2,046 research outputs found
Hubbard Models as Fusion Products of Free Fermions
A class of recently introduced su(n) `free-fermion' models has recently been
used to construct generalized Hubbard models. I derive an algebra defining the
`free-fermion' models and give new classes of solutions. I then introduce a
conjugation matrix and give a new and simple proof of the corresponding
decorated Yang-Baxter equation. This provides the algebraic tools required to
couple in an integrable way two copies of free-fermion models. Complete
integrability of the resulting Hubbard-like models is shown by exhibiting their
L and R matrices. Local symmetries of the models are discussed. The
diagonalization of the free-fermion models is carried out using the algebraic
Bethe Ansatz.Comment: 14 pages, LaTeX. Minor modification
On higher analogues of Courant algebroids
In this paper, we study the algebraic properties of the higher analogues of
Courant algebroid structures on the direct sum bundle
for an -dimensional manifold. As an application, we revisit Nambu-Poisson
structures and multisymplectic structures. We prove that the graph of an
-vector field is closed under the higher-order Dorfman bracket iff
is a Nambu-Poisson structure. Consequently, there is an induced Leibniz
algebroid structure on . The graph of an -form is
closed under the higher-order Dorfman bracket iff is a
premultisymplectic structure of order , i.e. \dM\omega=0. Furthermore,
there is a Lie algebroid structure on the admissible bundle
. In particular, for a 2-plectic structure, it induces
the Lie 2-algebra structure given in \cite{baez:classicalstring}.Comment: 13 page
Effects of Electronic Correlations on the Thermoelectric Power of the Cuprates
We show that important anomalous features of the normal-state thermoelectric
power S of high-Tc materials can be understood as being caused by doping
dependent short-range antiferromagnetic correlations. The theory is based on
the fluctuation-exchange approximation applied to Hubbard model in the
framework of the Kubo formalism. Firstly, the characteristic maximum of S as
function of temperature can be explained by the anomalous momentum dependence
of the single-particle scattering rate. Secondly, we discuss the role of the
actual Fermi surface shape for the occurrence of a sign change of S as a
function of temperature and doping.Comment: 4 pages, with eps figure
Spectral properties of entanglement witnesses
Entanglement witnesses are observables which when measured, detect
entanglement in a measured composed system. It is shown what kind of relations
between eigenvectors of an observable should be fulfilled, to allow an
observable to be an entanglement witness. Some restrictions on the signature of
entaglement witnesses, based on an algebraic-geometrical theorem will be given.
The set of entanglement witnesses is linearly isomorphic to the set of maps
between matrix algebras which are positive, but not completely positive. A
translation of the results to the language of positive maps is also given. The
properties of entanglement witnesses and positive maps express as special cases
of general theorems for -Schmidt witnesses and -positive maps. The
results are therefore presented in a general framework.Comment: published version, some proofs are more detailed, mistakes remove
Genotypic diversity effects on biomass production in native perennial bioenergy cropping systems
Citation: Morris, G. P., Hu, Z., Grabowski, P. P., Borevitz, J. O., de Graaff, M. A., Miller, R. M., & Jastrow, J. D. (2016). Genotypic diversity effects on biomass production in native perennial bioenergy cropping systems. GCB Bioenergy. doi:10.1111/gcbb.12309Article: Version of RecordThe perennial grass species that are being developed as biomass feedstock crops harbor extensive genotypic diversity, but the effects of this diversity on biomass production are not well understood. We investigated the effects of genotypic diversity in switchgrass (Panicum virgatum) and big bluestem (Andropogon gerardii) on perennial biomass cropping systems in two experiments conducted over 2008-2014 at a 5.4-ha fertile field site in northeastern Illinois, USA. We varied levels of switchgrass and big bluestem genotypic diversity using various local and nonlocal cultivars - under low or high species diversity, with or without nitrogen inputs - and quantified establishment, biomass yield, and biomass composition. In one experiment ('agronomic trial'), we compared three switchgrass cultivars in monoculture to a switchgrass cultivar mixture and three different species mixtures, with or without N fertilization. In another experiment ('diversity gradient'), we varied diversity levels in