108 research outputs found
Falicov-Kimball model and the problem of electronic ferroelectricity
The density matrix renormalization group method is used to examine
possibilities of electronic ferroelectricity in the spinless Falicov-Kimball
model. The model is studied for a wide range of parameters including weak and
strong interactions as well as the symmetric and unsymmetric case. In all
examined cases the -expectation value vanishes for vanishing
hybridization , indicating that the spinless Falicov-Kimball model does not
allow for a ferroelectric ground state with a spontaneous polarization.Comment: 9 pages, 4 figures, LaTe
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
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
Kondo Insulator: p-wave Bose Condensate of Excitons
In the Anderson lattice model for a mixed-valent system, the
hybridization can possess a -wave symmetry. The strongly-correlated
insulating phase in the mean-field approximation is shown to be a -wave Bose
condensate of excitons with a spontaneous lattice deformation. We study the
equilibrium and linear response properties across the insulator-metal
transition. Our theory supports the empirical correlation between the lattice
deformation and the magnetic susceptibility and predicts measurable ultrasonic
and high-frequency phonon behavior in mixed-valent semiconductors.Comment: 5 pages, 3 encapsulated PostScript figure
Spectral functions of the Falicov-Kimball model with electronic ferroelectricity
We calculate the angular resolved photoemission spectrum of the
Falicov-Kimball model with electronic ferroelectricity where - and
-electrons have different hoppings. In mix-valence regimes, the presence of
strong scattering processes between - excitons and a hole, created by
emission of an electron, leads to the formation of pseudospin polarons and
novel electronic structures with bandwidth scaling with that of -
excitons. Especially, in the two-dimensional case, we find that flat regions
exist near the bottom of the quasiparticle band in a wide range of the - and
-level energy difference.Comment: 5 pages, 5 figure
Influence of Hybridization on the Properties of the Spinless Falicov-Kimball Model
Without a hybridization between the localized f- and the conduction (c-)
electron states the spinless Falicov-Kimball model (FKM) is exactly solvable in
the limit of high spatial dimension, as first shown by Brandt and Mielsch. Here
I show that at least for sufficiently small c-f-interaction this exact
inhomogeneous ground state is also obtained in Hartree-Fock approximation. With
hybridization the model is no longer exactly solvable, but the approximation
yields that the inhomogeneous charge-density wave (CDW) ground state remains
stable also for finite hybridization V smaller than a critical hybridization
V_c, above which no inhomogeneous CDW solution but only a homogeneous solution
is obtained. The spinless FKM does not allow for a ''ferroelectric'' ground
state with a spontaneous polarization, i.e. there is no nonvanishing
-expectation value in the limit of vanishing hybridization.Comment: 7 pages, 6 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.
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
Linear and nonlinear optical characteristics of the Falicov-Kimball model
We calculate the linear and nonlinear optical properties of the
Falicov-Kimball model for a mixed-valent system within the self-consistent
mean-field approximation. Second-harmonic generation can only occur if the
mixed-valent state has a built-in coherence between the itinerant d-electrons
and the localized f-holes. By contrast, second-harmonic generation cannot occur
for solutions of the model with f-site occupation as a good quantum number. As
an experimental test of coherence in mixed-valent compounds we propose a
measurement of the dynamic second-order susceptibility.Comment: 4 pages, 2 PostScript figures, to appear in Physical Review Letter
Theory of Electronic Ferroelectricity
We present a theory of the linear and nonlinear optical characteristics of
the insulating phase of the Falicov-Kimball model within the self-consistent
mean-field approximation. The Coulomb attraction between the itinerant
d-electrons and the localized f-holes gives rise to a built-in coherence
between the d and f-states, which breaks the inversion symmetry of the
underlying crystal, leading to: (1) electronic ferroelectricity, (2)
ferroelectric resonance, and (3) a nonvanishing susceptibility for
second-harmonic generation. As experimental tests of such a built-in coherence
in mixed-valent compounds we propose measurements of the static dielectric
constant, the microwave absorption spectrum, and the dynamic second-order
susceptibility.Comment: 15 pages, 5 PostScript figures, submitted to Physical Review
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