649 research outputs found
Extremely Correlated Quantum Liquids
We formulate the theory of an extremely correlated electron liquid,
generalizing the standard Fermi liquid. This quantum liquid has specific
signatures in various physical properties, such as the Fermi surface volume and
the narrowing of electronic bands by spin and density correlation functions.
We use Schwinger's source field idea to generate equations for the Greens
function for the Hubbard operators. A local (matrix) scale transformation in
the time domain to a quasiparticle Greens function, is found to be optimal.
This transformation allows us to generate vertex functions that are guaranteed
to reduce to the bare values for high frequencies, i.e. are ``asymptotically
free''. The quasiparticles are fractionally charged objects, and we find an
exact Schwinger Dyson equation for their Greens function. We find a hierarchy
of equations for the vertex functions, and further we obtain Ward identities so
that systematic approximations are feasible.
An expansion in terms of the density of holes measured from the Mott Hubbard
insulating state follows from the nature of the theory. A systematic
presentation of the formalism is followed by some preliminary explicit
calculations.Comment: 40 pages, typos remove
A Dynamic Renormalization Group Study of Active Nematics
We carry out a systematic construction of the coarse-grained dynamical
equation of motion for the orientational order parameter for a two-dimensional
active nematic, that is a nonequilibrium steady state with uniaxial, apolar
orientational order. Using the dynamical renormalization group, we show that
the leading nonlinearities in this equation are marginally \textit{irrelevant}.
We discover a special limit of parameters in which the equation of motion for
the angle field of bears a close relation to the 2d stochastic Burgers
equation. We find nevertheless that, unlike for the Burgers problem, the
nonlinearity is marginally irrelevant even in this special limit, as a result
of of a hidden fluctuation-dissipation relation. 2d active nematics therefore
have quasi-long-range order, just like their equilibrium counterpartsComment: 31 pages 6 figure
Biochemical characterization of defense responses in rose genotypes in response to artificial inoculation with black spot pathogen Diplocarpon rosae
Resistance responses in the leaves of eight rose genotypes, Knock Out (highly resistant), Arka Nishkant (moderately resistant), R. multiflora (highly susceptible), Arka Swadesh (highly susceptible), IIHRR 13-4 (susceptible), Arka Parimala (susceptible), R. indica (susceptible) and IIHRR 4-15-12 (moderately susceptible), exhibiting varied levels of resistance against black spot were investigated post artificial inoculation with black spot pathogen, Diplocarpon rosae. There was consistent increase in the activities of defense related enzymes such as catalase, peroxidase, polyphenol oxidase, superoxide dismutase and phenylalanine ammonia lyase and other defense related secondary metabolites like phenols and flavonoids at different phases of black spot progression and increase was high in resistant genotypes Knock Out and Arka Nishkant. The peak activity of defense enzymes and high concentration of other metabolites was witnessed during early stages of infection in the resistant genotypes while it was during later phase in the susceptible genotypes. These results suggested that the faster and stronger activation of defense system is associated with the resistance against black spotin the rose genotypes
New perturbation theory of low-dimensional quantum liquids II: operator description of Virasoro algebras in integrable systems
We show that the recently developed {\it pseudoparticle operator algebra}
which generates the low-energy Hamiltonian eigenstates of multicomponent
integrable systems also provides a natural operator representation for the the
Virasoro algebras associated with the conformal-invariant character of the
low-energy spectrum of the these models. Studying explicitly the Hubbard chain
in a non-zero chemical potential and external magnetic field, we establish that
the pseudoparticle perturbation theory provides a correct starting point for
the construction of a suitable critical-point Hamiltonian. We derive explicit
expressions in terms of pseudoparticle operators for the generators of the
Virasoro algebras and the energy-momentum tensor, describe the
conformal-invariant character of the critical point from the point of view of
the response to curvature of the two-dimensional space-time, and discuss the
relation to Kac-Moody algebras and dynamical separation.Comment: 35 pages, RevteX, preprint UA
Role of Endoscopic Retrograde Cholangiography and Nasobiliary Drainage in the Management of Postoperative Biliary Leak
In order to assess the role of endoscopic retrograde cholangiography in evaluating the patients with post-operative biliary leak and of endoscopic nasobiliary drainage in its management, 36 patients with biliary leak seen over a period of 9 years were studied. Thirty-two had biliary leak following cholecystectomy, 3 following repair of liver trauma and 1 following choledochoduodenostomy. Patients presented at an interval of 4 days to 210 days (mean ± SEM, 32.4 ± 6.7 days) following laparotomy. Hyperbilirubinemia was noticed in only 13 patients (36.1%), while abdominal ultrasonogram showed ascites or biloma in 24 (66.7%). Endoscopic retrograde cholangiography showed the leak to involve the common bile duct in 55.6%, cystic duct in 33.3% and intrahepatic biliary radicles in 8.3%. Associated lesions included bile duct obstruction due to stricture or accidental ligature in 20%, bile duct stone in 20% and liver abscess in 2.8%
The Origin of Degeneracies and Crossings in the 1d Hubbard Model
The paper is devoted to the connection between integrability of a finite
quantum system and degeneracies of its energy levels. In particular, we analyze
in detail the energy spectra of finite Hubbard chains. Heilmann and Lieb
