582 research outputs found
Field dependence of the magnetic spectrum in anisotropic and Dzyaloshinskii-Moriya antiferromagnets: I. Theory
We consider theoretically the effects of an applied uniform magnetic field on
the magnetic spectrum of anisotropic two-dimensional and Dzyaloshinskii-Moriya
layered quantum Heisenberg antiferromagnets. The first case is relevant for
systems such as the two-dimensional square lattice antiferromagnet
Sr(2)CuO(2)Cl(2), while the later is known to be relevant to the physics of the
layered orthorhombic antiferromagnet La(2)CuO(4). We first establish the
correspondence betwenn the low-energy spectrum obtained within the anisotropic
non-linear sigma model and by means of the spin-wave approximation for a
standard easy-axis antiferromagent. Then, we focus on the field-theory approach
to calculate the magnetic field dependence of the magnon gaps and spectral
intensities for magnetic fields applied along the three possible
crystallographic directions. We discuss the various possible ground states and
their evolution with temperature for the different field orientations, and the
occurrence of spin-flop transitions for fields perpendicular to the layers
(transverse fields) as well as for fields along the easy axis (longitudinal
fields). Measurements of the one-magnon Raman spectrum in Sr(2)CuO(2)Cl(2) and
La(2)CuO(4) and a comparison between the experimental results and the
predictions of the present theory will be reported in part II of this research
work [L. Benfatto et al., cond-mat/0602664].Comment: 21 pages, 11 figures, final version. Part II of the present work is
presented in cond-mat/060266
Impurity susceptibility and the fate of spin-flop transitions in lightly-doped La(2)CuO(4)
We investigate the occurrence of a two-step spin-flop transition and spin
reorientation when a longitudinal magnetic field is applied to lightly
hole-doped La(2)CuO(4). We find that for large and strongly frustrating
impurities, such as Sr in La(2-x)Sr(x)CuO(4), the huge enhancement of the
longitudinal susceptibility suppresses the intermediate flop and the
reorientation of spins is smooth and continuous. Contrary, for small and weakly
frustrating impurities, such as O in La(2)CuO(4+y), a discontinuous spin
reorientation (two-step spin-flop transition) takes place. Furthermore, we show
that for La(2-x)Sr(x)CuO(4) the field dependence of the magnon gaps differs
qualitatively from the La(2)CuO(4) case, a prediction to be verified with Raman
spectroscopy or neutron scattering.Comment: 4 pages, 3 figures, For the connection between spin-flops and
magnetoresistance, see cond-mat/061081
Extended scaling relations for planar lattice models
It is widely believed that the critical properties of several planar lattice
models, like the Eight Vertex or the Ashkin-Teller models, are well described
by an effective Quantum Field Theory obtained as formal scaling limit. On the
basis of this assumption several extended scaling relations among their indices
were conjectured. We prove the validity of some of them, among which the ones
by Kadanoff, [K], and by Luther and Peschel, [LP].Comment: 32 pages, 7 fi
Charged-phonon theory and Fano effect in the optical spectroscopy of bilayer graphene
Since their discovery, graphene-based systems represent an exceptional
playground to explore the emergence of peculiar quantum effects. The present
paper focuses on the anomalous appearence of strong infrared phonon resonances
in the optical spectroscopy of bilayer graphene and on their pronounced
Fano-like asymmetry, both tunable in gated devices. By developing a full
microscopic many-body approach for the optical phonon response we explain how
both effects can be quantitatively accounted for by the quantum interference of
electronic and phononic excitations. We show that the phonon modes borrow a
large dipole intensity from the electronic background, the so-called
charged-phonon effect, and at the same time interfer with it, leading to a
typical Fano response. Our approach allows one to disentangle the correct
selection rules that control the relative importance of the two (symmetric and
antisymmetric) relevant phonon modes for different values of the doping and/or
of the gap in bilayer graphene. Finally, we discuss the extension of the same
theoretical scheme to the Raman spectroscopy, to explain the lack of the same
features on the Raman phononic spectra. Besides its remarkable success in
explaining the existing experimental data in graphene-based systems, the
present theoretical approach offers a general scheme for the microscopic
understanding of Fano-like features in a wide variety of other systems.Comment: 16 pages, 11 eps figures, PR
Theory of fluctuation conductivity from interband pairing in pnictide superconductors
We derive the effective action for superconducting fluctuations in a
four-band model for pnictides, discussing the emergence of a single critical
mode out of a dominant interband pairing mechanism. We then apply our model to
calculate the paraconductivity in two-dimensional and layered three-dimensional
systems, and compare our results with recent resistivity measurements in
SmFeAsOFComment: 4 pages, 1 figure; final versio
Rigorous proof of Luttinger liquid behavior in the 1d Hubbard model
We give the first rigorous (non perturbative) proof of Luttinger liquid
behavior in the one dimensional Hubbard model, for small repulsive interaction
and values of the density different from half filling. The analysis is based on
the combination of multiscale analysis with Ward identities bases on a hidden
and approximate local chiral gauge invariance. No use is done of exact
solutions or special integrability properties of the Hubbard model, and the
results can be in fact easily generalized to include non local interactions,
magnetic fields or interaction with external potential
Anomalous behavior in an effective model of graphene with Coulomb interactions
We analyze by exact Renormalization Group (RG) methods the infrared
properties of an effective model of graphene, in which two-dimensional massless
Dirac fermions propagating with a velocity smaller than the speed of light
interact with a three-dimensional quantum electromagnetic field. The fermionic
correlation functions are written as series in the running coupling constants,
with finite coefficients that admit explicit bounds at all orders. The
implementation of Ward Identities in the RG scheme implies that the effective
charges tend to a line of fixed points. At small momenta, the quasi-particle
weight tends to zero and the effective Fermi velocity tends to a finite value.
These limits are approached with a power law behavior characterized by
non-universal critical exponents.Comment: 42 pages, 7 figures; minor corrections, one appendix added (Appendix
A). To appear in Ann. Henri Poincar
Frequency-dependent Thermal Response of the Charge System and Restricted Sum Rules in La(2-x)Sr(x)CuO(4)
By using new and previous measurements of the -plane conductivity
of LaSrCuO (LSCO) it is shown that
the spectral weight
obeys the same law which holds for a conventional
metal like gold, for 's below the plasma frequency. However
, which measures the "thermal response" of the charge system, in
LSCO exhibits a peculiar behavior which points towards correlation effects. In
terms of hopping models, is directly related to an energy scale
, smaller by one order of magnitude than the full bandwidth .Comment: 4 pages with 3 fig
Functional Integral Construction of the Thirring model: axioms verification and massless limit
We construct a QFT for the Thirring model for any value of the mass in a
functional integral approach, by proving that a set of Grassmann integrals
converges, as the cutoffs are removed and for a proper choice of the bare
parameters, to a set of Schwinger functions verifying the Osterwalder-Schrader
axioms. The corresponding Ward Identities have anomalies which are not linear
in the coupling and which violate the anomaly non-renormalization property.
Additional anomalies are present in the closed equation for the interacting
propagator, obtained by combining a Schwinger-Dyson equation with Ward
Identities.Comment: 55 pages, 9 figure
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