294 research outputs found
Bounday Condition histograms for modulated phases
Boundary conditions strongly affect the results of numerical computations for
finite size inhomogeneous or incommensurate structures. We present a method
which allows to deal with this problem, both for ground state and for critical
properties: it combines fluctuating boundary conditions and specific histogram
techniques. Our approach concerns classical systems possessing a continuous
symmetry as well as quantum systems. In particular, current-current correlation
functions, which probe large scale coherence of the states, can be accurately
evaluated. We illustrate our method on a frustrated two dimensional XY model.Comment: 31 pages, 8 figure
Bounds for the Superfluid Fraction from Exact Quantum Monte Carlo Local Densities
For solid 4He and solid p-H2, using the flow-energy-minimizing one-body phase
function and exact T=0 K Monte Carlo calculations of the local density, we have
calculated the phase function, the velocity profile and upper bounds for the
superfluid fraction f_s. At the melting pressure for solid 4He we find that f_s
< 0.20-0.21, about ten times what is observed. This strongly indicates that the
theory for the calculation of these upper bounds needs substantial
improvements.Comment: to be published in Phys. Rev. B (Brief Reports
Phase Diagram for Magnon Condensate in Yttrium Iron Garnet Film
Recently, magnons, which are quasiparticles describing the collective motion
of spins, were found to undergo Bose-Einstein condensation (BEC) at room
temperature in films of Yttrium Iron Garnet (YIG). Unlike other quasiparticle
BEC systems, this system has a spectrum with two degenerate minima, which makes
it possible for the system to have two condensates in momentum space. Recent
Brillouin Light scattering studies for a microwave-pumped YIG film of thickness
d=5 m and field H=1 kOe find a low-contrast interference pattern at the
characteristic wavevector of the magnon energy minimum. In this report, we
show that this modulation pattern can be quantitatively explained as due to
non-symmetric but coherent Bose-Einstein condensation of magnons into the two
energy minima. Our theory predicts a transition from a high-contrast symmetric
phase to a low-contrast non-symmetric phase on varying the and , and a
new type of collective oscillations.Comment: 6 figures. Accepted by Nature Scientific Report
Catalogue of lunar craters cross sections. I - Craters with peaks Research report no. 16
Lunar craters with centrally located peaks - tables and profile graph
Bose Einstein Condensation in solid 4He
We have computed the one--body density matrix rho_1 in solid 4He at T=0 K
using the Shadow Wave Function (SWF) variational technique. The accuracy of the
SWF has been tested with an exact projector method. We find that off-diagonal
long range order is present in rho_1 for a perfect hcp and bcc solid 4He for a
range of densities above the melting one, at least up to 54 bars. This is the
first microscopic indication that Bose Einstein Condensation (BEC) is present
in perfect solid 4He. At melting the condensate fraction in the hcp solid is
5*10^{-6} and it decreases by increasing the density. The key process giving
rise to BEC is the formation of vacancy--interstitial pairs. We also present
values for Leggett's upper bound on the superfluid fraction deduced from the
exact local density.Comment: 4 pages, 3 figures, accepted for publication as a Rapid Communication
in Physical Review
Two-body correlations and the superfluid fraction for nonuniform systems
We extend the one-body phase function upper bound on the superfluid fraction
in a periodic solid (a spatially ordered supersolid) to include two-body phase
correlations. The one-body current density is no longer proportional to the
gradient of the one-body phase times the one-body density, but rather it
depends also on two-body correlation functions. The equations that
simultaneously determine the one-body and two-body phase functions require a
knowledge of one-, two-, and three-body correlation functions. The approach can
also be extended to disordered solids. Fluids, with two-body densities and
two-body phase functions that are translationally invariant, cannot take
advantage of this additional degree of freedom to lower their energy.Comment: 13 page
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