1,611 research outputs found
Spectral Properties near the Mott Transition in the One-Dimensional Hubbard Model
Single-particle spectral properties near the Mott transition in the
one-dimensional Hubbard model are investigated by using the dynamical
density-matrix renormalization group method and the Bethe ansatz. The
pseudogap, hole-pocket behavior, spectral-weight transfer, and upper Hubbard
band are explained in terms of spinons, holons, antiholons, and doublons. The
Mott transition is characterized by the emergence of a gapless mode whose
dispersion relation extends up to the order of hopping t (spin exchange J) in
the weak (strong) interaction regime caused by infinitesimal doping.Comment: 4 pages, 2 figure
Photodarkening of amorphous selenium under high pressure
The photodarkening phenomena of amorphous Se have been studied by the optical absorption coefficient, sound velocity and attenuation measurements. The light illumination at low temperatures induces the photodarkening, and the photodarkened state is completely recovered by annealing near 306 K corresponding to the glass transition temperature. The photodarkening is enhanced by application of pressure. The sound velocity decreases and the sound attenuation increases by the illumination at low temperature. These suggest that a structural disorder increases in the photodarkened state. Three stages are observed for the recovery process of the photodarkened specimen. The photodarkening and the recovery process are discussed on the basis of VAP (valence alternative pair) model.<br /
Effect of Nonmagnetic Impurity in Nearly Antiferromagnetic Fermi Liquid: Magnetic Correlations and Transport Phenomena
In nearly antiferromagnetic (AF) metals such as high-Tc superconductors
(HTSC's), a single nonmagnetic impurity frequently causes nontrivial widespread
change of the electronic states. To elucidate this long-standing issue, we
study a Hubbard model with a strong onsite impurity potential based on an
improved fluctuation-exchange (FLEX) approximation, which we call the GV^I-FLEX
method. This model corresponds to the HTSC with dilute nonmagnetic impurity
concentration. We find that (i) both local and staggered susceptibilities are
strongly enhanced around the impurity. By this reason, (ii) the quasiparticle
lifetime as well as the local density of states (DOS) are strongly suppressed
in a wide area around the impurity (like a Swiss cheese hole), which causes the
``huge residual resistivity'' beyond the s-wave unitary scattering limit. We
stress that the excess quasiparticle damping rate caused by impurities has
strong momentum-dependence due to non-s-wave scatterings induced by many-body
effects, so the structure of the ``hot spot/cold spot'' in the host system
persists against impurity doping. This result could be examined by the ARPES
measurements. In addition, (iii) only a few percent of impurities can causes a
``Kondo-like'' upturn of resistivity () at low temperatures when
the system is very close to the AF quantum critical point (QCP). The results
(i)-(iii) obtained in the present study, which cannot be derived by the simple
FLEX approximation, naturally explains the main impurity effects in HTSC's. We
also discuss the impurity effect in heavy fermion systems and organic
superconductors.Comment: 22 pages, to be published in PR
Black Holes and Random Matrices
We argue that the late time behavior of horizon fluctuations in large anti-de
Sitter (AdS) black holes is governed by the random matrix dynamics
characteristic of quantum chaotic systems. Our main tool is the
Sachdev-Ye-Kitaev (SYK) model, which we use as a simple model of a black hole.
We use an analytically continued partition function as well
as correlation functions as diagnostics. Using numerical techniques we
establish random matrix behavior at late times. We determine the early time
behavior exactly in a double scaling limit, giving us a plausible estimate for
the crossover time to random matrix behavior. We use these ideas to formulate a
conjecture about general large AdS black holes, like those dual to 4D
super-Yang-Mills theory, giving a provisional estimate of the crossover time.
