410 research outputs found
Phase diagram and magnons in quasi-one-dimensional dipolar antiferromagnets
We investigate antiferromagnetic spin chains, which are coupled by a weak
antiferromagnetic exchange interaction on a hexagonal lattice. We particulary
study the role of the dipole-dipole interaction within the framework of a
Heisenberg model with nearest-neighbor exchange and additional dipolar
interaction. We find several commensurate and incommensurate phases depending
on the ratio of dipolar energy to interchain-exchange energy due to their
competing qualtity. The ground-state analysis is supplemented by a stability
analysis by means of a linear spin-wave theory. In comparison with experiments
(CsMnBr_3, RbMnBr_3) we obtain good agreement for the energy gaps. From this we
conclude, that the dipolar interaction is the most important source of
anisotropy in these Mn-compounds.Comment: 3 pages, 3 Postscript figure
Superconductivity Controlled by Polarization in Field-Effect Devices of Confined Geometry
We propose a concept for superconducting electric field-effect devices based
on superconducting films sandwiched between ferroelectric layers. We provide
theoretical calculations that indicate how the field effect in these devices
could be amplified, which can be experimentally probed even at the current
stage of film fabrication techniques.Comment: to appear in Applied Physics Letters, 3 pages RevTeX4, 3 figure
Defect-induced condensation and central peak at elastic phase transitions
Static and dynamical properties of elastic phase transitions under the
influence of short--range defects, which locally increase the transition
temperature, are investigated. Our approach is based on a Ginzburg--Landau
theory for three--dimensional crystals with one--, two-- or three--dimensional
soft sectors, respectively. Systems with a finite concentration of
quenched, randomly placed defects display a phase transition at a temperature
, which can be considerably above the transition temperature
of the pure system. The phonon correlation function is calculated in
single--site approximation. For a dynamical central peak
appears; upon approaching , its height diverges and its width
vanishes. Using an appropriate self--consistent method, we calculate the
spatially inhomogeneous order parameter, the free energy and the specific heat,
as well as the dynamical correlation function in the ordered phase. The
dynamical central peak disappears again as the temperatur is lowered below
. The inhomogeneous order parameter causes a static central
peak in the scattering cross section, with a finite width depending on the
orientation of the external wave vector relative to the soft sector.
The jump in the specific heat at the transition temperatur of the pure system
is smeared out by the influence of the defects, leading to a distinct maximum
instead. In addition, there emerges a tiny discontinuity of the specific heat
at . We also discuss the range of validity of the mean--field
approach, and provide a more realistic estimate for the transition temperature.Comment: 11 pages, 11 ps-figures, to appear in PR
Quantum Charge Transport and Conformational Dynamics of Macromolecules
We study the dynamics of quantum excitations inside macromolecules which can
undergo conformational transitions. In the first part of the paper, we use the
path integral formalism to rigorously derive a set of coupled equations of
motion which simultaneously describe the molecular and quantum transport
dynamics, and obey the fluctuation/dissipation relationship. We also introduce
an algorithm which yields the most probable molecular and quantum transport
pathways in rare, thermally-activated reactions. In the second part of the
paper, we apply this formalism to simulate the propagation of a charge during
the collapse of a polymer from an initial stretched conformation to a final
globular state. We find that the charge dynamics is quenched when the chain
reaches a molten globule state. Using random matrix theory we show that this
transition is due to an increase of quantum localization driven by dynamical
disorder.Comment: 11 pages, 2 figure
Conservation law of operator current in open quantum systems
We derive a fundamental conservation law of operator current for master
equations describing reduced quantum systems. If this law is broken, the
temporal integral of the current operator of an arbitrary system observable
does not yield in general the change of that observable in the evolution. We
study Lindblad-type master equations as examples and prove that the application
of the secular approximation during their derivation results in a violation of
the conservation law. We show that generally any violation of the law leads to
artificial corrections to the complete quantum dynamics, thus questioning the
accuracy of the particular master equation.Comment: 5 pages, final versio
Spin- and entanglement-dynamics in the central spin model with homogeneous couplings
We calculate exactly the time-dependent reduced density matrix for the
central spin in the central-spin model with homogeneous Heisenberg couplings.
Therefrom, the dynamics and the entanglement entropy of the central spin are
obtained. A rich variety of behaviors is found, depending on the initial state
of the bath spins. For an initially unpolarized unentangled bath, the
polarization of the central spin decays to zero in the thermodynamic limit,
while its entanglement entropy becomes maximal. On the other hand, if the
unpolarized environment is initially in an eigenstate of the total bath spin,
the central spin and the entanglement entropy exhibit persistent monochromatic
large-amplitude oscillations. This raises the question to what extent
entanglement of the bath spins prevents decoherence of the central spin.Comment: 8 pages, 2 figures, typos corrected, published versio
Adaptive Resolution Molecular Dynamics Simulation: Changing the Degrees of Freedom on the Fly
We present a new adaptive resolution technique for efficient particle-based
multiscale molecular dynamics (MD) simulations. The presented approach is
tailor-made for molecular systems where atomistic resolution is required only
in spatially localized domains whereas a lower mesoscopic level of detail is
sufficient for the rest of the system. Our method allows an on-the-fly
interchange between a given molecule's atomic and coarse-grained level of
description, enabling us to reach large length and time scales while spatially
retaining atomistic details of the system. The new approach is tested on a
model system of a liquid of tetrahedral molecules. The simulation box is
divided into two regions: one containing only atomistically resolved
tetrahedral molecules, the other containing only one particle coarse-grained
spherical molecules. The molecules can freely move between the two regions
while changing their level of resolution accordingly. The coarse-grained and
the atomistically resolved systems have the same statistical properties at the
same physical conditions.Comment: 17 pages, 11 figures, 5 table
A Semiclassical Approach to Level Crossing in Supersymmetric Quantum Mechanics
Much use has been made of the techniques of supersymmetric quantum mechanics
(SUSY QM) for studying bound-state problems characterized by a superpotential
. Under the analytic continuation , a pair of
superpartner bound-state problems is transformed into a two-state
level-crossing problem in the continuum. The description of matter-enhanced
neutrino flavor oscillations involves a level-crossing problem. We treat this
with the techniques of supersymmetric quantum mechanics. For the benefit of
those not familiar with neutrino oscillations and their description, enough
details are given to make the rest of the paper understandable. Many other
level-crossing problems in physics are of exactly the same form. Particular
attention is given to the fact that different semiclassical techniques yield
different results. The best result is obtained with a uniform approximation
that explicitly recognizes the supersymmetric nature of the system.Comment: 15 pages, Latex with lamuphys and psfig macros. Talk by first Author
at the UIC "Supersymmetry and Integrable Models Workshop", Chicago, June
12-14, 1997; proceedings to be published in Springer Lecture Notes in
Physics, H. Aratyn et al., eds. This paper also available at
http://nucth.physics.wisc.edu/preprint
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