3,755 research outputs found
A number conserving theory for topologically protected degeneracy in one-dimensional fermions
Semiconducting nanowires in proximity to superconductors are among promising
candidates to search for Majorana fermions and topologically protected
degeneracies which may ultimately be used as building blocks for topological
quantum computers. The prediction of neutral Majorana fermions in the
proximity-induced superconducting systems ignores number-conservation and thus
leaves open the conceptual question of how a topological degeneracy that is
robust to all local perturbations arises in a number-conserving system. In this
work, we study how local attractive interactions generate a topological
ground-state near-degeneracy in a quasi one-dimensional superfluid using
bosonization of the fermions. The local attractive interactions opens a
topological quasiparticle gap in the odd channel wires (with more than one
channel) with end Majorana modes associated with a topological near-degeneracy.
We explicitly study the robustness of the topological degeneracy to local
perturbations and find that such local perturbations result in quantum phase
slips which split of the topological degeneracy by an amount that does not
decrease exponentially with the length of the wire, but still decreases rapidly
if the number of channels is large. Therefore a bulk superconductor with a
large number of channels is crucial for true topological degeneracy.Comment: 11 pages, 2 figure
Nonlocal Charge Transport Mediated by Spin Diffusion in the Spin-Hall Effect Regime
A nonlocal electric response in the spin-Hall regime, resulting from spin
diffusion mediating charge conduction, is predicted. The spin-mediated
transport stands out due to its long-range character, and can give dominant
contribution to nonlocal resistance. The characteristic range of nonlocality,
set by the spin diffusion length, can be large enough to allow detection of
this effect in materials such as GaAs despite its small magnitude. The
detection is facilitated by a characteristic nonmonotonic dependence of
transresistance on the external magnetic field, exhibiting sign changes and
decay.Comment: 4 pages, 2 figure
Composite Fermions in Modulated Structures: Transport and Surface Acoustic Waves
Motivated by a recent experiment of Willett et al. [Phys. Rev. Lett. 78, 4478
(1997)], we employ semiclassical composite-fermion theory to study the effect
of a periodic density modulation on a quantum Hall system near Landau level
filling factor nu=1/2. We show that even a weak density modulation leads to
dramatic changes in surface-acoustic-wave (SAW) propagation, and propose an
explanation for several key features of the experimental observations. We
predict that properly arranged dc transport measurements would show a structure
similar to that seen in SAW measurements.Comment: Version published in Phys. Rev. Lett. Figures changed to show SAW
velocity shift. LaTeX, 5 pages, two included postscript figure
Superfluid-insulator transition in a moving system of interacting bosons
We analyze stability of superfluid currents in a system of strongly
interacting ultra-cold atoms in an optical lattice. We show that such a system
undergoes a dynamic, irreversible phase transition at a critical phase gradient
that depends on the interaction strength between atoms. At commensurate
filling, the phase boundary continuously interpolates between the classical
modulation instability of a weakly interacting condensate and the equilibrium
quantum phase transition into a Mott insulator state at which the critical
current vanishes. We argue that quantum fluctuations smear the transition
boundary in low dimensional systems. Finally we discuss the implications to
realistic experiments.Comment: updated refernces and introduction, minor correction
Parity Effect in a Small Superconducting Particle
Matveev and Larkin calculated the parity effect on the ground state energy of
a small superconducting particle in the regimes where the mean level spacing is
either large or small compared to the bulk gap. We perform a numerical
calculation which extends their results into the intermediate regime, where the
level spacing is of the same order as the bulk gap.Comment: 6 LaTeX pages, including 2 EPS figures; corrected reference and
spellin
Imaginary Squashing Mode Spectroscopy of Helium Three B
We have made precision measurements of the frequency of a collective mode of
the superfluid 3He-B order parameter, the J=2- imaginary squashing mode.
Measurements were performed at multiple pressures using interference of
transverse sound in an acoustic cavity. Transverse waves propagate in the
vicinity of this order parameter mode owing to off-resonant coupling. At the
crossing of the sound mode and the order parameter mode, the sound wave is
strongly attenuated. We use both velocity and attenuation measurements to
determine precise values of the mode frequency with a resolution between 0.1%
and 0.25%.Comment: 6 pages, 4 figures, submitted to proceedings of Quantum Fluids and
Solids (QFS) Conference 2006; revised 9/26/0
Tunneling effect on composite fermion pairing state in bilayer quantum Hall system
We discuss the composite fermion pairing state in bilayer quantum Hall
systems. After the evaluation of the range of the inter-layer separation in
which the quantum Hall state is stabilized, we discuss the effect of
inter-layer tunneling on the composite fermion pairing state at \nu=1/2. We
show that there is a cusp at the transition point between the Halperin (3,3,1)
state and the Pfaffian state.Comment: 6 pages, 4 figures, accepted for publication in Phys. Rev.
Composite Fermions with Orbital Magnetization
For quantum Hall systems, in the limit of large magnetic field (or
equivalently small electron band mass ), the static response of electrons
to a spatially varying magnetic field is largely determined by kinetic energy
considerations. This response is not correctly given in existing approximations
based on the Fermion Chern-Simons theory of the partially filled Landau level.
We remedy this problem by attaching an orbital magnetization to each fermion to
separate the current into magnetization and transport contributions, associated
with the cyclotron and guiding center motions respectively. This leads to a
Chern-Simons Fermi liquid description of the state which
correctly predicts the dependence of the static and dynamic response in
the limit .Comment: 4 pages, RevTeX, no figure
The half-filled Landau level - composite fermions and dipoles
The composite-fermion approach as formulated in the fermion Chern-Simons
theory has been very successful in describing the physics of the lowest Landau
level near Landau level filling factor 1/2. Recent work has emphasized the fact
that the true quasiparticles at these filling factors are electrically neutral
and carry an electric dipole moment. In a previous work, we discussed at length
two formulations in terms of dipolar quasiparticles. Here we briefly review one
approach - termed electron-centered quasiparticles - and show how it can be
extended from 1/2 to nearby filling factors where the quasiparticles carry both
an electric dipole moment and an overall charge.Comment: 10 pages, minor improvements of notation and referencin
Response Function of the Fractional Quantized Hall State on a Sphere II: Exact Diagonalization
We study the excitation spectra and the dynamical structure factor of quantum
Hall states in a finite size system through exact diagonalization. Comparison
is made between the numerical results so obtained and the analytic results
obtained from a modified RPA in the preceding companion paper. We find good
agreement between the results at low energies.Comment: 22 pages (REVTeX 3.0). 10 figures available on request. Complete
postscript file (including figures) for this paper are available on the World
Wide Web at http://cmtw.harvard.edu/~simon/ ; Preprint number HU-CMT-94S0
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