41 research outputs found
Fermi Surface Evolution, Pseudo Gap and Stagger Gauge Field Fluctuation in Underdoped Cuprates
In the context of t-J model we show that in underdoped regime,beside the
usual long wave length gauge field fluctuation, an additional low energy
fluctuation, staggered gauge field fluctuation plays a crucial role in the
evolution of Fermi surface(FS) as well as the line shape of spectral function
for the cuprates. By including the staggered gauge field fluctuation we
calculate the spectral function of the electrons by RPA(random phase
approximation). The line shape of the spectral function near is very
broad in underdoped case and is quite sharp in overdoped case. For the spectral
function near , the quasiparticle peaks are always very sharp
in both underdoped and overdoped case. The temperature dependence of the
spectral function is also discussed in our present calculation. These results
fit well with the recent ARPES experiments. We also calculate the FS crossover
from a small four segment like FS to a large continuous FS. The reason of such
kind of FS crossover is ascribed to the staggered gauge field fluctuation which
is strong in underdoped regime and becomes much weaker in overdoped regime. The
pseudo gap extracted from the ARPES data can be also interpreted by the
calculation.Comment: 4 pages,6 eps figures include
Theory of Underdoped Cuprates
We develop a slave-boson theory for the t-J model at finite doping which
respects an SU(2) symmetry -- a symmetry previously known to be important at
half filling. The mean field phase diagram is found to be consistent with the
phases observed in the cuprate superconductors, which contains d-wave
superconductor, spin gap, strange metal, and Fermi liquid phases. The spin gap
phase is best understood as the staggered flux phase, which is nevertheless
translationally invariant for physical quantities. The electron spectral
function shows small Fermi pockets at low doping which continuously evolve into
the large Fermi surface at high doping concentrations.Comment: 4 pages, latex(revtex,epsf), 3 figure
Induced local spin-singlet amplitude and pseudogap in high cuprates
In this paper we show that local spin-singlet amplitude with d-wave symmetry,
, can be induced by short-range spin correlations even
in the absence of pairing interactions. Fluctuation theory is formulated to
make connection between pseudogap temperature $T^{*}$, pseudogap size
$\Delta_{pg}$ and . In the present scenario for the
pseudogap, the normal state pseudogap is caused by the induced local
spin-singlet amplitude due to short-range spin correlations, which compete in
the low energy sector with superconducting correlations to make go to
zero near half-filling. Calculated falls from a high value onto the
line and closely follows mean-field N\'{e}el temperature .
The calculated is in good agreement with experimental results. We
propose an experiment in which the present scenario can be critically tested.Comment: 5 pages, 3 figure
Nontrivial behavior of the Fermi arc in the staggered-flux ordered phase
The doping and temperature dependences of the Fermi arc in the
staggered-flux, or the d-density wave, ordered phase of the t-J model are
analyzed by the U(1) slave boson theory. Nontrivial behavior is revealed by the
self-consistent calculation. At low doped and finite-temperature region, both
the length of the Fermi arc and the width of the Fermi pocket are proportional
to and the area of the Fermi pocket is proportional to .
