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1.
Starting with a layered interacting Fermi liquid we describe a possible origin of high-T c superconductivity. We argue that for a electron densityN smaller than a critical densityN c many-body effects are very large in layered electron systems leading, to an attraction of electrons in neighboring planes. This attraction leads to pairing of two electrons. The paired electrons are bosons, which undergo a Bose-Einstein condensation and form a Schafroth superconductor (local pairing) with a boson densityN B expressed asT c N B N[1-(N/N c )1/2]. This superconductor is characterized by a short coherence length. We compare our theoretical results for the critical temperatureT c , the pressure effect coefficient and the isotope effect coefficient with experimental results and find good agreement.  相似文献   

2.
We calculate the local-field correctionsG(q, q z) f electron superlattices with interlayer distanced in order to describe many-body effects. A generalized Hubbard expression for the local-field correction is derived. The sum-rule version of the self-consistent approach for the local-field correction is developed and used to discuss the effects of exchange and correlation. The RPA-parameterr s and the ratiod/a * determine the many-body effects.a * is the effective Bohr radius. The stability region for the Fermi liquid behavior of the layered electron gas is discussed: (i) forda * the critical RPA-parameterr sc1 is determined by exchange andintraplane correlation effects, (ii) forda * withr sc1 correlation effects are small and the instability point is mainly determined by exchange effects, (iii) forda * withr sc<1 exchange andinterplane correlation effects are both important for the instability point. Our results are important for high-T c superconductors, organic superconductors and semiconductor superlattices.  相似文献   

3.
We calculate the plasmon dispersion of electron superlattices by taking into account many-body effects via the local-field correction. For small electron density we find a weak roton structure in the dispersion of optical plasmons. Landau damping is strongly enhanced by many-body effects, especially for acoustical plasmons. We compare with experimental results of high-T c superconductors. Some experiments are suggested.  相似文献   

4.
Two interacting electrons in a Gaussian confining potential quantum dot are considered under the influence of a perpendicular homogeneous magnetic field. The energy levels of the low-lying states are calculated as a function of magnetic field. Calculations are made by using the method of few-body physics within the effective-mass approximation. A ground state behavior (singlet→triplet state transitions) as a function of the strength of a magnetic field has been found in the weak confinement case as a two-electron quantum dot with parabolic confining potential.  相似文献   

5.
The influence of excited levels on nonlinear transport properties of a quantum dot weakly coupled to leads is studied using a master-equation approach. A charging model for the dot is compared with a quantum mechanical model for interacting electrons. The currentvoltage curve shows Coulomb lockade and additional finestructure that is related to the excited states of the correlated electrons. Unequal coupling to the leads causes asymmetric conductance peaks. Negative differential conductances are predicted due to the existence of excited states with different spins.  相似文献   

6.
The lowest excitations of a repulsively interacting few particle system are investigated within correlated “pocket state” basis functions. For long range interaction and non-isotropic confining potentials the method becomes exact, in the limit of large mean inter-particle distancesr s. The multiplet structure of the many-electron energy levels is explained and the ratios δ between the lowest excitation energies, which are related to the electron spin, are determined quantitatively using group theoretical means. The δ are independent of the detailed form of the inter-particle repulsion and of sufficiently larger s. The obtained δ-values are confirmed by available numerical data. The method is applied to 1D and 2D quantum dots.  相似文献   

7.
The Raman spectra of quantum wires in the region of electronic intra-band excitations are investigated using one- and two-band models based on the Luttinger approximation with spin. Structures related to charge and spin density modes are identified, and analyzed with respect to their behavior with photon energy and temperature. It is found that the low-energy peaks in the polarized spectra, close to resonance that are commonly assigned to “single particle excitations”, can be interpreted as the signature of spin density excitations. A broad structure in the resonant depolarized spectrum is predicted above the frequency of the spin density excitations. This is due to simultaneous but independent propagation of spin and charge density modes. The results, when compared with experiment, show, that the electronic collective excitations of quantum wires at low energies are characteristic for a non-Fermi liquid. Received: 25 March 1998 / Accepted: 3 June 1998  相似文献   

8.
Resonant inelastic light scattering experiments access the low lying excitations of electron liquids in the fractional quantum Hall regime in the range 2/5≥ν≥1/3. Modes associated with changes in the charge and spin degrees of freedom are measured. Spectra of spin reversed excitations at filling factor ν?1/3 and at ν?2/5 identify a structure of lowest spin-split Landau levels of composite fermions (CFs) that is similar to that of electrons. Observations of spin wave excitations enable determinations of energies required to reverse spin. The spin reversal energies obtained from the spectra illustrate the significant residual interactions of composite fermions. At ν=1/3 energies of spin reversal modes are larger but relatively close to spin conserving excitations that are linked to activated transport. Predictions of composite fermion theory are in good quantitative agreement with experimental results.  相似文献   

9.
Using the bosonization technique, a theory for the collective excitations of the interacting electrons in quantum wires with two subbands occupied is developed. The dispersion relations for the inter-subband charge and spin density excitations are determined. The results are used to interpret the features observed in recent measurements of the Raman spectra of AlGaAs/GaAs quantum wires, particularly for photon energies near band gap resonance. It is shown that peaks previously identified as “single particle excitations” are signatures of higher order collective spin density excitations. Predictions about the observability of the interband modes are made. Received 8 February 1999  相似文献   

10.
Polarizabilities of shallow donors in finite-barrier GaAs/Ga1−xAlxAs of harmonic oscillator nanodots are calculated, within the effective-mass approximation, using the Hasse variational method. The magnetic field dependence of polarizabilities and the diamagnetic susceptibilities are computed.  相似文献   

