35 research outputs found
Alternative formalism to the slave particle mean field theory of the t-J model without deconfinement
An alternative formalism that does not require the assumption of the
deconfinement phase of a U(1) gauge field is proposed for the slave particle
mean field theory. Starting form the spin-fermion model, a spinon field, which
is either fermion or boson, is introduced to represent the localized spin
moment. We find a d-wave superconductive state in the mean field theory in the
case of the fermion representation of the localized spin moment that
corresponds to the slave boson mean field theory of the t-J model, whereas the
d-wave superconductive state is absent in case of the Schwinger boson
representation of the localized spin moments.Comment: 8 page
Staggered local density-of-states around the vortex in underdoped cuprates
We have studied a single vortex with the staggered flux (SF) core based on
the SU(2) slave-boson theory of high superconductors. We find that
whereas the center in the vortex core is a SF state, as one moves away from the
core center, a correlated staggered modulation of the hopping amplitude
and pairing amplitude becomes predominant. We predict that in this
region, the local density-of-states (LDOS) exhibits staggered modulation when
measured on the bonds, which may be directly detected by STM experiments.Comment: 4 pages, 3 figure
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
Massless Dirac Fermions, Gauge Fields, and Underdoped Cuprates
We study 2+1 dimensional massless Dirac fermions and bosons coupled to a U(1)
gauge field as a model for underdoped cuprates. We find that the uniform
susceptibility and the specific heat coefficient are logarithmically enhanced
(compared to linear-in-T behavior) due to the fluctuation of transverse gauge
field which is the only massless mode at finite boson density. We analyze
existing data, and find good agreement in the spin gap phase. Within our
picture, the drop of the susceptibility below the superconducting T_c arises
from the suppression of gauge fluctuations.Comment: 4 pages, REVTEX, 1 eps figur
The edge state network model and the global phase diagram
The effects of randomness are investigated in the fractional quantum Hall
systems. Based on the Chern-Simons Ginzburg-Landou theory and considering
relevant quasi-particle tunneling, the edge state network model for the
hierarchical state is introduced and the plateau-plateau transition and
liquid-insulator transition are discussed. This model has duality which
corresponds to the relation of the quantum Hall liquid phase and the Hall
insulating phase and reveals a mechanism in the weak coupling regime.Comment: 5 page RevTe
Weak magnetism and non-Fermi liquids near heavy-fermion critical points
This paper is concerned with the weak-moment magnetism in heavy-fermion
materials and its relation to the non-Fermi liquid physics observed near the
transition to the Fermi liquid. We explore the hypothesis that the primary
fluctuations responsible for the non-Fermi liquid physics are those associated
with the destruction of the large Fermi surface of the Fermi liquid. Magnetism
is suggested to be a low-energy instability of the resulting small Fermi
surface state. A concrete realization of this picture is provided by a
fractionalized Fermi liquid state which has a small Fermi surface of conduction
electrons, but also has other exotic excitations with interactions described by
a gauge theory in its deconfined phase. Of particular interest is a
three-dimensional fractionalized Fermi liquid with a spinon Fermi surface and a
U(1) gauge structure. A direct second-order transition from this state to the
conventional Fermi liquid is possible and involves a jump in the electron Fermi
surface volume. The critical point displays non-Fermi liquid behavior. A
magnetic phase may develop from a spin density wave instability of the spinon
Fermi surface. This exotic magnetic metal may have a weak ordered moment
although the local moments do not participate in the Fermi surface.
Experimental signatures of this phase and implications for heavy-fermion
systems are discussed.Comment: 20 pages, 8 figures; (v2) includes expanded discussion and solution
of quantum Boltzmann equatio
Vortex state in a doped Mott insulator
We analyze the recent vortex core spectroscopy experiments in cuprate
superconductor and discuss what can be learned from them about the nature of
the ground state in these compounds. We argue that the data are inconsistent
with the assumption of a simple metallic ground state and exhibit
characteristics of a doped Mott insulator. A theory for a vortex core in such a
doped Mott insulator is developed based on the U(1) gauge field slave boson
model and is shown to exhibit properties qualitatively consistent with the
experimental data.Comment: 11 pages REVTeX, 3 ps figures; version to appear in PR