190 research outputs found
Spin and orbital effects in a 2D electron gas in a random magnetic field
Using the method of superbosonization we consider a model of a random
magnetic field (RMF) acting on both orbital motion and spin of electrons in two
dimensions. The method is based on exact integration over one particle degrees
of freedom and reduction of the problem to a functional integral over
supermatrices . We consider a general case when
both the direction of the RMF and the g-factor of the Zeeman splitting are
arbitrary. Integrating out fast variations of we come to a standard
collisional unitary non-linear -model. The collision term consists of
orbital, spin and effective spin-orbital parts. For a particular problem of a
fixed direction of RMF, we show that additional soft excitations identified
with spin modes should appear. Considering % -correlated weak RMF and
putting g=2 we find the transport time . This time is 2 times
smaller than that for spinless particles.Comment: 9 pages, no figure
Magnetoresistance of composite fermions at \nu=1/2
We have studied temperature dependence of both diagonal and Hall resistivity
in the vicinity of . Magnetoresistance was found to be positive and
almost independent of temperature: temperature enters resistivity as a
logarithmic correction. At the same time, no measurable corrections to the Hall
resistivity has been found. Neither of these results can be explained within
the mean-field theory of composite fermions by an analogy with conventional
low-field interaction theory. There is an indication that interactions of
composite fermions with fluctuations of the gauge field may reconcile the
theory and experiment.Comment: 9 pages, 4 figure
Chiral Spin Liquids and Quantum Error Correcting Codes
The possibility of using the two-fold topological degeneracy of spin-1/2
chiral spin liquid states on the torus to construct quantum error correcting
codes is investigated. It is shown that codes constructed using these states on
finite periodic lattices do not meet the necessary and sufficient conditions
for correcting even a single qubit error with perfect fidelity. However, for
large enough lattice sizes these conditions are approximately satisfied, and
the resulting codes may therefore be viewed as approximate quantum error
correcting codes.Comment: 9 pages, 3 figure
Magnetoresistance of Two-Dimensional Fermions in a Random Magnetic Field
We perform a semiclassical calculation of the magnetoresistance of spinless
two-dimensional fermions in a long-range correlated random magnetic field. In
the regime relevant for the problem of the half filled Landau level the
perturbative Born approximation fails and we develop a new method of solving
the Boltzmann equation beyond the relaxation time approximation. In absence of
interactions, electron density modulations, in-plane fields, and Fermi surface
anisotropy we obtain a quadratic negative magnetoresistance in the weak field
limit.Comment: 12 pages, Latex, no figures, Nordita repor
Electron Localization in a 2D System with Random Magnetic Flux
Using a finite-size scaling method, we calculate the localization properties
of a disordered two-dimensional electron system in the presence of a random
magnetic field. Below a critical energy all states are localized and the
localization length diverges when the Fermi energy approaches the
critical energy, {\it i.e.} . We find that
shifts with the strength of the disorder and the amplitude of the random
magnetic field while the critical exponent () remains unchanged
indicating universality in this system. Implications on the experiment in
half-filling fractional quantum Hall system are also discussed.Comment: 4 pages, RevTex 3.0, 5 figures(PS files available upon request),
#phd1
Low-energy sector of the S=1/2 Kagome antiferromagnet
Starting from a modified version of the the S=1/2 Kagome antiferromagnet to
emphasize the role of elementary triangles, an effective Hamiltonian involving
spin and chirality variables is derived. A mean-field decoupling that retains
the quantum nature of these variables is shown to yield a Hamiltonian that can
be solved exactly, leading to the following predictions: i) The number of low
lying singlet states increase with the number of sites N like 1.15 to the power
N; ii) A singlet-triplet gap remains in the thermodynamic limit; iii) Spinons
form boundstates with a small binding energy. By comparing these properties
with those of the regular Kagome lattice as revealed by numerical experiments,
we argue that this description captures the essential low energy physics of
that model.Comment: 4 pages including 3 figure
Universal Fluctuation of the Hall Conductance in the Random Magnetic Field
We show that the RMS fluctuation of the antisymmetric part of the Hall
conductance of a planar mesoscopic metal in a random magnetic field with zero
average is universal, of the order of , independent of the amplitude of
the random magnetic field and the diffusion coefficient even in the weak field
limit. This quantity is exactly zero in the case of ordinary scalar disorder.
We propose an experiment to measure this surprising effect, and also discuss
its implications on the localization physics of this system. Our result applies
to some other systems with broken time-reversal ({\bf T}) symmetry.Comment: 4 pages, Revtex 3.0; added the paragraph regarding applicability to
other systems with broken T-invariance, misc. minor change
A Unified Model for Two Localisation Problems: Electron States in Spin-Degenerate Landau Levels, and in a Random Magnetic Field
A single model is presented which represents both of the two apparently
unrelated localisation problems of the title. The phase diagram of this model
is examined using scaling ideas and numerical simulations. It is argued that
the localisation length in a spin-degenerate Landau level diverges at two
distinct energies, with the same critical behaviour as in a spin-split Landau
level, and that all states of a charged particle moving in two dimensions, in a
random magnetic field with zero average, are localised.Comment: 7 pages (RevTeX 3.0) plus 4 postscript figure
Wavefunction and level statistics of random two dimensional gauge fields
Level and wavefunction statistics have been studied for two dimensional
clusters of the square lattice in the presence of random magnetic fluxes.
Fluxes traversing lattice plaquettes are distributed uniformly between - (1/2)
Phi_0 and (1/2) Phi_0 with Phi_0 the flux quantum. All considered statistics
start close to the corresponding Wigner-Dyson distribution for small system
sizes and monotonically move towards Poisson statistics as the cluster size
increases. Scaling is quite rapid for states close to the band edges but really
difficult to observe for states well within the band. Localization properties
are discussed considering two different scenarios. Experimental measurement of
one of the considered statistics --wavefunction statistics seems the most
promising one-- could discern between both possibilities. A real version of the
previous model, i.e., a system that is invariant under time reversal, has been
studied concurrently to get coincidences and differences with the Hermitian
model.Comment: 12 twocolumnn pages in revtex style, 17 postscript figures, to be
published in PRB, send comments to [email protected]
Antilocalization in a 2D Electron Gas in a Random Magnetic Field
We construct a supersymmetric field theory for the problem of a
two-dimensional electron gas in a random, static magnetic field. We find a new
term in the free energy, additional to those present in the conventional
unitary sigma-model, whose presence relies on the long-range nature of the
disorder correlations. Under a perturbative renormalization group analysis of
the free energy, the new term contributes to the scaling function at one-loop
order and leads to antilocalization.Comment: 4 pages, RevTe
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