1,309 research outputs found
An Investigation of Orientational Symmetry-Breaking Mechanisms in High Landau Levels
The principal axes of the recently discovered anisotropic phases of 2D
electron systems at high Landau level occupancy are consistently oriented
relative to the crystal axes of the host semiconductor. The nature of the
native rotational symmetry breaking field responsible for this preferential
orientation remains unknown. Here we report on experiments designed to
investigate the origin and magnitude of this symmetry breaking field. Our
results suggest that neither micron-scale surface roughness features nor the
precise symmetry of the quantum well potential confining the 2D system are
important factors. By combining tilted field transport measurements with
detailed self-consistent calculations we estimate that the native anisotropy
energy, whatever its origin, is typically ~ 1 mK per electron.Comment: Reference added, minor notational changes; final published versio
New collective states of 2D electrons in high Landau levels
A brief summary of the emerging evidence for a new class of collective states
of two-dimensional electrons in partially occupied excited Landau levels is
presented. Among the most dramatic phenomena described are the large
anisotropies of the resistivity observed at very low temperatures near
half-filling of the third and higher Landau levels and the non-linear character
of the re-entrant integer quantized Hall states in the flanks of the same
levels. The degree to which these findings support recent theoretical
predictions of charge density wave ground states is discussed and a preliminary
comparison to recent transport theories is made.Comment: To be published in Physica E, as part of the proceedings of the 11th
International Winterschool on New Developments in Solid State Physics held in
Mauterndorf, Austria, February, 2000. 25 pages and 9 figures in a single pdf
fil
DWBA analysis of the 13C(6Li,d)17O reaction at 10 MeV/nucleon and its astrophysical implications
The value of the alpha spectroscopic factor (S_alpha) of the 6.356 MeV 1/2+
state of 17O is believed to have significant astrophysical implications due to
the importance of the 13C(alpha,n)16O reaction as a possible source of neutron
production for the s process. To further study this effect, an accurate
measurement of the 13C(6Li,d)17O reaction at E_lab = 60 MeV has been performed
recently by Kubono et al., who found a new value for the spectroscopic factor
of the 6.356 MeV 1/2+ state of 17O based on a distorted wave Born approximation
(DWBA) analysis of these data. This new value, S_alpha approximately = 0.011,
is surprisingly much smaller than those used previously in astrophysical
calculations (S_alpha approximately = 0.3-0.7) and thus poses a serious
question as to the role of the 13C(alpha,n)16O reaction as a source of neutron
production. In this work we perform a detailed analysis of the same
13C(6Li,d)17O data within the DWBA as well as the coupled reaction channel
(CRC) formalism. Our analysis yields an S_alpha value of over an order of
magnitude larger than that of Kubono et al. for the 6.356 MeV 1/2+ state of
17O.Comment: 17 pages, 4 figures, minor changes, accepted by Nuclear Physics
Cooperative Ring Exchange and Quantum Melting of Vortex Lattices in Atomic Bose-Einstein Condensates
Cooperative ring-exchange is suggested as a mechanism of quantum melting of
vortex lattices in a rapidly-rotating quasi two dimensional atomic
Bose-Einstein condensate (BEC). Using an approach pioneered by Kivelson et al.