11.
12.
We study the collective association dynamics of a cold Fermi gas of 2N atoms in M atomic modes into a single molecular bosonic mode. When the atomic translational motion is slow compared to the atom-molecule conversion rate, the many-body fermionic problem for 2M amplitudes is effectively reduced to a dynamical system of min{NM} + 1 amplitudes, making the solution no more complex than the solution of a two-mode Bose-Einstein condensate and allowing realistic calculations with up to 104 particles. The many-body dynamics is shown to be formally similar to the dynamics of the bosonic system under the mapping of boson particles to fermion holes, producing collective enhancement effects due to many-particle constructive interference.  相似文献   

13.
The ground state and a few excited state energies of a hydrogenic donor in a spherical quantum dot (GaAs in a GaAlAs matrix) are computed. While the 1s and the 2s-state energies behave normally for dots of all radii, the 2p0 and 2p± states are unbound for most of the radii of interest. It is predicted that a semiconductor quantum dot with a hydrogenic donor will exhibit photoconductivity for a low threshold wavelength ∼12 μm. The spin-orbit coupling gives a contribution of the order of 10−5 meV for both 2p0 and 2p± states.  相似文献   

14.
The energy levels of an off-center hydrogenic donor confined by a spherical Gaussian potential have been calculated as a function of the potential radius for different donor position by exact diagonalization method. The results have clearly demonstrated the so-called quantum size effect. The binding energy is dependent on the dot radius R, the impurity ion distance D, and the confining potential depth V0.  相似文献   

15.
The binding energies of a hydrogenic donor in a GaAs spherical quantum dot in the Ga1−xAlxAs matrix are presented assuming parabolic confinement. Effects of hydrostatic pressure and electric field are discussed on the results obtained using a variational method. Effects of the spatial variation of the dielectric screening and the effective mass mismatch are also investigated. Our results show that (i) the ionization energy decreases with dot size, with the screening function giving uniformly larger values for dots which are less than about 25 nm, (ii) the hydrostatic pressure increases the donor ionization energy such that the variation is larger for a smaller dot, and (iii) the ionization energy decreases in an electric field. All the calculations have been carried out with finite barriers and good agreement is obtained with the results available in the literature in limiting cases.  相似文献   

16.
The scattering-theoretic T-matrix method is used to calculate the subband structures of GaAs−ZnSe and ZnSe−ZnSxSe1−x [001] quantum wells within an empirical tight-binding model, that includes the bulk Г6, Г7 and Г8 valence- and conduction bands. The resulting confinement energies for vanishing lateral crystal momentumk are compared with those, that are obtained from a simple effective mass model and effects are found and predicted which the effective mass model cannot account for. The effect of the band nonparabolicity and the influence of the microscopic sequence of atomic layers, which determines the symmetry properties of a quantum well, are studied for the GaAs−ZnSe wells.  相似文献   

17.
Dispersion relations of surface plasmon polaritons (SPPs) in sandwiched optical systems are studied. The system is actually a kind of SPP waveguides, with two kinds of single negative material (SNG) as core and cladding layers, respectively. Since both TM and TE polarized SPPs can be excited in the structure, the dispersion of SPPs becomes more abundant and leads to colorful nonlinear opticM properties. The authors demonstrate the effective phase-matched second and third-harmonic generation (SHG, THG) assisted by the coupled SPPs. A cascaded second-order nonlinear process can Mso be achieved in the structure when the thickness of the core layer is properly selected, leading to the simultaneous SHG and THG. Further investigations show that much easier phase-matching can be fulfilled in the SNG waveguide array. Our results would be of potential use for surface-enhanced frequency conversion device such as light emitters or lasers.  相似文献   

18.
Diffusivities of two-dimensional electron-hole pairs in thin GaAs/AlGaAs Quantum Wells (QWs) are studied experimentally and theoretically as functions of temperature and well-width. With growing well-widths, increasing diffusivities are observed for fixed Al-contents. Experimental diffusivities for the lateral carrier motion in continuously as well as in interrupted-grown thin QWs of different barrier Al-content are presented for T>150 K. Increasing diffusivities are observed for rising temperatures in the range T190 K. A comparison of the experimental data and results of theoretical model calculations indicates that the increase is partly related to thermal dissociation of excitons into free carrier pairs. The effective diffusivity of this two-component system is calculated using a system of rate equations and considering acoustic-deformation-potential scattering, polar-optical scattering and barrier-alloy-disorder scattering.The experimental data were obtained at: 4. Physikalisches Institut, Universität Stuttgart, Pfaffenwaldring 57, W-7000 Stuttgart 80, Germany  相似文献   

19.
Within the framework of the electromagnetic theory, the collective modes in the superlattice system composed of superionic conductors and ionic crystals are studied. The superionic conductor is described by the hydrodynamical model in which the anion cage is immersed in the cation liquid. The behavior of the modes are analysed in terms of the coupling strength between excitations pertaining to different layers. The coupling strength is controlled by varying the slab thicknesses. An interesting behavior in which the diffusion mode transforms to the relaxation mode when the coupling strength is varied from strong to weak is obtained. Also, the effect of the coupling strength on the acoustical and optical modes are shown.  相似文献   

20.
The motion of a few electrons in a three-dimensional harmonic oscillator potential under the influence of a homogeneous magnetic field of arbitrary direction is studied. The ground state of the Fermi system is obtained by minimizing the total energy with regard to the confining frequencies. From this a dependence of the equilibrium shape on the electron number, the magnetic field parameters and the slab thickness is found.  相似文献   

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