6,483 research outputs found
The Grassmannian Sigma Model in SU(2) Yang-Mills Theory
Spin-charge separation in pure SU(2) Yang-Mills theory was recently found to
involve the dynamics of an O(3) non-linear sigma model and, seemingly, a
Grassmannian non-linear sigma model. In this article we explicitly construct
the Grassmannian sigma model of the form appearing in the the spin-charge
separated SU(2) theory through a quaternionic decomposition of the manifold,
thus verifying its relevance in this context. The coupling between this model
and the O(3) non-linear sigma model is further commented upon.Comment: 11 pages, undergraduate research project; version published in J.
Phys.
Anomalous tunneling conductances of a spin singlet \nu=2/3 edge states: Interplay of Zeeman splitting and Long Range Coulomb Interaction
The point contact tunneling conductance between edges of the spin singlet
quantum Hall states is studied both in the
quasiparticle tunneling picture and in the electron tunneling picture. Due to
the interplay of Zeeman splitting and the long range Coulomb interaction
between edges of opposite chirality novel spin excitations emerge, and their
effect is characterized by anomalous exponents of the charge and spin tunneling
conductances in various temperature ranges. Depending on the kinds of
scatterings at the point contact and the tunneling mechanism the anomalous
interaction in spin sector may enhance or suppress the tunneling conductances.
The effects of novel spin excitation are also relevant to the recent NMR
experiments on quantum Hall edges.Comment: Revtex File, 7 pages: To be published in Physical Reviews
Yang-Mills instanton as a quantum black hole
In terms of spin-charge separated variables, the Minkowski space Yang-Mills
BPST instanton describes a locally conformally flat doubly-wrapped cigar
manifold that can be viewed as a Euclidean quantum black hole. An ensemble of
instantons then corresponds to a ``spacetime foam'' that creates a locally
conformally flat spacetime from ``nothing'' as a quantum fluctuation.Comment: 11 pages, revise
Quantum Orders and Symmetric Spin Liquids
A concept -- quantum order -- is introduced to describe a new kind of orders
that generally appear in quantum states at zero temperature. Quantum orders
that characterize universality classes of quantum states (described by {\em
complex} ground state wave-functions) is much richer then classical orders that
characterize universality classes of finite temperature classical states
(described by {\em positive} probability distribution functions). The Landau's
theory for orders and phase transitions does not apply to quantum orders since
they cannot be described by broken symmetries and the associated order
parameters. We find projective representations of symmetry groups (which will
be called projective symmetry groups) can be used to characterize quantum
orders. With the help of quantum orders and the projective symmetry groups, we
construct hundreds of symmetric spin liquids, which have SU(2), U(1) or
gauge structures at low energies. Remarkably, some of the stable quantum phases
support gapless excitations even without any spontaneous symmetry breaking. We
propose that it is the quantum orders (instead of symmetries) that protect the
gapless excitations and make algebraic spin liquids and Fermi spin liquids
stable. Since high superconductors are likely to be described by a
gapless spin liquid, the quantum orders and their projective symmetry group
descriptions lay the foundation for spin liquid approach to high
superconductors.Comment: 58 pages, RevTeX4 home page: http://dao.mit.edu/~we
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
Theory of Quasi-Particles in the Underdoped High Tc Superconducting State
The microscopic theory of superconducting (SC) state in the SU(2) slave-boson
model is developed. We show how the pseudogap and Fermi surface (FS) segments
in the normal state develop into a d-wave gap in the superconducting state.
Even though the superfluid density is of order x (the doping concentration),
the physical properties of the low lying quasiparticles are found to resemble
those in BCS theory. Thus the microscopic theory lay the foundation for our
earlier phenomenological discussion of the unusual SC properties in the
underdoped cuprates.Comment: 4 pages in RevTeX, 1 figure in eps, revised versio
Signature of the staggered flux state around a superconducting vortex in underdoped cuprates
Based on the SU(2) lattice gauge theory formulation of the t-J model, we
discuss possible signature of the unit cell doubling associated with the
staggered flux (SF) state in the lightly doped spin liquid. Although the SF
state appears only dynamically in a uniform d-wave superconducting (SC) state,
a topological defect [SU(2) vortex] freezes the SF state inside the vortex
core. Consequently, the unit cell doubling shows up in the hopping
() and pairing () order parameters of physical
electrons. 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
and becomes predominant. We predict that over the
region outside the core and inside the internal gauge field penetration depth
around a vortex center, the local density-of-states (LDOS) exhibits staggered
peak-dip (SPD) structure inside the V-shaped profile when measured on the
bonds. The SPD structure has its direct origin in the unit cell doubling
associated with the SF core and the robust topological texture, which has
little to do with the symmetry of the d-wave order parameter. Therefore the
structure may survive the tunneling matrix element effects and easily be
detected by STM experiment.Comment: 27 pages, 14 figures in GIF format, typo correcte
Anomalous Exponent of the Spin Correlation Function of a Quantum Hall Edge
The charge and spin correlation functions of partially spin-polarized edge
electrons of a quantum Hall bar are studied using effective Hamiltonian and
bosonization techniques. In the presence of the Coulomb interaction between the
edges with opposite chirality we find a different crossover behavior in spin
and charge correlation functions. The crossover of the spin correlation
function in the Coulomb dominated regime is characterized by an anomalous
exponent, which originates from the finite value of the effective interaction
for the spin degree of freedom in the long wavelength limit. The anomalous
exponent may be determined by measuring nuclear spin relaxation rates in a
narrow quantum Hall bar or in a quantum wire in strong magnetic fields.Comment: 4 pages, Revtex file, no figures. To appear in Physical Revews B,
Rapid communication
Incompressible Quantum Liquids and New Conservation Laws
In this letter we investigate a class of Hamiltonians which, in addition to
the usual center-of-mass (CM) momentum conservation, also have center-of-mass
position conservation. We find that regardless of the particle statistics, the
energy spectrum is at least q-fold degenerate when the filling factor is ,
where and are coprime integers. Interestingly the simplest Hamiltonian
respecting this type of symmetry encapsulates two prominent examples of novel
states of matter, namely the fractional quantum Hall liquid and the quantum
dimer liquid. We discuss the relevance of this class of Hamiltonian to the
search for featureless Mott insulators.Comment: updated version, to be published by PR
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
- …