switchgrass and big bluestem (1, 2, 4, or 6 cultivars per plot), with one or two species per plot. In both experiments, cultivar mixtures produced yields equivalent to or greater than the best cultivars. In the agronomic trial, the three switchgrass mixture showed the highest production overall, though not significantly different than best cultivar monoculture. In the diversity gradient, genotypic mixtures had one-third higher biomass production than the average monoculture, and none of the monocultures were significantly higher yielding than the average mixture. Year-to-year variation in yields was lowest in the three-cultivar switchgrass mixtures and Cave-In-Rock (the southern Illinois cultivar) and also reduced in the mixture of switchgrass and big bluestem relative to the species monocultures. The effects of genotypic diversity on biomass composition were modest relative to the differences among species and genotypes. Our findings suggest that local genotypes can be included in biomass cropping systems without compromising yields and that genotypic mixtures could help provide high, stable yields of high-quality biomass feedstocks. © 2015 John Wiley & Sons Ltd
Poisson quasi-Nijenhuis structures with background
We define the Poisson quasi-Nijenhuis structures with background on Lie
algebroids and we prove that to any generalized complex structure on a Courant
algebroid which is the double of a Lie algebroid is associated such a
structure. We prove that any Lie algebroid with a Poisson quasi-Nijenhuis
structure with background constitutes, with its dual, a quasi-Lie bialgebroid.
We also prove that any pair of a Poisson bivector and a 2-form
induces a Poisson quasi-Nijenhuis structure with background and we observe that
particular cases correspond to already known compatibilities between and
.Comment: 11 pages, submitted to Letters in Mathematical Physic
Theory of Spin Fluctuation-Induced Superconductivity Based on a d-p Model. II. -Superconducting State-
The superconducting state of a two-dimensional d-p model is studied from the
spin fluctuation point of view by using a strong coupling theory. The
fluctuation exchange (FLEX) approximatoin is employed to calculate the spin
fluctuations and the superconducting gap functions self-consistently in the
optimal- and over-doped regions of hole concentration. The gap function has a
symmetry of d_{x^2 - y^2} type and develops below the transition temperature
T_c more rapidly than in the BCS model. Its saturation value at the maximum is
about 10 T_c. When the spin fluctuation-induced superconductivity is well
stabilized at low temperatures in the optimal regime, the imaginary part of the
antiferromagnetic spin susceptibility shows a very sharp resonance peak
reminiscent of the 41 meV peak observed in the neutron scattering experiment on
YBCO. The one-particle spectral density around k=(pi,0) shows sharp
quasi-particle peaks followed by dip and hump structures bearing resemblance to
the features observed in the angle-resolved photoemission experiment. With
increasing doping concentration these features gradually disappear.Comment: 13 pages(LaTeX), 20 eps figure
Theory for Dynamical Short Range Order and Fermi Surface Volume in Strongly Correlated Systems
Using the fluctuation exchange approximation of the one band Hubbard model,
we discuss the origin of the changing Fermi surface volume in underdoped
cuprate systems due to the transfer of occupied states from the Fermi surface
to its shadow, resulting from the strong dynamical antiferromagnetic short
range correlations. The momentum and temperature dependence of the quasi
particle scattering rate shows unusual deviations from the conventional Fermi
liquid like behavior. Their consequences for the changing Fermi surface volume
are discussed. Here, we investigate in detail which scattering processes
might be responsible for a violation of the Luttinger theorem. Finally, we
discuss the formation of hole pockets near half filling.Comment: 5 pages, Revtex, 4 postscript figure
The thermal conductivity of the spin-1/2 XXZ chain at arbitrary temperature
Motivated by recent investigations of transport properties of strongly
correlated 1d models and thermal conductivity measurements of quasi 1d magnetic
systems we present results for the integrable spin-1/2 chain. The thermal
conductivity of this model has , i.e. it is infinite for zero frequency . The weight
of the delta peak is calculated exactly by a lattice path
integral formulation. Numerical results for wide ranges of temperature and
anisotropy are presented. The low and high temperature limits are studied
analytically.Comment: 12 page
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