9 research outputs found
Quantum Hall bilayer in dipole representation
The quantum Hall bilayer (QHB) at filling factor represents a
competition of Bose-Einstein condensation (BEC) at small distances between
layers and fermionic condensation, which influence grows with distance and
results in two separate Fermi liquid states of underlying quasiparticles at
very large (infinite) distance. The most intriguing question is whether at
intermediate distances between layers a special, distinct phase exists, or a
single transition occurs, with possibility that this happens at infinite
distance. Here, using a dipole representation of fermionic quasiparticles, we
find a support for the latter scenario: for a large, relevant interval BEC
condensation, identified as a Cooper -wave pairing of dipole quasiparticles,
wins over Cooper -wave pairing and wave excitonic pairing of the same
quasiparticles.Comment: 4 pages, 1 figur
Meron excitations in the nu =1 quantum Hall bilayer and the plasma analogy
We study meron quasiparticle excitations in the \nu = 1 quantum Hall bilayer.
Considering the well known single meron state, we introduce its effective form,
valid in the longdistance limit. That enables us to propose two (and more)
meron states in the same limit. Further, establishing a plasma analogy of the
(111) ground state, we find the impurities that play the role of merons and
derive meron charge distributions. Using the introduced meron constructions in
generalized (mixed) ground states and corresponding plasmas for arbitrary
distance between the layers, we calculate the interaction between the
construction implied impurities. We also find a correspondence between the
impurity interactions and meron interactions. This suggests a possible
explanation of the deconfinement of the merons recently observed in the
experiments.Comment: 5 pages, 3 figure
Composite bosons in bilayer nu = 1 system: An application of the Murthy-Shankar formalism
We calculate the dispersion of the out-of-phase mode characteristic for the
bilayer nu = 1 quantum Hall system applying the version of Chern-Simons theory
of Murthy and Shankar that cures the unwanted bare electron mass dependence in
the low-energy description of quantum Hall systems. The obtained value for the
mode when d, distance between the layers, is zero is in a good agreement with
the existing pseudospin picture of the system. For d nonzero but small we find
that the mode is linearly dispersing and its velocity to a good approximation
depends linearly on d. This is in agreement with the Hartree-Fock calculations
of the pseudospin picture that predicts a linear dependance on d, and contrary
to the naive Hartree predictions with dependence on the square-root of d. We
set up a formalism that enables one to consider fluctuations around the found
stationary point values. In addition we address the case of imbalanced layers
in the Murthy-Shankar formalism.Comment: 10 pages, 1 figur
Bulk and edge correlations in the compressible half-filled quantum Hall state
We study bulk and edge correlations in the compressible half-filled state,
using a modified version of the plasma analogy. The corresponding plasma has
anomalously weak screening properties, and as a consequence we find that the
correlations along the edge do not decay algebraically as in the Laughlin
(incompressible) case, while the bulk correlations decay in the same way. The
results suggest that due to the strong coupling between charged modes on the
edge and the neutral Fermions in the bulk, reflected by the weak screening in
the plasma analogue, the (attractive) correlation hole is not well defined on
the edge. Hence, the system there can be modeled as a free Fermi gas of {\em
electrons} (with an appropriate boundary condition). We finally comment on a
possible scenario, in which the Laughlin-like dynamical edge correlations may
nevertheless be realized.Comment: package now includes the file epsfig.sty, needed to incorporate
properly the 8 magnificent figure
Model interactions for Pfaffian paired states based on Chern-Simons field theory description
Error Probability of a Coherent <i>M</i>-ary PSK FSO System Influenced by Phase Noise
In this paper, we aim to develop an analytical framework for design and analysis of new generation mobile networks fronthaul/backhaul links based on the application of free-space optical (FSO) technology. Taking the receiver hardware imperfections into account, we present an efficient analytical approach in analyzing average symbol error probability (SEP) of the coherent FSO system employing M-ary phase-shift keying (PSK). Optical signal transmission is influenced by pointing errors and atmospheric turbulence. The signal intensity fluctuations caused by atmospheric turbulence are modeled by general MƔlaga (M) distribution, which takes into account the effect of multiple scattered components. We estimate the range of the signal-to-noise ratio at which the SEP floor appears, as well as the value of this non-removable error floor. The results illustrate that the effect of imperfect phase error compensation on the SEP is more critical under weaker turbulence conditions and for higher order modulation formats. Based on the analytical tools presented here, it is possible to estimate tolerable value of standard deviation of phase noise for the given value of SEP. This value of standard deviation is an important parameter in designing the phase-locked loop filter in the receiver