1,037 research outputs found
Efficient solutions of self-consistent mean field equations for dewetting and electrostatics in nonuniform liquids
We use a new configuration-based version of linear response theory to
efficiently solve self-consistent mean field equations relating an effective
single particle potential to the induced density. The versatility and accuracy
of the method is illustrated by applications to dewetting of a hard sphere
solute in a Lennard-Jones fluid, the interplay between local hydrogen bond
structure and electrostatics for water confined between two hydrophobic walls,
and to ion pairing in ionic solutions. Simulation time has been reduced by more
than an order of magnitude over previous methods.Comment: Supplementary material included at end of main pape
Renormalization of modular invariant Coulomb gas and Sine-Gordon theories, and quantum Hall flow diagram
Using the renormalisation group (RG) we study two dimensional electromagnetic
coulomb gas and extended Sine-Gordon theories invariant under the modular group
SL(2,Z). The flow diagram is established from the scaling equations, and we
derive the critical behaviour at the various transition points of the diagram.
Following proposal for a SL(2,Z) duality between different quantum Hall fluids,
we discuss the analogy between this flow and the global quantum Hall phase
diagram.Comment: 10 pages, 1 EPS figure include
Steering Magnetic Skyrmions with Nonequilibrium Green's Functions
Magnetic skyrmions, topologically protected vortex-like configurations in
spin textures, are of wide conceptual and practical appeal for quantum
information technologies, notably in relation to the making of so-called
race-track memory devices. Skyrmions can be created, steered and destroyed with
magnetic fields and/or (spin) currents. Here we focus on the latter mechanism,
analyzed via a microscopic treatment of the skyrmion-current interaction. The
system we consider is an isolated skyrmion in a square-lattice cluster,
interacting with electrons spins in a current-carrying quantum wire. For the
theoretical description, we employ a quantum formulation of spin-dependent
currents via nonequilibrium Green's functions (NEGF) within the generalized
Kadanoff-Baym ansatz (GKBA). This is combined with a treatment of skyrmions
based on classical localized spins, with the skyrmion motion described via
Ehrenfest dynamics. With our mixed quantum-classical scheme, we assess how
time-dependent currents can affect the skyrmion dynamics, and how this in turn
depends on electron-electron and spin-orbit interactions in the wire. Our study
shows the usefulness of a quantum-classical treatment of skyrmion steering via
currents, as a way for example to validate/extract an effective,
classical-only, description of skyrmion dynamics from a microscopic quantum
modeling of the skyrmion-current interaction.Comment: 10 pages, 8 figures, contribution to the proceedings of "Progress in
Nonequilibrium Green's Functions VII
Artificial electric field in Fermi Liquids
Based on the Keldysh formalism, we derive an effective Boltzmann equation for
a quasi-particle associated with a particular Fermi surface in an interacting
Fermi liquid. This provides a many-body derivation of Berry curvatures in
electron dynamics with spin-orbit coupling, which has received much attention
in recent years in non-interacting models. As is well-known, the Berry
curvature in momentum space modifies naive band dynamics via an artificial
magnetic field in momentum space. Our Fermi liquid formulation completes the
reinvention of modified band dynamics by introducing in addition an "artificial
electric field", related to Berry curvature in frequency and momentum space. We
show explicitly how the artificial electric field affects the renormalization
factor and transverse conductivity of interacting U(1) Fermi liquids with
non-degenerate bands. Accordingly, we also propose a method of momentum
resolved Berry's curvature detection in terms of angle resolved photoemission
spectroscopy (ARPES)
Unstable Hadrons in Hot Hadron Gas in Laboratory and in the Early Universe
We study kinetic master equations for chemical reactions involving the
formation and the natural decay of unstable particles in a thermal bath. We
consider the decay channel of one into two particles, and the inverse process,
fusion of two thermal particles into one. We present the master equations the
evolution of the density of the unstable particles in the early Universe. We
obtain the thermal invariant reaction rate using as an input the free space
(vacuum) decay time and show the medium quantum effects on reaction relaxation time. As another laboratory example
we describe the process in thermal hadronic gas in
heavy-ion collisions. A particularly interesting application of our formalism
is the process in the early Universe.
We also explore the physics of and freeze-out in the
Universe.Comment: 13 pages, 9 figures, published in Physical Review
Vertex dynamics during domain growth in three-state models
Topological aspects of interfaces are studied by comparing quantitatively the
evolving three-color patterns in three different models, such as the
three-state voter, Potts and extended voter models. The statistical analysis of
some geometrical features allows to explore the role of different elementary
processes during distinct coarsening phenomena in the above models.Comment: 4 pages, 5 figures, to be published in PR
Molecular junctions in the Coulomb blockade regime: rectification and nesting
Quantum transport through single molecules is very sensitive to the strength
of the molecule-electrode contact. Here, we investigate the behavior of a model
molecular junction weakly coupled to external electrodes in the case where
charging effects do play an important role (Coulomb blockade regime). As a
minimal model we consider a molecular junction with two spatially separated
donor and acceptor sites. Depending on their mutual coupling to the electrodes,
the resulting transport observables show well defined features such as
rectification effects in the I-V characteristics and nesting of the stability
diagrams. To be able to accomplish these results, we have developed a theory
which allows to explore the charging regime via the nonequilibrium Green
function formalism parallel to the widely used master equation technique. Our
results, beyond their experimental relevance, offer a transparent framework for
the systematic and modular inclusion of a richer physical phenomenology
Transport Properties of a spinon Fermi surface coupled to a U(1) gauge field
With the organic compound -(BEDT-TTF)-Cu(CN) in mind, we
consider a spin liquid system where a spinon Fermi surface is coupled to a U(1)
gauge field. Using the non-equilibrium Green's function formalism, we derive
the Quantum Boltzmann Equation (QBE) for this system. In this system, however,
one cannot a priori assume the existence of Landau quasiparticles. We show that
even without this assumption one can still derive a linearized equation for a
generalized distribution function. We show that the divergence of the effective
mass and of the finite temperature self-energy do not enter these transport
coefficients and thus they are well-defined. Moreover, using a variational
method, we calculate the temperature dependence of the spin resistivity and
thermal conductivity of this system.Comment: 12 page
Two-stage coarsening mechanism in a kinetically constrained model of an attractive colloid
We study an attractive version of the East model using the real-space
renormalization group (RG) introduced by Stella et al. The former is a
kinetically constrained model with an Ising-like interaction between
excitations, and shows striking agreement with the phenomonology of attractive
colloidal systems. We find that the RG predicts two nonuniversal dynamic
exponents, which suggests that in the out-of-equilibrium regime the model
coarsens via a two-stage mechanism. We explain this mechanism physically, and
verify this prediction numerically. In addition, we find that the
characteristic relaxation time of the model is a non-monotonic function of
attraction strength, again in agreement with numerical results.Comment: 10 page
Exact relations between multifractal exponents at the Anderson transition
Two exact relations between mutlifractal exponents are shown to hold at the
critical point of the Anderson localization transition. The first relation
implies a symmetry of the multifractal spectrum linking the multifractal
exponents with indices . The second relation
connects the wave function multifractality to that of Wigner delay times in a
system with a lead attached.Comment: 4 pages, 3 figure
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