2,120 research outputs found
Excitations in one-dimensional S=1/2 quantum antiferromagnets
The transition from dimerized to uniform phases is studied in terms of
spectral weights for spin chains using continuous unitary transformations
(CUTs). The spectral weights in the S=1 channel are computed perturbatively
around the limit of strong dimerization. We find that the spectral weight is
concentrated mainly in the subspaces with a small number of elementary triplets
(triplons), even for vanishing dimerization. So, besides spinons, triplons may
be used as elementary excitations in spin chains. We conclude that there is no
necessity to use fractional excitations in low-dimensional, undoped or doped
quantum antiferromagnets.Comment: 4 pages, 1 figure include
The continuum limit of the integrable open XYZ spin-1/2 chain
We show that the continuum limit of the integrable XYZ spin-1/2 chain on a
half-line gives rise to the boundary sine-Gordon theory using the perturbation
method.Comment: 8pages, LaTeX; typos in eq.(11) removed, one in reference correcte
Disorder Induced Quantum Phase Transition in Random-Exchange Spin-1/2 Chains
We investigate the effect of quenched bond-disorder on the anisotropic
spin-1/2 (XXZ) chain as a model for disorder induced quantum phase transitions.
We find non-universal behavior of the average correlation functions for weak
disorder, followed by a quantum phase transition into a strongly disordered
phase with only short-range xy-correlations. We find no evidence for the
universal strong-disorder fixed point predicted by the real-space
renormalization group, suggesting a qualitatively different view of the
relationship between quantum fluctuations and disorder.Comment: 4 pages, 4 postscript figures, needs RevTeX
Current drag in capacitevly coupled Luttinger constrictions
We study the current drag in the system of two electrostatically coupled
finite 1D electron channels. We present the perturbation theory results along
with the results for two non-perturbative regimes. It is shown that the drag
may become absolute, that is, the currents in the channels are equal in a
finite window of the bias voltages.Comment: 4 pages RevTeX, 3 postscript figure
Three-body correlations in the ground-state decay of 26O
Background: Theoretical calculations have shown that the energy and angular
correlations in the three-body decay of the two-neutron unbound O26 can provide
information on the ground-state wave function, which has been predicted to have
a dineutron configuration and 2n halo structure.
Purpose: To use the experimentally measured three-body correlations to gain
insight into the properties of O26, including the decay mechanism and
ground-state resonance energy.
Method: O26 was produced in a one-proton knockout reaction from F27 and the
O24+n+n decay products were measured using the MoNA-Sweeper setup. The
three-body correlations from the O26 ground-state resonance decay were
extracted. The experimental results were compared to Monte Carlo simulations in
which the resonance energy and decay mechanism were varied.
Results: The measured three-body correlations were well reproduced by the
Monte Carlo simulations but were not sensitive to the decay mechanism due to
the experimental resolutions. However, the three-body correlations were found
to be sensitive to the resonance energy of O26. A 1{\sigma} upper limit of 53
keV was extracted for the ground-state resonance energy of O26.
Conclusions: Future attempts to measure the three-body correlations from the
ground-state decay of O26 will be very challenging due to the need for a
precise measurement of the O24 momentum at the reaction point in the target
Extended Dualization: a method for the Bosonization of Anomalous Fermion Systems in Arbitrary Dimension
The technique of extended dualization developed in this paper is used to
bosonize quantized fermion systems in arbitrary dimension in the low energy
regime. In its original (minimal) form, dualization is restricted to models
wherein it is possible to define a dynamical quantized conserved charge. We
generalize the usual dualization prescription to include systems with dynamical
non--conserved quantum currents. Bosonization based on this extended
dualization requires the introduction of an additional rank (scalar) field
together with the usual antisymmetric tensor field of rank . Our
generalized dualization prescription permits one to clearly distinguish the
arbitrariness in the bosonization from the arbitrariness in the quantization of
the system. We study the bosonization of four--fermion interactions with large
mass in arbitrary dimension. First, we observe that dualization permits one to
formally bosonize these models by invoking the bosonization of the free massive
Dirac fermion and adding some extra model--dependent bosonic terms. Secondly,
we explore the potential of extended dualization by considering the particular
case of \underbar{chiral} four--fermion interactions. Here minimal dualization
is inadequate for calculating the extra bosonic terms. We demonstrate the
utility of extended dualization by successfully completing the bosonization of
this chiral model. Finally, we consider two examples in two dimensions which
illuminate the utility of using extended dualization by showing how
quantization ambiguities in a fermionic theory propagate into the bosonized
version. An explicit parametrization of the quantization ambiguities of the
chiral current in the Chiral Schwinger model is obtained. Similarly, for the
sine--Gordon interaction in the massive Thirring model the quantizationComment: Revised version including major changes in section 3, to be published
in Phys. Rev.
Flow equation solution for the weak to strong-coupling crossover in the sine-Gordon model
A continuous sequence of infinitesimal unitary transformations, combined with
an operator product expansion for vertex operators, is used to diagonalize the
quantum sine-Gordon model for 2 pi < beta^2 < infinity. The leading order of
this approximation already gives very accurate results for the single-particle
gap in the strong-coupling phase. This approach can be understood as an
extension of perturbative scaling theory since it links weak to strong-coupling
behavior in a systematic expansion. The approach should also be useful for
other strong-coupling problems that can be formulated in terms of vertex
operators.Comment: 4 pages, 1 figure, minor changes (typo in Eq. (3) corrected,
references added), published versio
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Kleptoparasitic melees--modelling food stealing featuring contests with multiple individuals
Kleptoparasitism is the stealing of food by one animal from another. This has been modelled in various ways before, but all previous models have only allowed contests between two individuals. We investigate a model of kleptoparasitism where individuals are allowed to fight in groups of more than two, as often occurs in real populations. We find the equilibrium distribution of the population amongst various behavioural states, conditional upon the strategies played and environmental parameters, and then find evolutionarily stable challenging strategies. We find that there is always at least one ESS, but sometimes there are two or more, and discuss the circumstances when particular ESSs occur, and when there are likely to be multiple ESSs
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