151 research outputs found
SLIDES: Appropriate Sustainable Energy Technologies: A Light to the World
Presenter: Jason Aamodt, Attorney; Adjunct Professor, University of Tulsa
15 slide
On the Beta Function for Anisotropic Current Interactions in 2D
By making use of current-algebra Ward identities we study renormalization of
general anisotropic current-current interactions in 2D. We obtain a set of
algebraic conditions that ensure the renormalizability of the theory to all
orders. In a certain minimal prescription we compute the beta function to all
orders.Comment: 7 pages, 6 figures. v2: References added and typos corrected; v3:
cancellation of finite parts more accurately state
K-matrices for non-abelian quantum Hall states
Two fundamental aspects of so-called non-abelian quantum Hall states (the
q-pfaffian states and more general) are a (generalized) pairing of the
participating electrons and the non-abelian statistics of the quasi-hole
excitations. In this paper, we show that these two aspects are linked by a
duality relation, which can be made manifest by considering the K-matrices that
describe the exclusion statistics of the fundamental excitations in these
systems.Comment: LaTeX, 12 page
The Haldane-Rezayi Quantum Hall State and Magnetic Flux
We consider the general abelian background configurations for the
Haldane-Rezayi quantum Hall state. We determine the stable configurations to be
the ones with the spontaneous flux of with .
This gives the physical mechanism by which the edge theory of the state becomes
identical to the one for the 331 state. It also provides a new experimental
consequence which can be tested in the enigmatic plateau in a single
layer system.Comment: RevTex, 5 pages, 2 figures. v2:minor corrections. v4: published
version. Discussion on the thermodynamic limit adde
Quasi-Spin-Charge Separation and the Spin Quantum Hall Effect
We use quantum field theory methods to study the network model for the spin
quantum hall transition. When the couplings are fine tuned in a certain way,
the spin and charge degrees of freedom, corresponding to the supercurrent
algebras su(2) and osp(2|2) respectively, decouple in the renormalization group
flow. The infrared fixed point of this simpler theory is the coset
osp(4|4)/su(2) which is closely related to the current algebra osp(2|2) but not
identical. Some critical exponents are computed and shown to agree with the
recent predictions based on percolation.Comment: 20 pages, two figures, Some subtleties in implementing the coset are
pointed out, so that the resulting fixed point theory is not precisely the
osp(2|2) current algebra. This modifies the comparison with percolatio
Freezing transitions and the density of states of 2D random Dirac Hamiltonians
Using an exact mapping to disordered Coulomb gases, we introduce a novel
method to study two dimensional Dirac fermions with quenched disorder in two
dimensions which allows to treat non perturbative freezing phenomena. For
purely random gauge disorder it is known that the exact zero energy eigenstate
exhibits a freezing-like transition at a threshold value of disorder
. Here we compute the dynamical exponent which
characterizes the critical behaviour of the density of states around zero
energy, and find that it also exhibits a phase transition. Specifically, we
find that (and ) with for and
for . For a finite system size we find large
sample to sample fluctuations with a typical .
Adding a scalar random potential of small variance , as in the
corresponding quantum Hall system, yields a finite noncritical whose scaling exponent exhibits two transitions, one
at and the other at . These transitions are shown
to be related to the one of a directed polymer on a Cayley tree with random
signs (or complex) Boltzmann weights. Some observations are made for the strong
disorder regime relevant to describe transport in the quantum Hall system
Separation of spin and charge in paired spin-singlet quantum Hall states
We propose a series of paired spin-singlet quantum Hall states, which exhibit
a separation of spin and charge degrees of freedom. The fundamental excitations
over these states, which have filling fraction \nu=2/(2m+1) with m an odd
integer, are spinons (spin-1/2 and charge zero) or fractional holons (charge
+/- 1/(2m+1) and spin zero). The braid statistics of these excitations are
non-abelian. The mechanism for the separation of spin and charge in these
states is topological: spin and charge excitations are liberated by binding to
a vortex in a p-wave pairing condensate. We briefly discuss related, abelian
spin-singlet states and possible transitions.Comment: 4 pages, uses revtex
Strong Coupling Fixed Points of Current Interactions and Disordered Fermions in 2D
The all-orders beta function is used to study disordered Dirac fermions in
2D. The generic strong coupling fixed `points' of anisotropic current-current
interactions at large distances are actually isotropic manifolds corresponding
to subalgebras of the maximal current algebra at short distances. The IR
theories are argued to be current algebra cosets. We illustrate this with the
simple example of anisotropic su(2), which is the physics of
Kosterlitz-Thouless transitions. We work out the phase diagram for the
Chalker-Coddington network model which is in the universality class of the
integer Quantum Hall transition. One massless phase is in the universality
class of dense polymers.Comment: published version (Phys. Rev. B
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