203 research outputs found
Skyrmion Physics Beyond the Lowest Landau Level Approximation
The effects of Landau level mixing and finite thickness of the
two-dimensional electron gas on the relative stability of skyrmion and single
spin-flip excitations at Landau level filling factor have been
investigated. Landau level mixing is studied by fixed-phase diffusion Monte
Carlo and finite thickness is included by modifying the effective Coulomb
interaction. Both Landau level mixing and finite thickness lower skyrmion
excitation energies and favor skyrmions with fewer spin flips. However, the two
effects do not work `coherently'. When finite thickness is included the effect
of Landau level mixing is strongly suppressed.Comment: 4 pages, 4 figure
Enhanced Behavioral Recovery from Sensorimotor Cortex Lesions After Pyramidotomy in Adult Rats
Unilateral transection of the bulbar
pyramid, performed before the ablation of the
ipsilateral sensorimotor cortex, has been shown
to facilitate the recovery of operantly conditioned
reflexes and compensatory processes in rats.
Such enhanced behaviorai recovery was absent
when only the sensorimotor cortex was ablated.
This phenomenon is explained by the switching
of motor activity under the control of the
cortico-rubrospinal system. Switching of the
descending influences is accomplished through
the following loop: cortico-rubrai projectionred
nucleus-inferior olive-cerebellum-thalamuscerebral
cortex. This suggests that a preliminary
lesion of the peripheral part of the
system, represented by a descending spinal
projection, facilitates the recovery processes to
develop during the subsequent destruction of its
central part
Quantum Hall Fluids on the Haldane Sphere: A Diffusion Monte Carlo Study
A generalized diffusion Monte Carlo method for solving the many-body
Schr\"odinger equation on curved manifolds is introduced and used to perform a
`fixed-phase' simulation of the fractional quantum Hall effect on the Haldane
sphere. This new method is used to study the effect of Landau level mixing on
the energy gap and the relative stability of spin-polarized and
spin-reversed quasielectron excitations.Comment: 13 pages, Revtex + psfig, figures include
Optimization of ground and excited state wavefunctions and van der Waals clusters
A quantum Monte Carlo method is introduced to optimize excited state trial
wavefunctions. The method is applied in a correlation function Monte Carlo
calculation to compute ground and excited state energies of bosonic van der
Waals clusters of upto seven particles. The calculations are performed using
trial wavefunctions with general three-body correlations
Bag Formation in Quantum Hall Ferromagnets
Charged skyrmions or spin-textures in the quantum Hall ferromagnet at filling
factor nu=1 are reinvestigated using the Hartree-Fock method in the lowest
Landau level approximation. It is shown that the single Slater determinant with
the minimum energy in the unit charge sector is always of the hedgehog form. It
is observed that the magnetization vector's length deviates locally from unity,
i.e. a bag is formed which accommodates the excess charge. In terms of a
gradient expansion for extended spin-textures a novel O(3) type of effective
action is presented, which takes bag formation into account.Comment: 13 pages, 3 figure
Fermi-sea-like correlations in a partially filled Landau level
The pair distribution function and the static structure factor are computed
for composite fermions. Clear and robust evidence for a structure is
seen in a range of filling factors in the vicinity of the half-filled Landau
level. Surprisingly, it is found that filled Landau levels of composite
fermions, i.e. incompressible FQHE states, bear a stronger resemblance to a
Fermi sea than do filled Landau levels of electrons.Comment: 23 pages, revte
Symplectic Structures for the Cubic Schrodinger equation in the periodic and scattering case
We develop a unified approach for construction of symplectic forms for 1D
integrable equations with the periodic and rapidly decaying initial data. As an
example we consider the cubic nonlinear Schr\"{o}dinger equation.Comment: This is expanded and corrected versio
Spontaneous Magnetization of Composite Fermions
It is argued that the composite fermion liquid is a promising candidate for
an observation of the elusive, interaction driven magnetization first proposed
by Bloch seven decades ago. In analogy to what is theoretically believed to be
the case for the idealized electron gas in zero magnetic field, this
spontaneously broken symmetry phase is predicted to occur prior to a transition
into the Wigner crystal.Comment: 5 pages, 4 figure
Magnons and skyrmions in fractional Hall ferromagnets
Recent experiments have established a qualitative difference between the
magnetization temperature-dependences of quantum Hall ferromagnets at
integer and fractional filling factors. We explain this difference in terms of
the relative energies of collective magnon and particle-hole excitations in the
two cases. Analytic calculations for hard-core model systems are used to
demonstrate that, in the fractional case, interactions suppress the
magnetization at finite temperatures and that particle-hole excitations rather
than long-wavelength magnons control at low .Comment: 4 pages, no figure
Hamiltonian Description of Composite Fermions: Calculation of Gaps
We analytically calculate gaps for the 1/3, 2/5, and 3/7 polarized and
partially polarized Fractional Quantum Hall states based on the Hamiltonian
Chern-Simons theory we have developed. For a class of potentials that are soft
at high momenta (due to the finite thickness of the sample) we find good
agreement with numerical and experimental results.Comment: 4 pages, 2 eps figures. One reference added, some typos (one in
equation 7) corrected, and minor notational modification
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