[Phys. Rev. Lett. {\bf 56}, 873 (1986)] for the fractional quantized Hall
effect, we calculate the condition for quantum melting instability by
considering large-correlated ring exchanges in a two-dimensional Wigner crystal
of vortices in a strong `pseudomagnetic field' generated by the background
superfluid Bose particles. BEC may be profitably used to address issues of
quantum melting of a pristine Wigner solid devoid of complications of real
solids.Comment: 7 pages, 1 figure, to appear in Physical Review
Nuclear Medium Effects in the Relativistic Treatment of Quasifree Electron Scattering
Non-relativistic reduction of the S-matrix for the quasifree electron
scattering process is studied in order to
understand the source of differences between non-relativistic and relativistic
models. We perform an effective Pauli reduction on the relativistic expression
for the S-matrix in the one-photon exchange approximation. The reduction is
applied to the nucleon current only; the electrons are treated fully
relativistically. An expansion of the amplitude results in a power series in
the nuclear potentials. The series is found to converge rapidly only if the
nuclear potentials are included in the nuclear current operator. The results
can be cast in a form which reproduces the non-relativistic amplitudes in the
limit that the potentials are removed from the nuclear current operator. Large
differences can be found between calculations which do and do not include the
nuclear potentials in the different orders of the nuclear current operator. In
the high missing momentum region we find that the non-relativistic calculations
with potentials included in the nuclear current up to second order give results
which are close to those of the fully relativistic calculation. This behavior
is an indication of the importance of the medium modifications of the nuclear
currents in this model, which are naturally built into the relativistic
treatment of the reaction.Comment: Latex, 26 pages including 5 uuencoded postscript figures. accepted
for publication in Phys. Rev. C
Spinor Bose-Einstein Condensates with Many Vortices
Vortex-lattice structures of antiferromagnetic spinor Bose-Einstein
condensates with hyperfine spin F=1 are investigated theoretically based on the
Ginzburg-Pitaevskii equations near . The Abrikosov lattice with clear
core regions are found {\em never stable} at any rotation drive .
Instead, each component prefers to shift the core
locations from the others to realize almost uniform order-parameter amplitude
with complicated magnetic-moment configurations. This system is characterized
by many competing metastable structures so that quite a variety of vortices may
be realized with a small change in external parameters.Comment: 4 page
Vortex lattice of a Bose-Einstein Condensate in a rotating anisotropic trap
We study the vortex lattices in a Bose-Einstein Condensate in a rotating
anisotropic harmonic trap. We first investigate the single particle
wavefunctions obtained by the exact solution of the problem and give simple
expressions for these wavefunctions in the small anisotropy limit. Depending on
the strength of the interactions, a few or a large number of vortices can be
formed. In the limit of many vortices, we calculate the density profile of the
cloud and show that the vortex lattice stays triangular. We also find that the
vortex lattice planes align themselves with the weak axis of the external
potential. For a small number of vortices, we numerically solve the
Gross-Pitaevskii equation and find vortex configurations that are very
different from the vortex configurations in an axisymmetric rotating trap.Comment: 15 pages,4 figure
Vortices and dynamics in trapped Bose-Einstein condensates
I review the basic physics of ultracold dilute trapped atomic gases, with
emphasis on Bose-Einstein condensation and quantized vortices. The hydrodynamic
form of the Gross-Pitaevskii equation (a nonlinear Schr{\"o}dinger equation)
illuminates the role of the density and the quantum-mechanical phase. One
unique feature of these experimental systems is the opportunity to study the
dynamics of vortices in real time, in contrast to typical experiments on
superfluid He. I discuss three specific examples (precession of single
vortices, motion of vortex dipoles, and Tkachenko oscillations of a vortex
array). Other unusual features include the study of quantum turbulence and the
behavior for rapid rotation, when the vortices form dense regular arrays.
Ultimately, the system is predicted to make a quantum phase transition to
various highly correlated many-body states (analogous to bosonic quantum Hall
states) that are not superfluid and do not have condensate wave functions. At
present, this transition remains elusive. Conceivably, laser-induced synthetic
vector potentials can serve to reach this intriguing phase transition.Comment: Accepted for publication in Journal of Low Temperature Physics,
conference proceedings: Symposia on Superfluids under Rotation (Lammi,
Finland, April 2010
Rotating spin-1 bosons in the lowest Landau level
We present results for the ground states of a system of spin-1 bosons in a
rotating trap. We focus on the dilute, weakly interacting regime, and restrict
the bosons to the quantum states in the lowest Landau level (LLL) in the plane
(disc), sphere or torus geometries. We map out parts of the zero temperature
phase diagram, using both exact quantum ground states and LLL mean field
configurations. For the case of a spin-independent interaction we present exact
quantum ground states at angular momentum . For general values of the
interaction parameters, we present mean field studies of general ground states
at slow rotation and of lattices of vortices and skyrmions at higher rotation
rates. Finally, we discuss quantum Hall liquid states at ultra-high rotation.Comment: 24 pages, 14 figures, RevTe
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