demonstrated that in these systems there are crossings of levels of the same
parameter independent symmetry. We show that this apparent violation of the
Wigner-von Neumann noncrossing rule follows directly from the existence of
nontrivial conservation laws and is a characteristic signature of quantum
integrability. The energy spectra of Hubbard chains display many instances of
permanent (at all values of the coupling) twofold degeneracies that cannot be
explained by parameter independent symmetries. We relate these degeneracies to
the different transformation properties of the conserved currents under spatial
reflections and the particle-hole transformation and estimate the fraction of
doubly degenerate states. We also discuss multiply degenerate eigenstates of
the Hubbard Hamiltonian. The wave functions of many of these states do not
depend on the coupling, which suggests the existence of an additional parameter
independent symmetry.Comment: 25 pages, 12 figure
Nonequilibrium steady states in a vibrated-rod monolayer: tetratic, nematic and smectic correlations
We study experimentally the nonequilibrium phase behaviour of a horizontal
monolayer of macroscopic rods. The motion of the rods in two dimensions is
driven by vibrations in the vertical direction. Aside from the control
variables of packing fraction and aspect ratio that are typically explored in
molecular liquid crystalline systems, due to the macroscopic size of the
particles we are also able to investigate the effect of the precise shape of
the particle on the steady states of this driven system. We find that the shape
plays an important role in determining the nature of the orientational ordering
at high packing fraction. Cylindrical particles show substantial tetratic
correlations over a range of aspect ratios where spherocylinders have
previously been shown by Bates et al (JCP 112, 10034 (2000)) to undergo
transitions between isotropic and nematic phases. Particles that are thinner at
the ends (rolling pins or bails) show nematic ordering over the same range of
aspect ratios, with a well-established nematic phase at large aspect ratio and
a defect-ridden nematic state with large-scale swirling motion at small aspect
ratios. Finally, long-grain, basmati rice, whose geometry is intermediate
between the two shapes above, shows phases with strong indications of smectic
order.Comment: 18 pages and 13 eps figures, references adde
In-orbit Performance of UVIT on ASTROSAT
We present the in-orbit performance and the first results from the
ultra-violet Imaging telescope (UVIT) on ASTROSAT. UVIT consists of two
identical 38cm coaligned telescopes, one for the FUV channel (130-180nm) and
the other for the NUV (200-300nm) and VIS (320-550nm) channels, with a field of
view of 28 . The FUV and the NUV detectors are operated in the high
gain photon counting mode whereas the VIS detector is operated in the low gain
integration mode. The FUV and NUV channels have filters and gratings, whereas
the VIS channel has filters. The ASTROSAT was launched on 28th September 2015.
The performance verification of UVIT was carried out after the opening of the
UVIT doors on 30th November 2015, till the end of March 2016 within the
allotted time of 50 days for calibration. All the on-board systems were found
to be working satisfactorily. During the PV phase, the UVIT observed several
calibration sources to characterise the instrument and a few objects to
demonstrate the capability of the UVIT. The resolution of the UVIT was found to
be about 1.4 - 1.7 in the FUV and NUV. The sensitivity in various
filters were calibrated using standard stars (white dwarfs), to estimate the
zero-point magnitudes as well as the flux conversion factor. The gratings were
also calibrated to estimate their resolution as well as effective area. The
sensitivity of the filters were found to be reduced up to 15\% with respect to
the ground calibrations. The sensitivity variation is monitored on a monthly
basis. UVIT is all set to roll out science results with its imaging capability
with good resolution and large field of view, capability to sample the UV
spectral region using different filters and capability to perform variability
studies in the UV.Comment: 10 pages, To appear in SPIE conference proceedings, SPIE conference
paper, 201
Strangeness, charm and bottom in a chiral quark-meson model
In this paper we investigate an SU(3) extension of the chiral quark-meson
model. The spectra of baryons with strangeness, charm and bottom are considered
within a "rigid oscillator" version of this model. The similarity between the
quark part of the Lagrangian in the model and the Wess-Zumino term in the
Skyrme model is noted. The binding energies of baryonic systems with baryon
number B=2 and 3 possessing strangeness or heavy flavor are estimated. The
results obtained are in good qualitative agreement with those obtained
previously in the topological soliton (Skyrme) model.Comment: 12 pages, no figures. Journal ref: submitted to Nucl.Phys.
Transport properties of one-dimensional interacting fermions in aperiodic potentials
Motivated by the existence of metal-insulator transition in one-dimensional
non-interacting fermions in quasiperiodic and pseudorandom potentials, we
studied interacting spinless fermion models using exact many-body Lanczos
diagonalization techniques. Our main focus was to understand the effect of the
fermion-fermion interaction on the transport properties of aperiodic systems.
We calculated the ground state energy and the Kohn charge stiffness Dc. Our
numerical results indicate that there exists a region in the interaction
strength parameter space where the system may behave differently from the
metallic and insulating phases. This intermediate phase may be characterized by
a power law scaling of the charge stiffness constant in contrast to the
localized phase where Dc scales exponentially with the size of the system.Comment: 11 pages LaTex document with 5 eps figures. Uses revtex style file
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