58 research outputs found
Single Hole Green's Functions in Insulating Copper Oxides at Nonzero Temperature
We consider the single hole dynamics in a modified model at finite
temperature. The modified model includes a next nearest () and next-next
nearest () hopping. The model has been considered before in the zero
temperature limit to explain angle resolved photo-emission measurements. We
extend this consideration to the case of finite temperature where long-range
anti-ferromagnetic order is destroyed, using the self-consistent Born
approximation. The Dyson equation which relates the single hole Green's
functions for a fixed pseudo-spin and for fixed spin is derived. The Green's
function with fixed pseudo-spin is infrared stable but the Green's function
with fixed spin is close to an infrared divergency. We demonstrate how to
renormalize this Green's function in order to assure numerical convergence. At
non-zero temperature the quasi-particle peaks are found to shift down in energy
and to be broadened.Comment: 7 pages, RevTex, 5 Postscript figure
Comparison of 32-site exact diagonalization results and ARPES spectral functions for the AFM insulator
We explore the success of various versions of the one-band t-J model in
explaining the full spectral functions found in angle-resolved photoemission
spectra for the prototypical, quasi two-dimensional, tetragonal,
antiferromagnetic insulator . After presenting arguments
justifying our extraction of from the experimental data, we rely
on exact-diagonalization results from studies of a square 32-site lattice, the
largest cluster for which such information is presently available, to perform
this comparison. Our work leads us to believe that (i) a one-band model that
includes hopping out to third-nearest neighbours, as well three-site,
spin-dependent hopping, can indeed explain not only the dispersion relation,
but also the quasiparticle lifetimes -- only in the neighbourhood of do we find disagreement; (ii) an energy-dependent broadening
function, , is important in accounting for the
incoherent contributions to the spectral functions.Comment: 8 pages, Revtex
Anisotropic Superexchange for nearest and next nearest coppers in chain, ladder and lamellar cuprates
We present a detailed calculation of the magnetic couplings between
nearest-neighbor and next-nearest-neighbor coppers in the edge-sharing
geometry, ubiquitous in many cuprates. In this geometry, the interaction
between nearest neighbor coppers is mediated via two oxygens, and the Cu-O-Cu
angle is close to 90 degrees. The derivation is based on a perturbation
expansion of a general Hubbard Hamiltonian, and produces numerical estimates
for the various magnetic energies. In particular we find the dependence of the
anisotropy energies on the angular deviation away from the 90 degrees geometry
of the Cu-O-Cu bonds. Our results are required for the correct analysis of the
magnetic structure of various chain, ladder and lamellar cuprates.Comment: 13 pages, Latex, 7 figure
Angle-resolved photoemission study of untwinned PrBaCuO: undoped CuO plane and doped CuO chain
We have performed an angle-resolved photoemission study on untwinned
PrBaCuO, which has low resistivity but does not show
superconductivity. We have observed a dispersive feature with a band maximum
around (/2,/2), indicating that this band is derived from the undoped
CuO plane. We have observed another dispersive band exhibiting
one-dimensional character, which we attribute to signals from the doped CuO
chain. The overall band dispersion of the one-dimensional band agrees with the
prediction of model calculation with parameters relevant to cuprates
except that the intensity near the Fermi level is considerably suppressed in
the experiment.Comment: 6 pages, 10 figure
Electronic States and Magnetic Propertis of Edge-sharing Cu-O Chains
The electronic states and magnetic properties for the copper oxides
containing edge-sharing Cu-O chains such as LiCuO,
LaCaCuO and CuGeO are systematically studied. The
optical conductivity and the temperature dependence of the
magnetic susceptibility for single crystalline samples LiCuO
are measured as a reference system and analyzed by using the exact
diagonalization method for small Cu-O clusters. It is shown that the spectral
distribution of is different between edge-sharing and
corner-sharing Cu-O-Cu bonds. The charge transfer gap in edge-sharing chains is
larger than that of high- cuprates. The exchange interaction between
nearest-neighbor copper ions in edge-sharing chains depends sensitively
on the Cu-O-Cu bond angles. In addition to , the exchange interaction
between next-nearest-neighbor copper ions has sufficient contribution to
the magnetic properties. We calculate and for all the copper oxides
containing edge-sharing Cu-O chains and discuss the magnetic properties.Comment: 10 pages,RevTeX,8 postscript figures. Accepted for publication in
Phys. Rev.
