37 research outputs found
Doping dependence of bose condensation energy and correlations with spectral peak intensity and superfluid weight in high Tc cuprates
Based on our recent holon-pair boson theory of the t-J Hamiltonian (Phys.
Rev. B 64, 052501 (2001)) we report the doping dependence of the bose
condensation energy, superfluid weight and spectral peak intensity. We find a
universality of doping dependence in these physical quantities, by equally
showing an arch shape in the variations of their magnitudes with the hole
doping concentration. We find that all of these physical quantities scale well
with the positive charge carrier (hole) density x, but not with the electron
density 1-x for the entire range of hole doping. It is shown that the doping
dependence of the condensation energy U at T = 0 K is given by the relation,
with , the pairing gap at 0 K
and , a constant.Comment: 5 pages, 2 figure
Holon-pair boson theory based on the U(1) and SU(2) slave-boson approaches to the t-J Hamiltonian
To supplement our recent brief report on the theory of holon-pair boson
approach to the t-J Hamiltonian [S.-S. Lee and Sung-Ho Suck Salk, Phys. Rev. B
{\bf 64}, 052501(2001)], in this paper we present a full exposure to the
theory, detailed physical implications and predicted various physical
properties of high cuprates. We discuss the significance of coupling
(interplay) between the spin and charge degrees of freedom in the Heisenberg
interaction term of the t-J Hamiltonian. We discuss its importance in causing
the arch-shaped superconducting transition temperature and the pseudogap
(spin gap) temperature tangential to in the overdoped region in the
observed phase diagram of high cuprates. A universal parabolic scaling
behavior of (or ) with hole doping concentration is
predicted in agreement with observations, indicating that there exists
correlation between the pseudogap (spin gap) phase and the superconducting
phase through antiferromagnetic fluctuations. Our proposed holon-pair boson
theory is shown to be self-consistent in that it not only yields the arch
(dome) shape structure of but also reproduces various other physical
properties such as superfluid weight, bose condensation energy, spectral
function, optical conductivity and spin susceptibility, including their
temperature and doping dependence
Origin of the Quasiparticle Peaks of Spectral Functions in High Cuprates
Based on the SU(2) slave-boson approach to the t-J Hamiltonian, we examine
the cause of the sharp peaks('quasiparticle' peaks) in the observed spectral
functions in high cuprates. The computed results reveal that the spectral
weight of the sharp peaks increases with hole doping rate in agreement with
observation. It is shown that the observed sharp peaks are attributed to the
enhancement of spinon pairing(spin singlet pair formation) by the presence of
holon pair bosons in the superconducting state.Comment: 4 pages, 6 figure
Holon Pair Bose Condensation in High Cuprates; Symmetry Breaking and Supersymmetry Conditions
Using the t-J Hamiltonian of U(1) slave-boson symmetry, bose condensation is
discussed by showing the occurrence of symmetry breaking in the hole doped high
cuprates. The symmetry breaking is shown to take place with the d-wave
hole pairing, but not with the s-wave hole pairing. Based on a derived
supersymmetry Hamiltonian we find that there exists a possibility of
supersymmetry conditions in association with the pairing order parameters of
both spinon and holon.Comment: 4 pages, 2 figure
Doping and temperature dependence of superfluid weights for high Tc cuprates
Using the improved slave-boson approach of the t-J Hamiltonian [Phys. Rev. B
64, 052501 (2001)] that we developed recently, we report the hole doping and
temperature dependence of the superfluid weight. It is shown that at low hole
doping concentration x and at low temperatures T there exists a propensity of a
linear decrease of the superfluid weight with temperature, and a
tendency of doping independence in the slope of vs. T in
accordance of the relation with , a constant. It is also demonstrated that Tc increases
with hole doping concentration x, reaches a saturation(maximum) at optimal
doping and decreases with increasing and in the overdoped region.
