70 research outputs found
Rectified voltage induced by a microwave field in a confined two-dimensional electron gas with a mesoscopic static vortex
We investigate the effect of a microwave field on a confined two dimensional
electron gas which contains an insulating region comparable to the Fermi
wavelength. The insulating region causes the electron wave function to vanish
in that region. We describe the insulating region as a static vortex. The
vortex carries a flux which is determined by vanishing of the charge density of
the electronic fluid due to the insulating region. The sign of the vorticity
for a hole is opposite to the vorticity for adding additional electrons. The
vorticity gives rise to non-commuting kinetic momenta. The two dimensional
electron gas is described as fluid with a density which obeys the Fermi-Dirac
statistics. The presence of the confinement potential gives rise to vanishing
kinetic momenta in the vicinity of the classical turning points. As a result,
the Cartesian coordinate do not commute and gives rise to a Hall current which
in the presence of a modified Fermi-Surface caused by the microwave field
results in a rectified voltage. Using a Bosonized formulation of the two
dimensional gas in the presence of insulating regions allows us to compute the
rectified current. The proposed theory may explain the experimental results
recently reported by J. Zhang et al.Comment: 14 pages, 2 figure
Dirac's method for constraints - an application to quantum wires,the 0.7 conductance anomaly
We investigate the Hubbard model in the limit , which is equivalent
to the statistical condition of exclusion of double occupancy. We solve this
problem using Dirac's method for constraints. The constraints are solved within
the Bosonization method. We find that the constraints modify the anomalous
commutator.
We apply this theory to quantum wires at finite temperatures where the
Hubbard interaction is . We find that the anomalous commutator
induced by the constraints gives rise to the 0.7 anomalous conductance.Comment: To be published in J.Phys:Condens.Matter, April 201
Kondo model for the "0.7 anomaly" in transport through a quantum point contact
Experiments on quantum point contacts have highlighted an anomalous
conductance plateau at , with features suggestive of the Kondo
effect. Here we present an Anderson model for transport through a point contact
which we analyze in the Kondo limit. Hybridization to the band increases
abruptly with energy but decreases with valence, so that the background
conductance and the Kondo temperature are dominated by different valence
transitions. This accounts for the high residual conductance above . A
spin-polarized current is predicted for Zeeman splitting .Comment: 4 page
Singlet pairing in the double chain t-J model
Applying the bosonization procedure to constrained fermions in the framework
of the one dimensional t-J model we discuss a scenario of singlet
superconductivity in a lightly doped double chain where all spin excitations
remain gapful.Comment: 13 pages, TeX, C Version 3.
Phases of two coupled Luttinger liquids
A model of two interacting one--dimensional fermion systems (``Luttinger
liquids'') coupled by single--particle hopping is investigated. Bosonization
allows a number of exact statements to be made. In particular, for forward
scattering only, the model contains two massless boson sectors and an Ising
type critical sector. For general interactions, there is a spin excitation gap
and either s-- or d--type pairing fluctuations dominate. It is shown that the
same behavior is also found for strong interactions. A possible scenario for
the crossover to a Fermi liquid in a many chain system is discussed.Comment: revised version, some changes, 11 pages, no figures, RexTeX3.
Magnon-Paramagnon Effective Theory of Itinerant Ferromagnets
The present work is devoted to the derivation of an effective
magnon-paramagnon theory starting from a microscopic lattice model of
ferromagnetic metals. For some values of the microscopic parameters it
reproduces the Heisenberg theory of localized spins. For small magnetization
the effective model describes the physics of weak ferromagnets in accordance
with the experimental results. It is written in a way which keeps O(3) symmetry
manifest,and describes both the order and disordered phases of the system.
Analytical expression for the Curie temperature,which takes the magnon
fluctuations into account exactly, is obtained. For weak ferromagnets is
well below the Stoner's critical temperature and the critical temperature
obtained within Moriya's theory.Comment: 14 pages, changed content,new result
Ferromagnetic phases in spin-Fermion systems
Spin-Fermion systems which obtain their magnetic properties from a system of
localized magnetic moments being coupled to conducting electrons are
considered. The dynamical degrees of freedom are spin- operators of
localized spins and spin-1/2 Fermi operators of itinerant electrons.
Renormalized spin-wave theory, which accounts for the magnon-magnon
interaction, and its extension are developed to describe the two ferrimagnetic
phases in the system: low temperature phase , where all electrons
contribute the ordered ferromagnetic moment, and high temperature phase
, where only localized spins form magnetic moment. The
magnetization as a function of temperature is calculated. The theoretical
predictions are utilize to interpret the experimentally measured
magnetization-temperature curves of ..Comment: 9 pages, 5 figure
Collective excitations in double-layer quantum Hall systems
We study the collective excitation spectra of double-layer quantum-Hall
systems using the single mode approximation. The double-layer in-phase density
excitations are similar to those of a single-layer system. For out-of-phase
density excitations, however, both inter-Landau-level and intra-Landau-level
double-layer modes have finite dipole oscillator strengths. The oscillator
strengths at long wavelengths for the latter transitions are shifted upward by
interactions by identical amounts proportional to the interlayer Coulomb
coupling. The intra-Landau-level out-of-phase mode has a gap when the ground
state is incompressible except in the presence of spontaneous inter-layer
coherence. We compare our results with predictions based on the
Chern-Simons-Landau-Ginzburg theory for double-layer quantum Hall systems.Comment: RevTeX, 21 page
Integer quantum Hall effect for hard-core bosons and a failure of bosonic Chern-Simons mean-field theories for electrons at half-filled Landau level
Field-theoretical methods have been shown to be useful in constructing simple
effective theories for two-dimensional (2D) systems. These effective theories
are usually studied by perturbing around a mean-field approximation, so the
question whether such an approximation is meaningful arises immediately. We
here study 2D interacting electrons in a half-filled Landau level mapped onto
interacting hard-core bosons in a magnetic field. We argue that an interacting
hard-core boson system in a uniform external field such that there is one flux
quantum per particle (unit filling) exhibits an integer quantum Hall effect. As
a consequence, the mean-field approximation for mapping electrons at
half-filling to a boson system at integer filling fails.Comment: 13 pages latex with revtex. To be published in Phys. Rev.
Fermionic Chern-Simons theory for the Fractional Quantum Hall Effect in Bilayers
We generalize the fermion Chern-Simons theory for the Fractional Hall Effect
(FQHE) which we developed before, to the case of bilayer systems. We study the
complete dynamic response of these systems and predict the experimentally
accessible optical properties. In general, for the so called
states, we find that the spectrum of collective excitations has a gap, and the
wave function has the Jastrow-Slater form, with the exponents determined by the
coefficients , and . We also find that the states, {\it
i.~e.~}, those states whose filling fraction is , have a gapless mode
which may be related with the spontaneous appearance of the interlayer
coherence. Our results also indicate that the gapless mode makes a contribution
to the wave function of the states analogous to the phonon
contribution to the wave function of superfluid . We calculate the
Hall conductance, and the charge and statistics of the quasiparticles. We also
present an generalization of this theory relevant to spin unpolarized
or partially polarized single layers.Comment: 55 pages, Urbana Prepin
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