Hole photoproduction in insulating copper oxide
Basing on t-J model we calculate the k-dependence of a single hole
photoproduction probability for CuO2 plane at zero doping. We also discuss the
radiation of spin-waves which can substantially deform the shape of
photoemission spectra.Comment: latex 8 pages, 3 figure
Magnetic polarons in weakly doped high-Tc superconductors
We consider a spin Hamiltonian describing - exchange interactions
between localized spins of a finite antiferromagnet as well as -
interactions between a conducting hole () and localized spins. The spin
Hamiltonian is solved numerically with use of Lanczos method of
diagonalization. We conclude that - exchange interaction leads to
localization of magnetic polarons. Quantum fluctuations of the antiferromagnet
strengthen this effect and make the formation of polarons localized in one site
possible even for weak - coupling. Total energy calculations, including
the kinetic energy, do not change essentially the phase diagram of magnetic
polarons formation. For parameters reasonable for high- superconductors
either a polaron localized on one lattice cell or a small ferron can form. For
reasonable values of the dielectric function and - coupling, the
contributions of magnetic and phonon terms in the formation of a polaron in
weakly doped high- materials are comparable.Comment: revised, revtex-4, 12 pages 8 eps figure
Angle resolved photoemission spectroscopy of Sr_2CuO_2Cl_2 - a revisit
We have investigated the lowest binding-energy electronic structure of the
model cuprate Sr_2CuO_2Cl_2 using angle resolved photoemission spectroscopy
(ARPES). Our data from about 80 cleavages of Sr_2CuO_2Cl_2 single crystals give
a comprehensive, self-consistent picture of the nature of the first
electron-removal state in this model undoped CuO_2-plane cuprate. Firstly, we
show a strong dependence on the polarization of the excitation light which is
understandable in the context of the matrix element governing the photoemission
process, which gives a state with the symmetry of a Zhang-Rice singlet.
Secondly, the strong, oscillatory dependence of the intensity of the Zhang-Rice
singlet on the exciting photon-energy is shown to be consistent with
interference effects connected with the periodicity of the crystal structure in
the crystallographic c-direction. Thirdly, we measured the dispersion of the
first electron-removal states along G->(pi,pi) and G->(pi,0), the latter being
controversial in the literature, and have shown that the data are best fitted
using an extended t-J-model, and extract the relevant model parameters. An
analysis of the spectral weight of the first ionization states for different
excitation energies within the approach used by Leung et al. (Phys. Rev. B56,
6320 (1997)) results in a strongly photon-energy dependent ratio between the
coherent and incoherent spectral weight. The possible reasons for this
observation and its physical implications are discussed.Comment: 10 pages, 8 figure
Visualizing the atomic scale electronic structure of the Ca2CuO2Cl2 Mott insulator
Although the mechanism of superconductivity in the cuprates remains elusive,
it is generally agreed that at the heart of the problem is the physics of doped
Mott insulators. The cuprate parent compound has one unpaired electron per Cu
site, and is predicted by band theory to be a half-filled metal. The strong
onsite Coulomb repulsion, however, prohibits electron hopping between
neighboring sites and leads to a Mott insulator ground state with
antiferromagnetic (AF) ordering. Charge carriers doped into the CuO2 plane
destroy the insulating phase and superconductivity emerges as the carrier
density is sufficiently high. The natural starting point for tackling high Tc
superconductivity is to elucidate the electronic structure of the parent Mott
insulator and the behavior of a single doped charge. Here we use a scanning
tunneling microscope to investigate the atomic scale electronic structure of
the Ca2CuO2Cl2 parent Mott insulator of the cuprates. The full electronic
spectrum across the Mott-Hubbard gap is uncovered for the first time, which
reveals the particle-hole symmetric and spatially uniform Hubbard bands. A
single electron donated by surface defect is found to create a broad in-gap
electronic state that is strongly localized in space with spatial
characteristics intimately related to the AF spin background. The unprecedented
real space electronic structure of the parent cuprate sheds important new light
on the origion of high Tc superconductivity from the doped Mott insulator
perspective.Comment: 26 pages, 4 figures, supplementary information include
- …