85 research outputs found
Dielectric Susceptibility and Heat Capacity of Ultra-Cold Glasses in Magnetic Field
Recent experiments demonstrated unexpected, even intriguing properties of
certain glassy materials in magnetic field at low temperatures. We have studied
the magnetic field dependence of the static dielectric susceptibility and the
heat capacity of glasses at low temperatures. We present a theory in which we
consider the coupling of the tunnelling motion to nuclear quadrupoles in order
to evaluate the static dielectric susceptibility. In the limit of weak magnetic
field we find the resonant part of the susceptibility increasing like
while for the large magnetic field it behaves as 1/B. In the same manner we
consider the coupling of the tunnelling motion to nuclear quadrupoles and
angular momentum of tunnelling particles in order to find the heat capacity.
Our results show the Schotky peak for the angular momentum part, and
dependence for nuclear quadrupoles part of heat capacity, respectively. We
discuss whether or not this approach can provide a suitable explanation for
such magnetic properties.Comment: 10 pages, 1 figur
Interacting quantum rotors in oxygen-doped germanium
We investigate the interaction effect between oxygen impurities in
crystalline germanium on the basis of a quantum rotor model. The dipolar
interaction of nearby oxygen impurities engenders non-trivial low-lying
excitations, giving rise to anomalous behaviors for oxygen-doped germanium
(Ge:O) below a few degrees Kelvin. In particular, it is theoretically predicted
that Ge:O samples with oxygen-concentration of 10cm show (i)
power-law specific heats below 0.1 K, and (ii) a peculiar hump in dielectric
susceptibilities around 1 K. We present an interpretation for the power-law
specific heats, which is based on the picture of local double-well potentials
randomly distributed in Ge:O samples.Comment: 13 pages, 11 figures; to be published in Phys. Rev.
Four-well tunneling states and elastic response of clathrates
We present resonant ultrasound elastic constant measurements of the clathrate
compounds Eu8Ga16Ge30 and Sr8Ga16Ge30. The elastic response of the Eu clathrate
provides clear evidence for the existence of a new type of four-well tunneling
states, described by two nearly degenerate four level systems (FLS). The FLS's
are closely linked with the fourfold split positions of Eu known from neutron
diffraction density profiles. Using a realistic potential we estimate the
tunneling frequencies and show that the energy gap between the two FLS's is of
the same order as the Einstein oscillator frequency. This explains why the
observed harmonic oscillator type specific heat is not modified by tunneling
states. In addition the quadrupolar interaction of FLS's with elastic strains
explains the pronounced depression observed in elastic constant measurements.
In the case of the Sr clathrate, we show that the shallow dip in the elastic
constant c44 is explained using the same type of quadrupolar interaction with a
soft Einstein mode instead of a FLS.Comment: 4 pages, 4 figures; accepted for publication in Physical Review
Letter
Cubic Defects: Comparing the Eight-State-System with its Two-Level-Approximation
Substitutional defects in a cubic symmetry (such as a lithium defect in a KCl
host crystal) can be modeled appropriately by an eight-state-system. Usually
this tunneling degree of freedom is approximated by a two-level-system. We
investigate the observable differences between the two models in three
contexts. First we show that the two models predict different relations between
the temperature dependence of specific heat and static susceptibility. Second
we demonstrate that in the presence of external forces (pressure and electric
field) the eight-state-system shows features that cannot be understood within
the framework of the two-level-approximation. In this context we propose an
experiment for measuring the parameter for tunneling along the face diagonal.
