6,503 research outputs found
Masses and Interactions of q-Fermionic Knots
The q-electroweak theory suggests a description of elementary particles as
solitons labelled by the irreducible representations of SU_q(2). Since knots
may also be labelled by the irreducible representations of SU_q(2), we study a
model of elementary particles based on a one-to-one correspondence between the
four families of Fermions (leptons, neutrinos, (-1/3) quarks, (2/3) quarks) and
the four simplest knots (trefoils). In this model the three particles of each
family are identified with the ground and first two excited states of their
common trefoil. Guided by the standard electroweak theory we calculate
conditions restricting the masses of the fermions and the interactions between
them.
In its present form the model predicts a fourth generation of fermions as
well as a neutrino spectrum. The same model with q almost equal to 1 is
compatible with the Kobayashi-Maskawa matrix. Depending on the test of these
predictions, the model may be refined.Comment: 40 pages, 2 figures, latex forma
Collapse of Charge Gap in Random Mott Insulators
Effects of randomness on interacting fermionic systems in one dimension are
investigated by quantum Monte-Carlo techniques. At first, interacting spinless
fermions are studied whose ground state shows charge ordering. Quantum phase
transition due to randomness is observed associated with the collapse of the
charge ordering. We also treat random Hubbard model focusing on the Mott gap.
Although the randomness closes the Mott gap and low-lying states are created,
which is observed in the charge compressibility, no (quasi-) Fermi surface
singularity is formed. It implies localized nature of the low-lying states.Comment: RevTeX with 3 postscript figure
Are Bosonic Replicas Faulty?
Motivated by the ongoing discussion about a seeming asymmetry in the
performance of fermionic and bosonic replicas, we present an exact,
nonperturbative approach to zero-dimensional replica field theories belonging
to the broadly interpreted "beta=2" Dyson symmetry class. We then utilise the
formalism developed to demonstrate that the bosonic replicas do correctly
reproduce the microscopic spectral density in the QCD inspired chiral Gaussian
unitary ensemble. This disproves the myth that the bosonic replica field
theories are intrinsically faulty.Comment: 4.3 pages; final version to appear in PR
Critical behavior of density of states near Fermi energy in low-dimensional disordered metals
We study the effect of electron-electron interaction on the one-particle
density of states (\emph{DOS}) of low-dimensional
disordered metals near Fermi energy within the framework of the finite
temperature conventional impurity diagram technique. We consider only diffusive
limit and by a geometric re-summation of the most singular first order
self-energy corrections via the Dyson equation we obtain a non-divergent
solution for the \emph{DOS} at low energies, while for higher energies the
well-known Altshuler-Aronov corrections are recovered. At the Fermi level
, this indicates that interacting disordered
two- and quasi-one-dimensional systems are in insulating state at zero
temperature. The obtained results are in good agreement with recent tunneling
experiments on two-dimensional GaAs/AlGaAs heterostructures and
quasi-one-dimensional doped multiwall carbon nanotubes.Comment: 8 pages, 4 figure
Renormalization of hole-hole interaction at decreasing Drude conductivity
The diffusion contribution of the hole-hole interaction to the conductivity
is analyzed in gated GaAs/InGaAs/GaAs heterostructures. We show
that the change of the interaction correction to the conductivity with the
decreasing Drude conductivity results both from the compensation of the singlet
and triplet channels and from the arising prefactor in the
conventional expression for the interaction correction.Comment: 6 pages, 5 figure
A model for the accidental catalysis of protein unfolding in vivo
Activated processes such as protein unfolding are highly sensitive to
heterogeneity in the environment. We study a highly simplified model of a
protein in a random heterogeneous environment, a model of the in vivo
environment. It is found that if the heterogeneity is sufficiently large the
total rate of the process is essentially a random variable; this may be the
cause of the species-to-species variability in the rate of prion protein
conversion found by Deleault et al. [Nature, 425 (2003) 717].Comment: 5 pages, 2 figure
Hole-hole interaction in a strained InGaAs two dimensional system
The interaction correction to the conductivity of 2D hole gas in strained
