17 research outputs found
Stability of optically-active charged excitons in quasi-two dimensional systems
A negatively charged quasi-two dimensional exciton () is solved exactly
numerically in the presence of a uniform perpendicular B-field. Various
quasi-two dimensional geometries are studied. The charge distribution of the
parallel to the B-field is found to be crucial in determining the
stability of the optically-active and hence its photoluminescence (PL)
signature. The theory provides a quantitative explanation of recent
experimental results obtained for a GaAs quantum well. Effects are found which
cannot be described within a lowest Landau level approximation.
PACS: 78.20.Ls 78.66.-w 73.20.DxComment: Minor revisions, mainly removal of the term trion in favour of the
term charged-exciton to comply with Physical Review B. To be published as a
Rapid Communication in Physical Review
Photoluminescence signature of skyrmions at \nu = 1
The photoluminescence spectrum of quantized Hall states near filling factor
\nu = 1 is investigated theoretically. For \nu >= 1 the spectrum consists of a
right-circularly polarized (RCP) line and a left-circularly polarized (LCP)
line, whose mean energy: (1) does not depend on the electron g factor for
spin-1/2 quasielectrons, (2) does depend on g for charged spin-texture
excitations (skyrmions). For \nu < 1 the spectrum consists of a LCP line
shifted down in energy from the LCP line at \nu >= 1. The g-factor dependence
of the red shift of the LCP line determines the nature of the negatively
charged excitations.Comment: 11 pages, 2 PostScript figures. Replaced with version to appear in
Physical Review B Rapid Communications. Minor changes, reference adde
Validity of the Gor'kov expansion near the upper critical field in type II superconductors
We have examined the validity of the Gor'kov expansion in the strength of the
order parameter of type II superconductors near the upper critical field.
Although the degeneracy of the electron levels in a magnetic field gives non-
perturbative terms in the solution to the Bogoliubov-de Gennes equations we
find, contrary to recent claims, that these non-perturbative terms cancel in
the expression for the thermodynamic potential, and that the traditional
Gor'kov theory is correct sufficiently close to Hc2 at finite temperature. We
have derived conditions for the validity of the Gor'kov theory which
essentially state, that the change in the quasiparticle energies as compared to
the normal state energies cannot be too large compared to the temperature.Comment: 5 pages, 3 figures. One reference adde
Orthogonality catastrophe in a composite fermion liquid
We discuss the emergence of an orthogonality catastrophe in the response of a
composite fermion liquid as the filling factor \nu approaches 1/2m, where
m=1,2,3.... A tunneling experiment is proposed in which dramatic changes in the
I-V characteristic should be observable as \nu is varied. Explicit I-V
characteristics calculated within the so-called Modified Random Phase
Approximation, are provided for \nu=1/3 -> \nu=1/2.Comment: Latex two-column 6 pages including 5 figure
Optics with Quantum Hall Skyrmions
A novel type of charged excitation, known as a Skyrmion, has recently been
discovered in quantum Hall systems with filling factor near \nu = 1. A Skyrmion
-- which can be thought of as a topological twist in the spin density of the
electron gas -- has the same charge as an electron, but a much larger spin. In
this review we present a detailed theoretical investigation of the optical
properties of Skyrmions. Our results provide means for the optical detection of
Skyrmions using photoluminescence (PL) spectroscopy. We first consider the
optical properties of Skyrmions in disordered systems. A calculation of the
luminescence energy reveals a special optical signature which allows us to
distinguish between Skyrmions and ordinary electrons. Two experiments to
measure the optical signature are proposed. We then turn to the optical
properties of Skyrmions in pure systems. We show that, just like an ordinary
electron, a Skyrmion may bind with a hole to form a Skyrmionic exciton. The
Skyrmionic exciton can have a lower energy than the ordinary magnetoexciton.
The optical signature of Skyrmions is found to be a robust feature of the PL
spectrum in both disordered and pure systems.Comment: 31 pages, LaTex, 11 eps figures. ijmpb style file included. Review
article submitted to Int. J. Mod. Phys.
Optical properties of a two-dimensional electron gas at even-denominator filling fractions
The optical properties of an electron gas in a magnetic field at filling
fractions \nu = {1\over 2m} (m=1,2,3...) are investigated using the composite
fermion picture. The response of the system to the presence of valence-band
holes is calculated. The shapes of the emission spectra are found to differ
qualitatively from the well-known electron-hole results at zero magnetic field.
In particular, the asymmetry of the emission lineshape is found to be sensitive
to the hole-composite fermion plane separation.Comment: 17 pages, LaTeX, 7 figures. This revised version is to appear in
Physical Review
Skyrmionic excitons
We investigate the properties of a Skyrmionic exciton consisting of a
negatively charged Skyrmion bound to a mobile valence hole. A variational wave
function is constructed which has the generalized total momentum P as a good
quantum number. It is shown that the Skyrmionic exciton can have a larger
binding energy than an ordinary magnetoexciton and should therefore dominate
the photoluminescence spectrum in high-mobility quantum wells and
heterojunctions where the electron-hole separation exceeds a critical value.
The dispersion relation for the Skyrmionic exciton is discussed.Comment: 9 pages, RevTex, 2 PostScript figures. Replaced with version to
appear in Phys. Rev. B Rapid Communications. Short discussion of variational
state adde
Ginzburg-Landau-Gor'kov Theory of Magnetic oscillations in a type-II 2-dimensional Superconductor
We investigate de Haas-van Alphen (dHvA) oscillations in the mixed state of a
type-II two-dimensional superconductor within a self-consistent Gor'kov
perturbation scheme. Assuming that the order parameter forms a vortex lattice
we can calculate the expansion coefficients exactly to any order. We have
tested the results of the perturbation theory to fourth and eight order against
an exact numerical solution of the corresponding Bogoliubov-de Gennes
equations. The perturbation theory is found to describe the onset of
superconductivity well close to the transition point . Contrary to
earlier calculations by other authors we do not find that the perturbative
scheme predicts any maximum of the dHvA-oscillations below . Instead we
obtain a substantial damping of the magnetic oscillations in the mixed state as
compared to the normal state. We have examined the effect of an oscillatory
chemical potential due to particle conservation and the effect of a finite
Zeeman splitting. Furthermore we have investigated the recently debated issue
of a possibility of a sign change of the fundamental harmonic of the magnetic
oscillations. Our theory is compared with experiment and we have found good
agreement.Comment: 39 pages, 8 figures. This is a replacement of supr-con/9608004.
Several sections changed or added, including a section on the effect of spin
and the effect of a conserved number of particles. To be published in Phys.
Rev.
Superfluid-spiral state of quantum ferrimagnets in magnetic field
We study the phase diagram of one-dimensional quantum ferrimagnets by using a
numerical exact diagonalization of a finite size system along with a
field-theoretical non-linear model of the quantum ferrimagnets at zero
temperature and its effective description in the presence of the external
magnetic field in terms of the quantum XY-model. The low- and the high-field
phases correspond respectively to the classical N\'eel and the fully polarized
ferromagnetic states where in the intermediate magnetic field (), it is an XXZ+h model with easy plane anisotropy, which possess the
spiral (superfluid) states that carry the dissipationless spin-supercurrent. We
derive the critical exponents, and then will study the stability of the XY
spiral state against these spin-supercurrents and the hard axis fluctuations.
We will show a first order phase transition from the easy plane spiral state to
a saturated ferromagnetic state occurs at if the spin-supercurrent
reaches to its critical value.Comment: 6 pages and 4 figure