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Variational Study Of The Nematic State Of The Two Dimensional Electron Gas In A Magnetic Field
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Book Synopsis Variational Study of the Nematic State of the Two Dimensional Electron Gas in a Magnetic Field by : Quoc M. Doan
Download or read book Variational Study of the Nematic State of the Two Dimensional Electron Gas in a Magnetic Field written by Quoc M. Doan and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: ABSTRACT: We have studied the nematic state of the two dimensional electron gas (2DEG) at halffilled Landau level (LL). Our motivation comes from experiments in which anisotropic transport in the 2DEG under high magnetic field and at low temperature was observed. Based on a model of the nematic state proposed by Oganesyan, Fradkin and Kivelson, we investigate this state and compare it with other competing states proposed by other groups. First, we investigate at what LL the nematic state becomes energetically favorable as compared to the isotropic state. Our studies indicate that this occurs at the second excited LL. Moreover, we compare the energy of the nematic state with that of the stripe state obtained within the Hartree-Fock approximation (HF) and we conclude that, for the samples studied experimentally, the nematic state might be more stable. In our study we have used two different methods which both have advantages and disadvantages.
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2009 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Study of a Two-dimensional Electron Gas in a Magnetic Field by : Seung-Joo Lee
Download or read book Study of a Two-dimensional Electron Gas in a Magnetic Field written by Seung-Joo Lee and published by . This book was released on 1981 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Study of a Two-dimensional Electron Gas in a Weak Magnetic Field by : Tadashi Toyoda
Download or read book Study of a Two-dimensional Electron Gas in a Weak Magnetic Field written by Tadashi Toyoda and published by . This book was released on 1978 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Magnetotransport Study of a High Mobility Two-dimensional Electron Gas by : Girish Bohra
Download or read book Magnetotransport Study of a High Mobility Two-dimensional Electron Gas written by Girish Bohra and published by . This book was released on 2009 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is focused on an experimental study of the electrical properties of a two-dimensional electron gas formed in a GaAs/AlGaAs heterostructure. Low temperature magneto-transport measurements are used to characterize the carrier density and mobility of this system. An extensive study of the temperature and current dependence of quantum-mechanical transport effects, observable at very low temperatures, is performed in the temperature range of 4.2-100 K, for measurement currents in the range of 10 nA- 100℗æA. The well-known decrease in the amplitude of the Shubnikov-de Haas effect, and an accompanying increase in the onset magnetic field of these oscillations, with increasing temperature, as well as a simultaneous suppression of the quantum-Hall effect, is observed. Similar behavior is found on increasing the measurement current. An analysis of the insulator to quantum Hall transition (I-QH), occurring in the two-dimensional electron gas at low perpendicular magnetic fields, is also reported, along with the results of investigations of electron heating based on the measurements of the energy-loss rate. This study shows that the direct I-QH transition does not always correspond to the onset of strong localization, with clear Shubnikov-de Haas oscillations being observed in the insulating regime. A linear dependence of the electron energy-loss rate and electron temperature in the temperature range of 4.2-40 K is determined, indicating that the main mechanism for electron energy relaxation is acoustic phonon scattering.
