность ?деформируемости? системы.

     

Some transport properties in martensitic iron-nickel alloys

Summary Resistivity, Hall effect and magnetoresistivity measurements in Fe−Ni alloy specimens with Ni content ranging from 29 to 32 wt.% and subjected to martensitic transformation have been performed. The results have been interpreted by considering both the mechanisms of the martensitic transformation, different in 29 and 30 wt.% Ni alloys from that in 31 and 32 wt.% Ni ones, and the theories of Smith and Berger on the Hall effect in dilute ferromagnetic alloys, which have been applied to the above-described alloys. The Hall data, analysed by means of Kohler polts, have allowed us to identify the charge carrier scattering mechanisms prevailing in the different alloys,i.e. the skew scattering in 29 and 30 wt.% Ni alloys and the side jump scattering in 31 and 32 wt.% Ni ones. To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.     

Resistivity and magnetoresistance of Fe80B20 and Fe78B13Si9 amorphous glasses

Summary The electrical resistivity of Fe₈₀B₂₀ and Fe₇₈B₁₃Si₉ amorphous glasses as a function of temperature from 293 K down to 15 K was measured, and it was found to fit quite well with the model given by Cote and Meisel. Comparison between our resistivity measurements of Fe₈₀B₂₀ and others was made, where some differences were found. These resistivity differences are evidence for a variety of amorphous atomic arrangements of the samples. The longitudinal magnetoresistance of Fe₈₀B₂₀ and Fe₇₈B₁₃Si₉ at 293K and 77K was measured in a low magnetic field. The observed magnetoresistance shows a typical field dependence known for ferromagnetic materials.     

On the fractional quantum hall effect

We show in the Hartree-Fock approximation that the formation of a two dimensional electron lattice allows for a natural explanation of the anomalous fractional quantum Hall effect. Landau levels are broadened and split in a number of bands in such a way that if the number of electrons per unit cell is a half odd integer the Fermi energy is in a gap for an odd filling fraction denominator, and at the center of a band if the denominator is even.     

Nonabelions in the fractional quantum hall effect

Applications of conformal field theory to the theory of fractional quantum Hall systems are discussed. In particular, Laughlin's wave function and its cousins are interpreted as conformal blocks in certain rational conformal field theories. Using this point of view a hamiltonian is constructed for electrons for which the ground state is known exactly and whose quasihole excitations have nonabelian statistics; we term these objects “nonabelions”. It is argued that universality classes of fractional quantum Hall systems can be characterized by the quantum numbers and statistics of their excitations. The relation between the order parameter in the fractional quantum Hall effect and the chiral algebra in rational conformal field theory is stressed, and new order parameters for several states are given.     

Energy gaps in the fractional quantum hall effect

Based on a density-of-states N(E) ∝ (E − μ₀)² Poisson's equation is solved perpendicular to the current direction in the two-dimensional Hall-plate. By comparing the result with the structure obtained for an Ising-like chain with occupation numbers $\text{σ = 0,}\text{1}\text{2}$, 1 to account for vanishing energy gaps for filling factors $\text{v =}\text{m}\text{n}$ with n even, the energy gaps for n odd are found essentially to be proportional to $\text{B}{}^{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{n}{}^{\mathrm{-2}}$ in accordance with recent results.     

Some metallic properties in the framework of Tsallis generalized statistics

Some metallic quantities are calculated on the grounds of Tsallis generalized statistics: the specific heat at constant volume, c _V (T); the chemical potential, ; the Pauli paramagnetic susceptibility, and the Korringa constant, . First it is found that for a general value of q, the Sommerfeld expansion series will exhibit both, odd and even terms, contrary to what is obtained if we use the Fermi-Dirac (FD) statistics, where only even terms appear. It follows that: (i) the specific heat coefficient, , is q-dependent, but the temperature dependence of c_V remains linear, as in the FD case; (ii) the Fermi energy, , differs from the chemical potential by a linear term in T, and not quadratic, as in FD, the same happening for ; (iii) the Korringa constant is q-dependent, but not T-dependent. In the limit the results of FD statistics are recovered. Metallic thin films and multilayers exhibiting fractal surface structures are possible systems where the present results could be tested. Received 30 June 1999 and Received in final form 7 September 1999     

Two-roton bound state in the fractional quantum hall effect

The true nature of the lowest-energy, long-wavelength neutral excitation of the fractional quantum Hall effect has been a long outstanding problem. In this Letter, we establish that it is a two-roton bound state.     