GaAs/InGaAs/GaAs quantum well structures was studied. It is shown
that the Zeeman splitting, spin relaxation and ballistic contribution should be
taking into account for reliable determination of the Fermi-liquid constant
. The proper consideration of these effects allows us to describe
both th temperature and magnetic field dependences of the conductivity and find
the value of .Comment: 7 pages, 6 figure
Cliffordons
At higher energies the present complex quantum theory with its unitary group
might expand into a real quantum theory with an orthogonal group, broken by an
approximate operator at lower energies. Implementing this possibility
requires a real quantum double-valued statistics. A Clifford statistics,
representing a swap (12) by a difference of Clifford units,
is uniquely appropriate. Unlike the Maxwell-Boltzmann, Fermi-Dirac,
Bose-Einstein, and para- statistics, which are tensorial and single-valued, and
unlike anyons, which are confined to two dimensions, Clifford statistics are
multivalued and work for any dimensionality. Nayak and Wilczek proposed a
Clifford statistics for the fractional quantum Hall effect. We apply them to
toy quanta here. A complex-Clifford example has the energy spectrum of a system
of spin-1/2 particles in an external magnetic field. This supports the proposal
that the double-valued rotations --- spin --- seen at current energies might
arise from double-valued permutations --- swap --- to be seen at higher
energies. Another toy with real Clifford statistics illustrates how an
effective imaginary unit can arise naturally within a real quantum theory.Comment: 15 pages, no figures; original title ("Clifford statistics") changed;
to appear in J. Math. Phys., 42, 2001. Key words: Clifford statistics,
cliffordons, double-valued representations of permutation groups, spin, swap,
imaginary unit , applications to quantum space-time and the Standard
Model. Some of these results were presented at the American Physical Society
Centennial Meeting, Atlanta, March 25, 199
Electron Interactions in Bilayer Graphene: Marginal Fermi Liquid Behaviour and Zero Bias Anomaly
We analyze the many-body properties of bilayer graphene (BLG) at charge
neutrality, governed by long range interactions between electrons. Perturbation
theory in a large number of flavors is used in which the interactions are
described within a random phase approximation, taking account of dynamical
screening effect. Crucially, the dynamically screened interaction retains some
long range character, resulting in renormalization of key quantities.
We carry out the perturbative renormalization group calculations to one loop
order, and find that BLG behaves to leading order as a marginal Fermi liquid.
Interactions produce a log squared renormalization of the quasiparticle residue
and the interaction vertex function, while all other quantities renormalize
only logarithmically. We solve the RG flow equation for the Green function with
logarithmic accuracy, and find that the quasiparticle residue flows to zero
under RG. At the same time, the gauge invariant quantities, such as the
compressibility, remain finite to order, with subleading logarithmic
corrections. The key experimental signature of this marginal Fermi liquid
behavior is a strong suppression of the tunneling density of states, which
manifests itself as a zero bias anomaly in tunneling experiments in a regime
where the compressibility is essentially unchanged from the non-interacting
value.Comment: 12 pages, 3 figure
Diffusion and ballistic contributions of the interaction correction to the conductivity of a two-dimensional electron gas
The results of an experimental study of interaction quantum correction to the
conductivity of two-dimensional electron gas in AB semiconductor
quantum well heterostructures are presented for a wide range of
-parameter (), where is the transport
relaxation time. A comprehensive analysis of the magnetic field and temperature
dependences of the resistivity and the conductivity tensor components allows us
to separate the ballistic and diffusion parts of the correction. It is shown
that the ballistic part renormalizes in the main the electron mobility, whereas
the diffusion part contributes to the diagonal and does not to the off-diagonal
component of the conductivity tensor. We have experimentally found the values
of the Fermi-liquid parameters describing the electron-electron contribution to
the transport coefficients, which are found in a good agreement with the
theoretical results.Comment: 11 pages, 11 figure
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