We make some preliminary comments about challenges to understanding the late
time dynamics from a bulk point of view.Comment: 73 pages, 15 figures, minor errors correcte
Onset of Random Matrix Behavior in Scrambling Systems
The fine grained energy spectrum of quantum chaotic systems is widely
believed to be described by random matrix statistics. A basic scale in such a
system is the energy range over which this behavior persists. We define the
corresponding time scale by the time at which the linearly growing ramp region
in the spectral form factor begins. We call this time . The
purpose of this paper is to study this scale in many-body quantum systems that
display strong chaos, sometimes called scrambling systems. We focus on randomly
coupled qubit systems, both local and -local (all-to-all interactions) and
the Sachdev--Ye--Kitaev (SYK) model. Using numerical results for Hamiltonian
systems and analytic estimates for random quantum circuits we find the
following results. For geometrically local systems with a conservation law we
find is determined by the diffusion time across the system,
order for a 1D chain of qubits. This is analogous to the behavior
found for local one-body chaotic systems. For a -local system with
conservation law the time is order but with a different prefactor and
a different mechanism than the scrambling time. In the absence of any
conservation laws, as in a generic random quantum circuit, we find , independent of connectivity.Comment: 61+20 pages, minor errors corrected, and significant edits in Section
Probability density function of turbulent velocity fluctuation
The probability density function (PDF) of velocity fluctuations is studied
experimentally for grid turbulence in a systematical manner. At small distances
from the grid, where the turbulence is still developing, the PDF is
sub-Gaussian. At intermediate distances, where the turbulence is fully
developed, the PDF is Gaussian. At large distances, where the turbulence has
decayed, the PDF is hyper-Gaussian. The Fourier transforms of the velocity
fluctuations always have Gaussian PDFs. At intermediate distances from the
grid, the Fourier transforms are statistically independent of each other. This
is the necessary and sufficient condition for Gaussianity of the velocity
fluctuations. At small and large distances, the Fourier transforms are
dependent.Comment: 7 pages, 8 figures in a PS file, to appear in Physical Review
Asymptotically Friedmann self-similar scalar field solutions with potential
We investigate self-similar solutions which are asymptotic to the Friedmann
universe at spatial infinity and contain a scalar field with potential. The
potential is required to be exponential by self-similarity. It is found that
there are two distinct one-parameter families of asymptotic solutions,one is
asymptotic to the proper Friedmann universe, while the other is asymptotic to
the quasi-Friedmann universe, i.e., the Friedmann universe with anomalous solid
angle. The asymptotically proper Friedmann solution is possible only if the
universe is accelerated or the potential is negative. If the potential is
positive, the density perturbation in the asymptotically proper Friedmann
solution rapidly falls off at spatial infinity, while the mass perturbation is
compensated. In the asymptotically quasi-Friedmann solution, the density
perturbation falls off only in proportion to the inverse square of the areal
radius and the relative mass perturbation approaches a nonzero constant at
spatial infinity. The present result shows that a necessary condition holds in
order that a self-gravitating body grows self-similarly due to the constant
accretion of quintessence in an accelerating universe.Comment: accepted for publication in Physical Review D, minor correction,
typos correcte
Star-shaped Local Density of States around Vortices in a Type II Superconductor
The electronic structure of vortices in a type II superconductor is analyzed
within the quasi-classical Eilenberger framework. The possible origin of a
sixfold ``star'' shape of the local density of states, observed by scanning
tunneling microscope experiments on NbSe, is examined in the light of the
three effects; the anisotropic pairing, the vortex lattice, and the anisotropic
density of states at the Fermi surface. Outstanding features of split parallel
rays of this star are well explained in terms of an anisotropic -wave
pairing. This reveals a rich internal electronic structure associated with a
vortex core.Comment: 4 pages, REVTeX, 3 figures available upon reques
First Nonperturbative Test of a Relativistic Heavy Quark Action in Quenched Lattice QCD
We perform a numerical test of a relativistic heavy quark(RHQ) action,
recently proposed by Tsukuba group, in quenched lattice QCD at
fm. With the use of the improvement parameters previously determined at
one-loop level for the RHQ action, we investigate a restoration of rotational
symmetry for heavy-heavy and heavy-light meson systems around the charm quark
mass. We focused on two quantities, the meson dispersion relation and the
pseudo-scalar meson decay constants. It is shown that the RHQ action
significantly reduces the discretization errors due to the charm quark mass. We
also calculate the S-state hyperfine splittings for the charmonium and
charmed-strange mesons and the meson decay constant. The remaining
discretization errors in the physical quantities are discussed.Comment: 21 pages, 16 figures. A reference and a comment added, a major
modification in appendix, several minor changes in the abstract and the main
text. Errors in affiliation are corrected. Version appeared in JHE
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