4,859 research outputs found
Algebraic Geometry over Free Metabelian Lie Algebra I: U-Algebras and Universal Classes
This paper is the first in a series of three, the aim of which is to lay the
foundations of algebraic geometry over the free metabelian Lie algebra . In
the current paper we introduce the notion of a metabelian Lie -algebra and
establish connections between metabelian Lie -algebras and special matrix
Lie algebras. We define the -localisation of a metabelian Lie
-algebra and the direct module extension of the Fitting's radical of
and show that these algebras lie in the universal closure of .Comment: 34 page
Effects of the electron-phonon coupling near and within the insulating Mott phase
The role of the electron-phonon interaction in the Holstein-Hubbard model is
investigated in the metallic phase close to the Mott transition and in the
insulating Mott phase. The model is studied by means of a variational slave
boson technique. At half-filling, mean-field static quantities are in good
agreement with the results obtained by numerical techniques. By taking into
account gaussian fluctuations, an analytic expression of the spectral density
is derived in the Mott insulating phase showing that an increase of the
electron-phonon coupling leads to a sensitive reduction of the Mott gap through
a reduced effective repulsion. The relation of the results with recent
experimental observations in strongly correlated systems is discussed.Comment: 4 pages, 4 figure
Optical properties of small polarons from dynamical mean-field theory
The optical properties of polarons are studied in the framework of the
Holstein model by applying the dynamical mean-field theory. This approach
allows to enlighten important quantitative and qualitative deviations from the
limiting treatments of small polaron theory, that should be considered when
interpreting experimental data. In the antiadiabatic regime, accounting on the
same footing for a finite phonon frequency and a finite electron bandwidth
allows to address the evolution of the optical absorption away from the
well-understood molecular limit. It is shown that the width of the multiphonon
peaks in the optical spectra depends on the temperature and on the frequency in
a way that contradicts the commonly accepted results, most notably in the
strong coupling case. In the adiabatic regime, on the other hand, the present
method allows to identify a wide range of parameters of experimental interest,
where the electron bandwidth is comparable or larger than the broadening of the
Franck-Condon line, leading to a strong modification of both the position and
the shape of the polaronic absorption. An analytical expression is derived in
the limit of vanishing broadening, which improves over the existing formulas
and whose validity extends to any finite-dimensional lattice. In the same
adiabatic regime, at intermediate values of the interaction strength, the
optical absorption exhibits a characteristic reentrant behavior, with the
emergence of sharp features upon increasing the temperature -- polaron
interband transitions -- which are peculiar of the polaron crossover, and for
which analytical expressions are provided.Comment: 16 pages, 6 figure
Bethe roots and refined enumeration of alternating-sign matrices
The properties of the most probable ground state candidate for the XXZ spin
chain with the anisotropy parameter equal to -1/2 and an odd number of sites is
considered. Some linear combinations of the components of the considered state,
divided by the maximal component, coincide with the elementary symmetric
polynomials in the corresponding Bethe roots. It is proved that those
polynomials are equal to the numbers providing the refined enumeration of the
alternating-sign matrices of order M+1 divided by the total number of the
alternating-sign matrices of order M, for the chain of length 2M+1.Comment: LaTeX 2e, 12 pages, minor corrections, references adde
Resistivity studies under hydrostatic pressure on a low-resistance variant of the quasi-2D organic superconductor kappa-(BEDT-TTF)2Cu[N(CN)2]Br: quest for intrinsic scattering contributions
Resistivity measurements have been performed on a low (LR)- and high
(HR)-resistance variant of the kappa-(BEDT-TTF)_2Cu[N(CN)_2]Br superconductor.
While the HR sample was synthesized following the standard procedure, the LR
crystal is a result of a somewhat modified synthesis route. According to their
residual resistivities and residual resistivity ratios, the LR crystal is of
distinctly superior quality. He-gas pressure was used to study the effect of
hydrostatic pressure on the different transport regimes for both variants. The
main results of these comparative investigations are (i) a significant part of
the inelastic-scattering contribution, which causes the anomalous rho(T)
maximum in standard HR crystals around 90 K, is sample dependent, i.e.
extrinsic in nature, (ii) the abrupt change in rho(T) at T* approx. 40 K from a
strongly temperature-dependent behavior at T > T* to an only weakly T-dependent
rho(T) at T < T* is unaffected by this scattering contribution and thus marks
an independent property, most likely a second-order phase transition, (iii)
both variants reveal a rho(T) proportional to AT^2 dependence at low
temperatures, i.e. for T_c < T < T_0, although with strongly sample-dependent
coefficients A and upper bounds for the T^2 behavior measured by T_0. The
latter result is inconsistent with the T^2 dependence originating from coherent
Fermi-liquid excitations.Comment: 8 pages, 6 figure
Comment on `Dynamical properties of small polarons'
We show that the conclusion on the breakdown of the standard small polaron
theory made recently by E.V. deMello and J. Ranninger (Phys. Rev. B 55, 14872
(1997)) is a result of an incorrect interpretation of the electronic and
vibronic energy levels of the two-site Holstein model. The small polaron
theory, when properly applied, agrees well with the numerical results of these
authors. Also we show that their attempt to connect the properties of the
calculated correlation functions with the features of the intersite electron
hopping is unsuccessful.Comment: To appear in Phys. Rev.
Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
We derive expressions for pion electroproduction amplitudes in the 1/N_c
expansion of QCD, and obtain from them linear relations between the
electromagnetic multipole amplitudes that hold at all energies. The
leading-order relations in 1/N_c compare favorably with available data
(especially away from resonances), but the next-to-leading-order relations tend
to provide only small or no improvement.Comment: 45 pages, pdflatex, contains multiple figures but .pdf file is < 4
MB. This version to appear in Phys. Rev. D, but has much better figure
resolution. References greatly expanded, some additional discussio
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