Finally we discuss the differences between the models appearing for strongly
coupled pairs. Geometric selection rules and particular forms of asymmetry lead
to clear differences between the two models.Comment: 19 pages, Latex, submitted to J. of Phys., some small supplement
Effect of Nuclear Quadrupole Interaction on the Relaxation in Amorphous Solids
Recently it has been experimentally demonstrated that certain glasses display
an unexpected magnetic field dependence of the dielectric constant. In
particular, the echo technique experiments have shown that the echo amplitude
depends on the magnetic field. The analysis of these experiments results in the
conclusion that the effect seems to be related to the nuclear degrees of
freedom of tunneling systems. The interactions of a nuclear quadrupole
electrical moment with the crystal field and of a nuclear magnetic moment with
magnetic field transform the two-level tunneling systems inherent in amorphous
dielectrics into many-level tunneling systems. The fact that these features
show up at temperatures , where the properties of amorphous materials
are governed by the long-range interaction between tunneling systems,
suggests that this interaction is responsible for the magnetic field dependent
relaxation. We have developed a theory of many-body relaxation in an ensemble
of interacting many-level tunneling systems and show that the relaxation rate
is controlled by the magnetic field. The results obtained correlate with the
available experimental data. Our approach strongly supports the idea that the
nuclear quadrupole interaction is just the key for understanding the unusual
behavior of glasses in a magnetic field.Comment: 18 pages, 9 figure
Effective interactions of colloids on nematic films
The elastic and capillary interactions between a pair of colloidal particles
trapped on top of a nematic film are studied theoretically for large
separations . The elastic interaction is repulsive and of quadrupolar type,
varying as . For macroscopically thick films, the capillary interaction
is likewise repulsive and proportional to as a consequence of
mechanical isolation of the system comprised of the colloids and the interface.
A finite film thickness introduces a nonvanishing force on the system (exerted
by the substrate supporting the film) leading to logarithmically varying
capillary attractions. However, their strength turns out to be too small to be
of importance for the recently observed pattern formation of colloidal droplets
on nematic films.Comment: 13 pages, accepted by EPJ
Free energy of colloidal particles at the surface of sessile drops
The influence of finite system size on the free energy of a spherical
particle floating at the surface of a sessile droplet is studied both
analytically and numerically. In the special case that the contact angle at the
substrate equals a capillary analogue of the method of images is
applied in order to calculate small deformations of the droplet shape if an
external force is applied to the particle. The type of boundary conditions for
the droplet shape at the substrate determines the sign of the capillary
monopole associated with the image particle. Therefore, the free energy of the
particle, which is proportional to the interaction energy of the original
particle with its image, can be of either sign, too. The analytic solutions,
given by the Green's function of the capillary equation, are constructed such
that the condition of the forces acting on the droplet being balanced and of
the volume constraint are fulfilled. Besides the known phenomena of attraction
of a particle to a free contact line and repulsion from a pinned one, we
observe a local free energy minimum for the particle being located at the drop
apex or at an intermediate angle, respectively. This peculiarity can be traced
back to a non-monotonic behavior of the Green's function, which reflects the
interplay between the deformations of the droplet shape and the volume
constraint.Comment: 24 pages, 19 figure
Solving spin quantum-master equations with matrix continued-fraction methods: application to superparamagnets
We implement continued-fraction techniques to solve exactly quantum master
equations for a spin with arbitrary S coupled to a (bosonic) thermal bath. The
full spin density matrix is obtained, so that along with relaxation and
thermoactivation, coherent dynamics is included (precession, tunnel, etc.). The
method is applied to study isotropic spins and spins in a bistable anisotropy
potential (superparamagnets). We present examples of static response, the
dynamical susceptibility including the contribution of the different relaxation
modes, and of spin resonance in transverse fields.Comment: Resubmitted to J. Phys. A: Math. Gen. Some rewriting here and there.
Discussion on positivity in App.D3 at request of one refere
Thermophoresis of charged colloidal particles
Thermally induced particle flow in a charged colloidal suspension is studied
in a fluid-mechanical approach. The force density acting on the charged
boundary layer is derived in detail. From Stokes' equation with no-slip
boundary conditions at the particle surface, we obtain the particle drift
velocity and the thermophoretic transport coefficients. The results are
discussed in view of previous work and available experimental data.Comment: 9 pages, 2 figure
Quantum-state control in optical lattices
We study the means to prepare and coherently manipulate atomic wave packets
in optical lattices, with particular emphasis on alkali atoms in the
far-detuned limit. We derive a general, basis independent expression for the
lattice operator, and show that its off-diagonal elements can be tailored to
couple the vibrational manifolds of separate magnetic sublevels. Using these
couplings one can evolve the state of a trapped atom in a quantum coherent
fashion, and prepare pure quantum states by resolved-sideband Raman cooling. We
explore the use of atoms bound in optical lattices to study quantum tunneling
and the generation of macroscopic superposition states in a double-well
potential. Far-off-resonance optical potentials lend themselves particularly
well to reservoir engineering via well controlled fluctuations in the
potential, making the atom/lattice system attractive for the study of
decoherence and the connection between classical and quantum physics.Comment: 35 pages including 8 figures. To appear in Phys. Rev. A. March 199
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