Book Synopsis High Magnetic Field Studies of the Two-dimensional Electron Gas Formed in Semiconductor Heterostructures by : M. A. Brummell
Download or read book High Magnetic Field Studies of the Two-dimensional Electron Gas Formed in Semiconductor Heterostructures written by M. A. Brummell and published by . This book was released on 1985 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optical Properties of a Two-dimensional Electron Gas in Magnetic Fields by : Marcin z Drozdowa Byszewski
Download or read book Optical Properties of a Two-dimensional Electron Gas in Magnetic Fields written by Marcin z Drozdowa Byszewski and published by . This book was released on 2005 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies of properties of a two-dimensional electron gas in magnetic fields by optical spectroscopy is presented: fractional quantum Hall effect (FQHE) studied by photoluminescence and inelastic light scattering in high fields, and a recently discovered effect of microwave induced resistance oscillations (MIROs) by transport and absorption measurements in low fields. Until now, series of FQHE states, arising due to electron interaction, were not observed in photoluminescence. This work reports on optical detection of a whole family of 1/2 fractional states observed in photoluminescence. The features reflect pattern analogous to the one observed by the magneto--resistivity traces. The strongest features observed even in raw data include fractions 1/3, 2/5, 3/7, 3/5, 2/3 , and 1 on either side of the 1/2 state. The last chapter describes the studies of the new effect of microwave resistance induced oscillations (MIROs). When irradiated with microwaves, the behaviour of 2DEG transport properties deviates from the Shubnikov -- de Haas oscillations. The resistance traces exhibit series of vanishing resistance states. The frequency dependence of transport data shows a gradual changeover from transport traces reflecting MIROs in low microwave frequencies, to traces showing nearly the cyclotron resonance only. The results of the absorption measurements validate description of the MIROs as the result of oscillatory density of states. Also, the existence of two separate absorption processes are suggested to explain the microwave polarisation independence of MIROs, and the crossover from MIROs-like transport data at low frequencies to cyclotron--like traces at higher frequencies.
Book Synopsis Calculation of Electronic States of a Two-dimensional Electron Gas in a Periodic Magnetic Field by : Anisul Haque
Download or read book Calculation of Electronic States of a Two-dimensional Electron Gas in a Periodic Magnetic Field written by Anisul Haque and published by . This book was released on 1992 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Two-dimensional Electron Gas in a Strong Magnetic Field by : Hidetoshi Fukuyama
Download or read book The Two-dimensional Electron Gas in a Strong Magnetic Field written by Hidetoshi Fukuyama and published by . This book was released on 1977 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Tunneling Between Two Dimensional Electron Systems in a High Magnetic Field and Crystalline Phases of a Two Dimensional Electron System in a Magnetic Field by : Filippos Klironomos
Download or read book Tunneling Between Two Dimensional Electron Systems in a High Magnetic Field and Crystalline Phases of a Two Dimensional Electron System in a Magnetic Field written by Filippos Klironomos and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We further study the collective states formed by the 2D electrons at low Landau levels by working from a semi-classical and microscopic perspective and evaluating the elastic moduli, normal modes, and zero-point and cohesive energies of the different crystalline structures. The effects of screening from filled Landau levels and finite thickness of the sample are found not to influence the overall interplay of the phases. When probing the internal degrees of the crystalline structures, the energy is lowered considerably (which signifies that these degrees have a prominent physical importance).
Download or read book Chemical Abstracts written by and published by . This book was released on 1990 with total page 1738 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Tragoedia Carolus Bonus, Flandriae comes XVI by :
Download or read book Tragoedia Carolus Bonus, Flandriae comes XVI written by and published by . This book was released on 1663 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Interacting Two-Dimensional Electron and Hole Systems in Perpendicular Magnetic Fields by : Meng Ma
