34,703 research outputs found
Highly frustrated spin-lattice models of magnetism and their quantum phase transitions: A microscopic treatment via the coupled cluster method
We outline how the coupled cluster method of microscopic quantum many-body
theory can be utilized in practice to give highly accurate results for the
ground-state properties of a wide variety of highly frustrated and strongly
correlated spin-lattice models of interest in quantum magnetism, including
their quantum phase transitions. The method itself is described, and it is
shown how it may be implemented in practice to high orders in a systematically
improvable hierarchy of (so-called LSUB) approximations, by the use of
computer-algebraic techniques. The method works from the outset in the
thermodynamic limit of an infinite lattice at all levels of approximation, and
it is shown both how the "raw" LSUB results are themselves generally
excellent in the sense that they converge rapidly, and how they may accurately
be extrapolated to the exact limit, , of the truncation
index , which denotes the {\it only} approximation made. All of this is
illustrated via a specific application to a two-dimensional, frustrated,
spin-half -- model on a honeycomb lattice with
nearest-neighbor and next-nearest-neighbor interactions with exchange couplings
and , respectively, where both
interactions are of the same anisotropic type. We show how the method can
be used to determine the entire zero-temperature ground-state phase diagram of
the model in the range of the frustration parameter and
of the spin-space anisotropy parameter. In particular,
we identify a candidate quantum spin-liquid region in the phase space
Spin-1/2 - Heisenberg model on a cross-striped square lattice
Using the coupled cluster method (CCM) we study the full (zero-temperature)
ground-state (GS) phase diagram of a spin-half () -
Heisenberg model on a cross-striped square lattice. Each site of the square
lattice has 4 nearest-neighbour exchange bonds of strength and 2
next-nearest-neighbour (diagonal) bonds of strength . The bonds
are arranged so that the basic square plaquettes in alternating columns have
either both or no bonds included. The classical () version of the model has 4 collinear phases when and
can take either sign. Three phases are antiferromagnetic (AFM), showing
so-called N\'{e}el, double N\'{e}el and double columnar striped order
respectively, while the fourth is ferromagnetic. For the quantum model
we use the 3 classical AFM phases as CCM reference states, on top of which the
multispin-flip configurations arising from quantum fluctuations are
incorporated in a systematic truncation hierarchy. Calculations of the
corresponding GS energy, magnetic order parameter and the susceptibilities of
the states to various forms of valence-bond crystalline (VBC) order are thus
carried out numerically to high orders of approximation and then extrapolated
to the (exact) physical limit. We find that the model has 5 phases,
which correspond to the four classical phases plus a new quantum phase with
plaquette VBC order. The positions of the 5 quantum critical points are
determined with high accuracy. While all 4 phase transitions in the classical
model are first order, we find strong evidence that 3 of the 5 quantum phase
transitions in the model are of continuous deconfined type
A frustrated spin-1/2 Heisenberg antiferromagnet on a chevron-square lattice
The coupled cluster method (CCM) is used to study the zero-temperature
properties of a frustrated spin-half () -- Heisenberg
antiferromagnet (HAF) on a 2D chevron-square lattice. Each site on an
underlying square lattice has 4 nearest-neighbor exchange bonds of strength
and 2 next-nearest-neighbor (diagonal) bonds of strength , with each square plaquette having only one diagonal bond.