Such a reflex (decreasing) behavior of Tc is attributed to the weakening of
coupling between the spin(spinon pair order) and charge(holon pair order)
degrees of freedom in the overdoped region. All of these findings are in
agreement with SR measurements.Comment: 6 pages, 5 figure
Undulatory Variation of Antiferromagnetic Strength with Magnetic Field Based on Hubbard Model Hamiltonian
Using the Hubbard model Hamiltonian in a mean field level, we examine the
variation of antiferromagnetic strength with applied magnetic field. It is
demonstrated that minima in the antiferromagnetic strength exist at the the
even integer denominator values of rational number for magnetic flux per
plaquette. The undulatory behavior of antiferromagnetic strength with the
external magnetic field is found. It is seen to be related to the undulatory
net statistical phase owing to the influence of the applied magnetic field.Comment: 11 pages, 3 Postscript figure
Holon Pairing Instability based on the Bethe-Salpeter Equation obtained from the t-J Hamiltonians of both U(1) and SU(2) Slave-boson Symmetries
We investigate a possibility of holon pairing for bose condensation based on
the
Bethe-Salpeter equation obtained from the use of the t-J Hamiltonians of both
t he U(1) and SU(2) slave-boson symmetries. It is shown that the vertex
function contributed from ladder diagram series involving holon-holon
scattering channel in the Bethe-Salpeter equation leads to a singular behavior
at a critical temperature at each hole doping concentration, showing the
instability of the normal state against holon pairing. We find that the holon
pairing instability occurs only in a limited range of hole doping, by showing
an "arch" shaped bose condensation line in agreement with observation for high
cuprates. It is revealed that this is in agreement with a functional
integral approach of the slave-boson theories.Comment: 4 pages, 5 figure
Universal scaling behavior of pseudogap with doping in high Tc cuprates; temperature and doping dependence of spectral intensity
Based on our improved SU(2) slave-boson approach (Phys. Rev. B 64,
052501(2001)) to the t-J Hamiltonian, we report a scaling behavior of pseudogap
with doping and the temperature and doping dependence of spectral functions. In
addition we discuss the cause of hump and quasi-particle peak in the observed
spectral functions of high Tc cuprates. It is demonstrated that the sharpening
of the observed quasi-particle peak below Tc is attributed to the bose
condensation of holon pair. From the computed ratios of pseudogap to
both the superconducting temperature Tc and the pseudogap temperature as
a function of hole doping concentration x, we find that there exists a
universal scaling of these ratios with doping, that is, the hyperbolic scaling
behavior of the former, with
and near doping independence of the latter, are found.Comment: 5 pages, 5 figure
The Fermion Chern-Simons Gauge Theory of Fractional Quantum Hall Effect for Electromagnetic Polarization Tensor
Unlike an earlier theory, by avoiding both the electromagnetic gauge field
shift and the assumption of the zero average of electromagnetic field
fluctuation the fermion Chern-Simons gauge theory is reformulated to obtain
mean field solutions and a self-consistent expression of the electromagnetic
polarization tensor in terms of the composite fermion picture for the systems
of fractional quantum Hall effect. Thus the newly derived electromagnetic
polarization tensor is shown to depend on the residual (effective) magnetic
field `seen' by composite fermions rather than the statistical field, which
differs from the earlier theory. The present theory reproduces the Hall
conductance of fractional quantum Hall effect. The self-consistent picture of
the composite fermion is maintained in all of our derivations: both the mean
field solutions and the electromagnetic polarization tensor are described by
the residual magnetic field seen by the composite fermions.Comment: 10 pages, Phys. Rev. B in pres
Quasiparticle Energy Dispersion and Shadow Peaks in a Doped SO(5) Symmetric Ladder
Mean field and exact diagonalization studies on the quasiparticle excitation
of an SO(5) symmetric two-leg ladder system are reported. It is shown that the
energy gap in the quasiparticle excitation is caused by the formation of rung
singlet states. We find that shadow peaks can occur above the Fermi surface
with antiferromagnetic electron correlations involving only rungs in the spin
ladder.Comment: 13 pages, 4 figure