This behavior is completely different from that at the zero temperature, where
the area of the Fermi pocket becomes . This behavior should be
observed by detailed experiments of angle-resolved photoemission spectroscopy
in the pseudogap phase of high-T_c cuprates if the pseudogap phase is the
staggered-flux ordered phase.Comment: 4 pages, 4 figure
Fluctuation effects of gauge fields in the slave-boson t-J model
We present a quantitative study of the charge-spin separation(CSS) phenomenon
in a U(1) gauge theory of the t-J model of high-Tc superconductures. We
calculate the critical temperature of confinement-deconfinement phase
transition below which the CSS takes place.Comment: Latex, 9 pages, 3 figure
Bipolaronic charge excitations in t-J two-leg ladders
We present a low-energy effective model for the charge degrees of freedom in
two-leg t-J ladders. Starting from SU(2) mean-field theory, we exclude the spin
degrees of freedom which have an energy gap. At low temperatures, the
mean-field solution is the staggered-flux phase. For gapless charge excitations
the effective theory is the Luther-Emery liquid. Our analysis is applicable at
low doping and in the ``physical'' range of parameters where there
is only one massless mode in the charge sector and no massless modes in the
spin sector. Within our model we make predictions about correlation exponents
and the superconductivity order parameter, and discuss the comparison with the
existing numerical results.Comment: ReVTeX, 14 pages, 11 figures, uses eps
Staggered flux state of electron in two-dimensional t-J model
The competition between the staggered flux state, or the d-density wave
state, and the d-wave pairing state is analyzed in two-dimensional t-J model
based on the U(1) slave boson mean-field theory. Not only staggered flux of
spinon but also staggered flux of holon are considered. In this formalism, the
hopping order parameter of electron is described by the product of
hopping order parameters of spinon and holon. The staggered flux amplitude of
electron is the difference of staggered flux amplitude of spinon and that of
holon. In -flux phase of spinon, staggered fluxes of spinon and holon
cancel completely and staggered flux order of electron does not exist. However,
in staggered flux phase of spinon whose staggered flux amplitude is not ,
fluxes does not cancel completely and staggered flux amplitude of electron
remains. Thus, the phase transition between these two phases, -flux phase
and staggered flux phase of spinon, becomes a second order transition in
electron picture. The order parameter which characterizes this
transition is staggered flux order parameter of electron. A mean-field phase
diagram is shown. It is proved analytically that there is no coexisistence of
staggered flux and d-wave pairing. The temperature dependences of Fermi surface
and excitation gap at are shown. These behaviors are consistent with
angle-resolved photoemission spectroscopy (ARPES) experiments.Comment: 10 pages, 8 figure
The Bose Metal: gauge field fluctuations and scaling for field tuned quantum phase transitions
In this paper, we extend our previous discussion of the Bose metal to the
field tuned case. We point out that the recent observation of the metallic
state as an intermediate phase between the superconductor and the insulator in
the field tuned experiments on MoGe films is in perfect consistency with the
Bose metal scenario. We establish a connection between general dissipation
models and gauge field fluctuations and apply this to a discussion of scaling
across the quantum phase boundaries of the Bose metallic state. Interestingly,
we find that the Bose metal scenario implies a possible {\em two} parameter
scaling for resistivity across the Bose metal-insulator transition, which is
remarkably consistent with the MoGe data. Scaling at the superconductor-metal
transition is also proposed, and a phenomenolgical model for the metallic state
is discussed. The effective action of the Bose metal state is described and its
low energy excitation spectrum is found to be .Comment: 15 pages, 1 figur
An SU(2) Formulation of the t-J model: Application to Underdoped Cuprates
We develop a slave-boson theory for the t-J model at finite doping which
respect a SU(2) symmetry -- a symmetry previously known to be important at half
filling. The mean field phase diagram is found to be consistent with the phases
observed in the cuprate superconductors, which contains d-wave superconductor,
spin gap, strange metal, and Fermi liquid phases. The spin gap phase is best
understood as the staggered flux phase, which is nevertheless translationally
invariant for physical quantities. The physical electron spectral function
shows small Fermi segments at low doping which continuously evolve into the
large Fermi surface at high doping concentrations. The close relation between
the SU(2) and the U(1) slave-boson theory is discussed. The low energy
effective theory for the low lying fluctuations is derived, and new lying modes
(which were over looked in the U(1) theory) are identified.Comment: 28 pages, 8 figures, RevTe
Inhomogeneously doped two-leg ladder systems
A chemical potential difference between the legs of a two-leg ladder is found
to be harmful for Cooper pairing. The instability of superconductivity in such
systems is analyzed by compairing results of various analytical and numerical
methods. Within a strong coupling approach for the t-J model, supplemented by
exact numerical diagonalization, hole binding is found unstable beyond a
finite, critical chemical potential difference. The spinon-holon mean field
theory for the t-J model shows a clear reduction of the the BCS gaps upon
increasing the chemical potential difference leading to a breakdown of
superconductivity. Based on a renormalization group approach and Abelian
bosonization, the doping dependent phase diagram for the weakly interacting
Hubbard model with different chemical potentials was determined.Comment: Revtex4, 11 pages, 7 figure