The diagonal bonds form a chevron pattern, and the model thus interpolates
smoothly between 2D HAFs on the square () and triangular () lattices,
and also extrapolates to disconnected 1D HAF chains (). The
classical () version of the model has N\'{e}el order for and a form of spiral order for , where
. For the model we use both these classical
states, as well as other collinear states not realized as classical
ground-state (GS) phases, as CCM reference states, on top of which the
multispin-flip configurations resulting from quantum fluctuations are
incorporated in a systematic truncation scheme, which we carry out to high
orders and extrapolate to the physical limit. We calculate the GS energy, GS
magnetic order parameter, and the susceptibilities of the states to various
forms of valence-bond crystalline (VBC) order, including plaquette and two
different dimer forms. We find that the model has two quantum
critical points, at and ,
with N\'{e}el order for , a form of spiral order for
that includes the correct three-sublattice
spin ordering for the triangular-lattice HAF at , and
parallel-dimer VBC order for
Universality and quantum effects in one-component critical fluids
Non-universal scale transformations of the physical fields are extended to
pure quantum fluids and used to calculate susceptibility, specific heat and the
order parameter along the critical isochore of He3 near its liquid-vapor
critical point. Within the so-called preasymptotic domain, where the Wegner
expansion restricted to the first term of confluent corrections to scaling is
expected valid, the results show agreement with the experimental measurements
and recent predictions, either based on the minimal-substraction
renormalization and the massive renormalization schemes within the
-model, or based on the crossover parametric equation of
state for Ising-like systems
Dynamical study on polaron formation in a metal/polymer/metal structure
By considering a metal/polymer/metal structure within a tight-binding
one-dimensional model, we have investigated the polaron formation in the
presence of an electric field. When a sufficient voltage bias is applied to one
of the metal electrodes, an electron is injected into the polymer chain, then a
self-trapped polaron is formed at a few hundreds of femtoseconds while it moves
slowly under a weak electric field (not larger than V/cm).
At an electric field between V/cm and V/cm,
the polaron is still formed, since the injected electron is bounded between the
interface barriers for quite a long time. It is shown that the electric field
applied at the polymer chain reduces effectively the potential barrier in the
metal/polymer interface
Frustrated Heisenberg antiferromagnet on the honeycomb lattice: Spin gap and low-energy parameters
We use the coupled cluster method implemented to high orders of approximation
to investigate the frustrated spin- ----
antiferromagnet on the honeycomb lattice with isotropic Heisenberg interactions
of strength between nearest-neighbor pairs, between
next-nearest-neighbor pairs, and between next-next-neareast-neighbor
pairs of spins. In particular, we study both the ground-state (GS) and
lowest-lying triplet excited-state properties in the case , in the window of the frustration
parameter, which includes the (tricritical) point of maximum classical
frustration at . We present GS results for the
spin stiffness, , and the zero-field uniform magnetic susceptibility,
, which complement our earlier results for the GS energy per spin, ,
and staggered magnetization, , to yield a complete set of accurate
low-energy parameters for the model. Our results all point towards a phase
diagram containing two quasiclassical antiferromagnetic phases, one with N\'eel
order for , and the other with collinear striped order
for . The results for both and the spin gap
provide compelling evidence for a quantum paramagnetic phase that is
gapped over a considerable portion of the intermediate region , especially close to the two quantum critical points
at and . Each of our fully independent sets of
results for the low-energy parameters is consistent with the values
and , and with
the transition at being of continuous (and probably of the
deconfined) type and that at being of first-order type
The frustrated Heisenberg antiferromagnet on the honeycomb lattice: -- model
We study the ground-state (gs) phase diagram of the frustrated spin-1/2
-- antiferromagnet with () on the
honeycomb lattice, using the coupled-cluster method. We present results for the
ground-state energy, magnetic order parameter and plaquette valence-bond
crystal (PVBC) susceptibility. We find a paramagnetic PVBC phase for
, where and . The transition at
to the N\'{e}el phase seems to be a continuous deconfined
transition (although we cannot exclude a very narrow intermediate phase in the
range ), while that at is of
first-order type to another quasiclassical antiferromagnetic phase that occurs
in the classical version of the model only at the isolated and highly
degenerate critical point . The spiral phases that are present
classically for all values are absent for all .Comment: 6 pages, 5 figure
Engineering calculations for communications satellite systems planning
An extended gradient search code for broadcasting satellite service (BSS) spectrum/orbit assignment synthesis is discussed. Progress is also reported on both single-entry and full synthesis computational aids for fixed satellite service (FSS) spectrum/orbit assignment purposes
Low temperature field-effect in crystalline organic material
Molecular organic materials offer the promise of novel electronic devices but
also present challenges for understanding charge transport in narrow band
systems. Low temperature studies elucidate fundamental transport processes. We
report the lowest temperature field effect transport results on a crystalline
oligomeric organic material, rubrene. We find field effect switching with
on-off ratio up to 10^7 at temperatures down to 10 K. Gated transport shows a
factor of ~10 suppression of the thermal activation energy in 10-50 K range and
nearly temperature independent resistivity below 10 K.Comment: 5 pages, 4 figure
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