263 research outputs found
Formation of an Edge Striped Phase in Fractional Quantum Hall Systems
We have performed an exact diagonalization study of up to N=12 interacting
electrons on a disk at filling for both Coulomb and
short-range interaction for which Laughlin wave function is the exact solution.
For Coulomb interaction and we find persistent radial oscillations
in electron density, which are not captured by the Laughlin wave function. Our
results srongly suggest formation of a chiral edge striped phase in quantum
Hall systems. The amplitude of the charge density oscillations decays slowly,
perhaps as a square root of the distance from the edge; thus the spectrum of
edge excitations is likely to be affected.Comment: 4 pages, 3 Figs. include
Evidence for composite nature of quasiparticles in the 2D t-J model
It is shown that the dynamics of a single hole in a quantum antiferromagnet
(described by the t--J model) can be simply understood in terms of a composite
quasiparticle. This description provides naturally two different energy scales
t and J corresponding to the inverse masses of the charge (holon) and spin
(spinon) elementary excitations respectively. This picture is consistent with
the exact results obtained on small clusters for the single hole spectral
function and optical conductivity providing that one assumes the existence of a
string-like force of magnitude J between the holon and the spinon. Then the
hole quasiparticle can be interpreted as a bound state of its two constituents.Comment: 5 pages (revtex), 6 figures uuencoded, (Submitted to Nuclear Physics
B
Electromagnetic field angular momentum in condensed matter systems
Various electromagnetic systems can carry an angular momentum in their {\bf
E} and {\bf B} fields. The electromagnetic field angular momentum (EMAM) of
these systems can combine with the spin angular momentum to give composite
fermions or composite bosons. In this paper we examine the possiblity that an
EMAM could provide an explanation of the fractional quantum Hall effect (FQHE)
which is complimentary to the Chern-Simons explanation. We also examine a toy
model of a non-BCS superconductor (e.g. high superconductors) in terms of
an EMAM. The models presented give a common, simple picture of these two
systems in terms of an EMAM. The presence of an EMAM in these systems might be
tested through the observation of the decay modes of a charged, spin zero
unstable particle inside one of these systems.Comment: 17 pages, no figures, to be published in Phys. Rev.
Invariance of Charge of Laughlin Quasiparticles
A Quantum Antidot electrometer has been used in the first direct observation
of the fractionally quantized electric charge. In this paper we report
experiments performed on the integer i = 1, 2 and fractional f = 1/3 quantum
Hall plateaus extending over a filling factor range of at least 27%. We find
the charge of the Laughlin quasiparticles to be invariantly e/3, with standard
deviation of 1.2% and absolute accuracy of 4%, independent of filling,
tunneling current, and temperature.Comment: 4 pages, 5 fig
Theory of Shubnikov--De Haas Oscillations Around the Filling Factor of the Landau Level: Effect of Gauge Field Fluctuations
We present a theory of magnetooscillations around the Landau level
filling factor based on a model with a fluctuating Chern--Simons field. The
quasiclassical treatment of the problem is appropriate and leads to an
unconventional behavior of the
amplitude of oscillations. This result is in good qualitative agreement with
available experimental data.Comment: Revtex, 4 pages, 1 figure attached as PostScript fil
Topological Mechanism of Superconductivity
We outline the basic ideas of the topological mechanisms of
superconductivity. A gauged model of correlated electronic system where a
topological fluid is formed as a result of a strong interaction is discussed.Comment: 38 pages, latex, no figure
Invariant structure of the hierarchy theory of fractional quantum Hall states with spin
We describe the invariant structure common to abelian fractional quantum Hall
systems with spin. It appears in a generalization of the lattice description of
the polarized hierarchy that encompasses both partially polarized and
unpolarized ground state systems. We formulate, using the spin-charge
decomposition, conditions that should be satisfied so that the description is
SU(2) invariant. In the case of the spin- singlet hierarchy construction, we
find that there are as many SU(2) symmetries as there are levels in the
construction. We show the existence of a spin and charge lattice for the
systems with spin. The ``gluing'' of the charge and spin degrees of freedom in
their bulk is described by the gluing theory of lattices.Comment: 21 pages, LaTex, Submitted to Phys. Rev.
Plateaux Transitions in the Pairing Model:Topology and Selection Rule
Based on the two-dimensional lattice fermion model, we discuss transitions
between different pairing states. Each phase is labeled by an integer which is
a topological invariant and characterized by vortices of the Bloch
wavefunction. The transitions between phases with different integers obey a
selection rule. Basic properties of the edge states are revealed. They reflect
the topological character of the bulk. Transitions driven by randomness are
also discussed numerically.Comment: 8 pages with 2 postscript figures, RevTe
Integer quantum Hall effect for hard-core bosons and a failure of bosonic Chern-Simons mean-field theories for electrons at half-filled Landau level
Field-theoretical methods have been shown to be useful in constructing simple
effective theories for two-dimensional (2D) systems. These effective theories
are usually studied by perturbing around a mean-field approximation, so the
question whether such an approximation is meaningful arises immediately. We
here study 2D interacting electrons in a half-filled Landau level mapped onto
interacting hard-core bosons in a magnetic field. We argue that an interacting
hard-core boson system in a uniform external field such that there is one flux
quantum per particle (unit filling) exhibits an integer quantum Hall effect. As
a consequence, the mean-field approximation for mapping electrons at
half-filling to a boson system at integer filling fails.Comment: 13 pages latex with revtex. To be published in Phys. Rev.
Confinement of Spin and Charge in High-Temperature Superconductors
By exploiting the internal gauge-invariance intrinsic to a spin-charge
separated electron, we show that such degrees of freedom must be confined in
two-dimensional superconductors experiencing strong inter-electron repulsion.
We also demonstrate that incipient confinement in the normal state can prevent
chiral spin-fluctuations from destroying the cross-over between strange and
psuedo-gap regimes in under-doped high-temperature superconductors. Last, we
suggest that the negative Hall anomaly observed in these materials is connected
with this confinement effect.Comment: 12 pages, 1 postscript figure, to appear in PRB (RC), May 199
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