11,565 research outputs found
Study of the bilinear biquadratic Heisenberg model on a honeycomb lattice via Schwinger bosons
We analyze the biquadratic bilinear Heisenberg magnet on a honeycomb lattice
via Schwinger boson formalism. Due to their vulnerability to quantum
fluctuations, non conventional lattices (kagome, triangular and honeycomb for
example) have been cited as candidates to support spin liquid states. Such
states without long range order at zero temperature are known in
one-dimensional spin models but their existence in higher dimensional systems
is still under debate. Biquadratic interaction is responsible for various
possibilities and phases as it is well-founded for one-dimensional systems.
Here we have used a bosonic representation to study the properties at zero and
finite low temperatures of the biquadratic term in the two-dimensional
hexagonal honeycomb lattice. The results show a ordered state at zero
temperature but much more fragile than that of a square lattice; the behavior
at finite low temperatures is in accordance with expectations.Comment: 14 pages, 5 figure
Type II and heterotic one loop string effective actions in four dimensions
We analyze the reduction to four dimensions of the R^4 terms which are part
of the ten-dimensional string effective actions, both at tree level and one
loop. We show that there are two independent combinations of R^4 present, at
one loop, in the type IIA four dimensional effective action, which means they
both have their origin in M-theory. The d=4 heterotic effective action also has
such terms. This contradicts the common belief thathere is only one R^4 term in
four-dimensional supergravity theories, given by the square of the Bel-Robinson
tensor. In pure N=1 supergravity this new R^4 combination cannot be directly
supersymmetrized, but we show that, when coupled to a scalar chiral multiplet
(violating the U(1) -symmetry), it emerges in the action after elimination
of the auxiliary fields.Comment: v2: 22 pages. Discussion on the new R^4 term and extended
supergravity has been abridged and improved. Published versio
One loop superstring effective actions and N=8 supergravity
In a previous article we have shown the existence of a new independent R^4
term, at one loop, in the type IIA and heterotic effective actions, after
reduction to four dimensions, besides the usual square of the Bel-Robinson
tensor. It had been shown that such a term could not be directly
supersymmetrized, but we showed that was possible after coupling to a scalar
chiral multiplet. In this article we study the extended (N=8)
supersymmetrization of this term, where no other coupling can be taken. We show
that such supersymmetrization cannot be achieved at the linearized level. This
is in conflict with the theory one gets after toroidal compactification of type
II superstrings being N=8 supersymmetric. We interpret this result in face of
the recent claim that perturbative supergravity cannot be decoupled from string
theory in d>=4, and N=8, d=4 supergravity is in the swampland.Comment: 28 pages, no figure
Magnetization reversals in a disk-shaped small magnet with an interface
We consider a nanodisk possessing two coupled materials with different
ferromagnetic exchange constant. The common border line of the two media passes
at the disk center dividing the system exactly in two similar half-disks. The
vortex core motion crossing the interface is investigated with a simple
description based on a two-dimensional model which mimics a very thin real
material with such a line defect. The main result of this study is that,
depending on the magnetic coupling which connects the media, the vortex core
can be dramatically and repeatedly flipped from up to down and vice versa by
the interface. This phenomenon produces burst-like emission of spin waves each
time the switching process takes place.Comment: 11 pages, 10 figure
Efficient generation of graph states for quantum computation
We present an entanglement generation scheme which allows arbitrary graph
states to be efficiently created in a linear quantum register via an auxiliary
entangling bus. The dynamics of the entangling bus is described by an effective
non-interacting fermionic system undergoing mirror-inversion in which qubits,
encoded as local fermionic modes, become entangled purely by Fermi statistics.
We discuss a possible implementation using two species of neutral atoms stored
in an optical lattice and find that the scheme is realistic in its requirements
even in the presence of noise.Comment: 4 pages, 3 figures, RevTex 4; v2 - Major changes and new result
Energy in an Expanding Universe in the Teleparallel Geometry
The main purpose of this paper is to explicitly verify the consistency of the
energy-momentum and angular momentum tensor of the gravitational field
established in the Hamiltonian structure of the Teleparallel Equivalent of
General Relativity (TEGR). In order to reach these objectives, we obtained the
total energy and angular momentum (matter plus gravitational field) of the
closed universe of the Friedmann-Lemaitre-Robertson-Walker (FLRW). The result
is compared with those obtained from the pseudotensors of Einstein and
Landau-Lifshitz. We also applied the field equations (TEGR) in an expanding
FLRW universe. Considering the stress energy-momentum tensor for a perfect
fluid, we found a teleparallel equivalent of Friedmann equations of General
Relativity (GR).Comment: 19 pages, no figures. Revised in view of Referee's comments. Version
to appear in the Brazilian Journal of Physic
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