The fractional quantum hall effect under hydrostatic pressure

We report on experiments performed on a high quality, high carrier concentration heterostructure at a range of hydrostatic pressures. At a pressure of 1 bar a clear _xx minimum and Hall plateau were observed associated with a fractional state while no such structure was observed for the fractional state. At increasing pressure however structure in the resistivity components _xx and _xy for the state became increasingly pronounced. As the disorder in the sample and the measured activation energy for the state remained relatively unchanged with increasing pressure we speculate that the enhancement of the state with increasing pressure is due to an increase in the energy gap for this state.     

From fractional Chern insulators to a fractional quantum spin hall effect

Horizontal rolls, generated in convective flow above a partially heated bottom in a rectangular box are studied experimentally for a wide range of the Prandtl number (7 ≤ P _r ≤ 1020), the Rayleigh number (300 ≤ R _a ≤ 2.8 × 10⁷) and the aspect ratio (0.08 ≤ a ≤ 0.7). Experimental studies are supported by direct numerical simulations, which made possible the examination of the regimes inaccessible in the experiment, and also to investigate in detail the heat transfer in the convective flow. A variety of regimes with longitudinal helical rolls, with transverse rolls and with mixed structures has been observed. The structure of secondary flows is defined by the level of convective supercriticality in the boundary layer (Rayleigh number) and the intensity of the throughflow, defined by the Reynolds number, which depends itself on the heating and size, i.e. on the Rayleigh number. Most of the studied regimes were characterized by the appearance of longitudinal rolls. The transverse rolls appear in the flow only under the conditions of the large vertical drop in the temperature and weak large-scale flow (that is possible only at large values of the Prandtl number). Both longitudinal and transverse rolls lead to remarkable heat transfer enhancement. The formation and characteristics of horizontal rolls are described in details.     

On the orientational dependence of giant magnetoresistance

The functional dependence of the giant magnetoresistance (GMR) with respect to the relative angle between the orientations of the magnetization in the magnetic slabs of a trilayer system is calculated by using the Kubo-Greenwood formula for electrical transport together with the fully-relativistic spin-polarized screened Korringa-Kohn-Rostoker method for semi-infinite systems and the coherent potential approximation. It is found that the functional dependence of the GMR is essentially of the form . Received 30 November 1998     

Partition noise and statistics in the fractional quantum hall effect

A microscopic theory of current partition in fractional quantum Hall liquids, described by chiral Luttinger liquids, is developed to compute the noise correlations, using the Keldysh technique. In this Hanbury-Brown and Twiss geometry, at Laughlin filling factors nu = 1/3, the real time noise correlator exhibits oscillations which persist over larger time scales than that of an uncorrelated Hall fluid. The zero frequency noise correlations are negative at filling factor 1/3 as for bare electrons (antibunching), but are strongly reduced in amplitude. These correlations become positive (bunching) for nu < or = 1/5, suggesting a tendency towards bosonic behavior.     

Electronic thermal capacity in one-dimensional mesoscopic rings

Summary We have investigated the Aharonov-Bohm (AB) effects of electronic thermal capacityC _v in a one-dimensional normal ring using the free-electron model. The results show that the thermal capacity is an oscillation function of external magnetic flux with periods ϕ₀=hc/e, ϕ₀/2, ϕ₀/3,... The amplitude of the capacity fluctuation decreases when temperature increases forT>3T ^* (T ^*=ħ V _F/(K _BπL)). We suggest an appropriate temperatureT∼3T ^* to observe in experiment the capacity-flux characteristic for metallic rings. The authors of this paper have agreed to not receive the proofs for correction.     

The lattice gas model of fractional quantum hall effect

The two-dimensional interacting electron gas under a strong homogeneous magnetic field is approximated by the one-dimensional classical lattice gas. We show that in our model the eigenstates of the system approach single-particle Slater determinants in the large particle number limit. Cusps in the energy of our model are found at simple fractional occupations.