44 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
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
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
Edge reconstruction in the fractional quantum Hall regime
The interplay of electron-electron interaction and confining potential can
lead to the reconstruction of fractional quantum Hall edges. We have performed
exact diagonalization studies on microscopic models of fractional quantum Hall
liquids, in finite size systems with disk geometry, and found numerical
evidence of edge reconstruction under rather general conditions. In the present
work we have taken into account effects like layer thickness and Landau level
mixing, which are found to be of quantitative importance in edge physics. Due
to edge reconstruction, additional nonchiral edge modes arise for both
incompressible and compressible states. These additional modes couple to
electromagnetic fields and thus can be detected in microwave conductivity
measurements. They are also expected to affect the exponent of electron Green's
function, which has been measured in tunneling experiments. We have studied in
this work the electric dipole spectral function that is directly related to the
microwave conductivity measurement. Our results are consistent with the
enhanced microwave conductivity observed in experiments performed on samples
with an array of antidots at low temperatures, and its suppression at higher
temperatures. We also discuss the effects of the edge reconstruction on the
single electron spectral function at the edge.Comment: 19 pages, 12 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
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
Two-Roton Bound State in the Fractional Quantum Hall Effect
The true nature of the lowest-energy, long-wavelength neutral excitation of
the fractional quantum Hall effect has been a long outstanding problem. In this
Letter, we establish that it is a two-roton bound state.Comment: 4 pages, 4 figures; Physical Review Letters, in pres
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
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
Study of Low Energy Spin Rotons in the Fractional Quantum Hall Effect
Motivated by the discovery of extremely low energy collective modes in the
fractional quantum Hall effect (Kang, Pinczuk {\em et al.}), with energies
below the Zeeman energy, we study theoretically the spin reversed excitations
for fractional quantum Hall states at and 3/7 and find qualitatively
different behavior than for . We find that a low-energy,
charge-neutral "spin roton," associated with spin reversed excitations that
involve a change in the composite-fermion Landau level index, has energy in
reasonable agreement with experiment.Comment: Postscript figures included. Accepted in Phys. Rev. B (Rapid
Communication