85 research outputs found
The Fractional Quantum Hall Effect of Tachyons in a Topological Insulator Junction
We have studied the tachyonic excitations in the junction of two topological
insulators in the presence of an external magnetic field. The Landau levels,
evaluated from an effective two-dimensional model for tachyons, and from the
junction states of two topological insulators, show some unique properties not
seen in conventional electrons systems or in graphene. The fractional
quantum Hall effect has also a strong presence in the tachyon system.Comment: 5 pages, 3 figure
Incomplete Photonic Bandgap as Inferred from the Speckle Pattern of Scattered Light Waves
Motivated by recent experiments on intensity correlations of the waves
transmitted through disordered media, we demonstrate that the speckle pattern
from disordered photonic crystal with incomplete band-gap represents a
sensitive tool for determination the stop-band width. We establish the
quantitative relation between this width and the {\em angualar anisotropy} of
the intensity correlation function.Comment: 6 pages, 3 figure
Spin-torque switching: Fokker-Planck rate calculation
We describe a new approach to understanding and calculating magnetization
switching rates and noise in the recently observed phenomenon of "spin-torque
switching". In this phenomenon, which has possible applications to information
storage, a large current passing from a pinned ferromagnetic (FM) layer to a
free FM layer switches the free layer. Our main result is that the spin-torque
effect increases the Arrhenius factor in the switching rate, not
by lowering the barrier , but by raising the effective spin temperature .
To calculate this effect quantitatively, we extend Kramers' 1940 treatment of
reaction rates, deriving and solving a Fokker-Planck equation for the energy
distribution including a current-induced spin torque of the Slonczewski type.
This method can be used to calculate slow switching rates without long-time
simulations; in this Letter we calculate rates for telegraph noise that are in
good qualitative agreement with recent experiments. The method also allows the
calculation of current-induced magnetic noise in CPP (current perpendicular to
plane) spin valve read heads.Comment: 11 pages, 8 figures, 1 appendix Original version in Nature format,
replaced by Phys. Rev. Letters format. No substantive change
Strongly Localized State of a Photon at the Intersection of the Phase Slips in 2D Photonic Crystal with Low Contrast of Dielectric Constant
Two-dimensional photonic crystal with a rectangular symmetry and low contrast
(< 1) of the dielectric constant is considered. We demonstrate that, despite
the {\em absence} of a bandgap, strong localization of a photon can be achieved
for certain ``magic'' geometries of a unit cell by introducing two
phase slips along the major axes. Long-living photon mode is bound to the
intersection of the phase slips. We calculate analytically the lifetime of this
mode for the simplest geometry -- a square lattice of cylinders of a radius,
. We find the magic radius, , of a cylinder to be 43.10 percent of the
lattice constant. For this value of , the quality factor of the bound mode
exceeds . Small () deviation of from results in a
drastic damping of the bound mode.Comment: 6 pages, 2 figure
Theory of anyon excitons: Relation to excitons of nu=1/3 and nu=2/3 incompressible liquids
Elementary excitations of incompressible quantum liquids (IQL's) are anyons,
i.e., quasiparticles carrying fractional charges and obeying fractional
statistics. To find out how the properties of these quasiparticles manifest
themselves in the optical spectra, we have developed the anyon exciton model
(AEM) and compared the results with the finite-size data for excitons of nu=1/3
and nu=2/3 IQL's. The model considers an exciton as a neutral composite
consisting of three quasielectrons and a single hole. The AEM works well when
the separation between electron and hole confinement planes, h, is larger than
the magnetic length l. In the framework of the AEM an exciton possesses
momentum k and two internal quantum numbers, one of which can be chosen as the
angular momentum, L, of the k=0 state. Existence of the internal degrees of
freedom results in the multiple branch energy spectrum, crater-like electron
density shape and 120 degrees density correlations for k=0 excitons, and the
splitting of the electron shell into bunches for non-zero k excitons. For h
larger than 2l the bottom states obey the superselection rule L=3m (m are
integers starting from 2), all of them are hard core states. For h nearly 2l
there is one-to-one correspondence between the low-energy spectra found for the
AEM and the many- electron exciton spectra of the nu=2/3 IQL, whereas some
states are absent from the many-electron spectra of the nu=1/3 IQL. We argue
that this striking difference in the spectra originates from the different
populational statistics of the quasielectrons of charge conjugate IQL's and
show that the proper account of the statistical requirements eliminates
excessive states from the spectrum. Apparently, this phenomenon is the first
manifestation of the exclusion statistics in the anyon bound states.Comment: 26 pages with 9 figures, typos correcte
Structure of the Magneto-Exciton and Optical Properties in Fractional Quantum Hall Systems
We report calculated dependence of magneto-exciton energy spectrum upon
electron-hole separation in Fractional Quantum Hall systems. We calculated
the dependence of photoluminescence upon , and we obtained the doublet
structure observed recently. The Raman scattering spectrum around resonance is
calculated: a robust resonance peak at around gap value is reported.Comment: 13 pages, REVTEX, compressed postscript file (3 figures included
- …