Download or read book Interacting Two-Dimensional Electron and Hole Systems in Perpendicular Magnetic Fields written by Meng Ma and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electron and hole systems confined in two dimensions exhibit a plethora of exotic quantum phases under perpendicular magnetic field at sufficiently low temperature. In this thesis, we explore several of these quantum phases in state-of-the-art high-quality InAs and GaAs quantum wells and study their formation, phase diagram, and geometric resonance behavior under a one-dimensional periodic magnetic modulation.The two-dimensional (2D) electron system in an InAs quantum well has emerged as a prime candidate for hosting exotic quasi-particles with non-abelian statistics such as Majorana fermions and parafermions. To attain its full promise, however, the electron system has to be clean enough to exhibit electron-electron interaction phenomena. In the first part of the thesis, we present the observation of the fractional quantum Hall effect in a very low disorder InAs quantum well. At sufficiently low temperature and very high perpendicular magnetic field, a deep minimum in the longitudinal resistance, accompanied by a nearly quantized Hall plateau at Landau level filling factor nu=4/3 was observed.A sufficiently large perpendicular magnetic field quenches the kinetic (Fermi) energy of an interacting 2D system of fermions, making them susceptible to the formation of a Wigner solid (WS) phase in which the charged carriers organize themselves in a periodic array to minimize their Coulomb repulsion energy. In low-disorder 2D electron systems confined to modulation-doped GaAs heterostructures, signatures of a magnetic-field-induced WS appear at low temperatures and very small Landau level filling factors (nu~1/5). In dilute GaAs 2D hole systems, on the other hand, thanks to the larger hole effective mass and the ensuing Landau level mixing, the WS forms at relatively higher fillings (nu~1/3). In the second part of the thesis, we present our measurements of the fundamental temperature vs. filling phase diagram for the 2D holes' WS-liquid thermal melting. Moreover, via changing the 2D hole density, we also probe their Landau level mixing vs. filling WS-liquid quantum melting phase diagram. We find our data to be in good agreement with the results of very recent calculations, although intriguing subtleties remain.A high-quality 2D electron system under a small perpendicular magnetic field exhibits ballistic cyclotron motion. When the size of the cyclotron orbit is commensurate with an external one-dimensional (1D) density modulation, a series of longitudinal resistance minima are observed as a result of this geometric resonance condition. In a GaAs 2D electron system, such 1D density modulation can be achieved through the piezoelectric effect along the [110] and [-110] crystallographic directions. In the third part of this thesis, we discuss a technique that imposes a 1D magnetic modulation to the GaAs 2D electron system in the [100] and [010] crystallographic directions where the piezoelectric effect essentially zero. This technique can be implemented to study the geometric resonance of other 2D systems such as the AlAs 2D electron system, where the major axes of the carrier pockets are along the directions. By extending this technique to higher perpendicular magnetic fields, one can also add an additional tool to probe the physics of the composite fermion systems.
Book Synopsis Inhomogeneous Magnetic Fields by : Jonas Reijniers
Download or read book Inhomogeneous Magnetic Fields written by Jonas Reijniers and published by . This book was released on 2001 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics Briefs written by and published by . This book was released on 1994 with total page 1170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Path Integral Approach to Density of States of Two-dimensional Electron Gas with Random Potential in Transverse Magnetic Field by : Montri Sukdananda
Download or read book Path Integral Approach to Density of States of Two-dimensional Electron Gas with Random Potential in Transverse Magnetic Field written by Montri Sukdananda and published by . This book was released on 1991 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: The behavior of the density of states for an electron moving in a two-dimensional Gaussian random potential under the influence of a transverse magnetic field is studied by using the path integral method. After obtaining the expression for the density of states for the first- cumulant approximation which can compare very well with experiments, some results for the first cumulant approximation suggest that the approximate density of states can take on negative values when the energies of the electron are higher. To overcome this, we could consider going to the second-order cumulant approximation. Although the density of states can be obtained for the second-order cumulant approximation, we cannot observe the behavior of the electron because of the difficulties of an exponential part which cannot be performed analytically. However, it can be calculated numerically by the Monte Carlo method.
Book Synopsis The Effect of Magnetic Field on the Edge Plasmons of Two-dimensional Electron Gas Systems by :
Download or read book The Effect of Magnetic Field on the Edge Plasmons of Two-dimensional Electron Gas Systems written by and published by . This book was released on 1994 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edge magnetoplasmons of two-dimensional electron gas (2DEG) systems with density profiles that fall from their bulk value to zero in a non-abrupt manner are investigated. Higher multipole modes, which can be thought of as bulk plasmons of the low density edge region, exist as localized edge modes only for finite values of wavevector along the edge. In addition, a sequence of very low frequency edge magnetoplasmons displaying linear dispersion are found for only one direction of propagation along the edge for a given applied magnetic field. Some insight is gained from the analysis of a simple double step density profile.
