2,499 research outputs found
On the evaluation of matrix elements in partially projected wave functions
We generalize the Gutzwiller approximation scheme to the calculation of
nontrivial matrix elements between the ground state and excited states. In our
scheme, the normalization of the Gutzwiller wave function relative to a
partially projected wave function with a single non projected site (the
reservoir site) plays a key role. For the Gutzwiller projected Fermi sea, we
evaluate the relative normalization both analytically and by variational
Monte-Carlo (VMC). We also report VMC results for projected superconducting
states that show novel oscillations in the hole density near the reservoir
site
Spontaneous breaking of the Fermi surface symmetry in the t-J model: a numerical study
We present a variational Monte Carlo (VMC) study of spontaneous Fermi surface
symmetry breaking in the t-J model. We find that the variational energy of a
Gutzwiller projected Fermi sea is lowered by allowing for a finite asymmetry
between the x- and the y-directions. However, the best variational state
remains a pure superconducting state with d-wave symmetry, as long as the
underlying lattice is isotropic. Our VMC results are in good overall agreement
with slave boson mean field theory (SBMFT) and renormalized mean field theory
(RMFT), although apparent discrepancies do show up in the half-filled limit,
revealing some limitations of mean field theories. VMC and complementary RMFT
calculations also confirm the SBMFT predictions that many-body interactions can
enhance any anisotropy in the underlying crystal lattice. Thus, our results may
be of consequence for the description of strongly correlated superconductors
with an anisotropic lattice structure.Comment: 6 pages, 7 figures; final versio
Bosonic resonating valence bond wave function for doped Mott insulators
We propose a new class of ground states for doped Mott insulators in the
electron second-quantization representation. They are obtained from a bosonic
resonating valence bond (RVB) theory of the t-J model. At half filling, the
ground state describes spin correlations of the S=1/2 Heisenberg model very
accurately. Its spin degrees of freedom are characterized by RVB pairing of
spins, the size of which decreases continuously as holes are doped into the
system. Charge degrees of freedom emerge upon doping and are described by
twisted holes in the RVB background. We show that the twisted holes exhibit an
off diagonal long range order (ODLRO) in the pseudogap ground state, which has
a finite pairing amplitude, but is short of phase coherence. Unpaired spins in
such a pseudogap ground state behave as free vortices, preventing
superconducting phase coherence. The existence of nodal quasiparticles is also
ensured by such a hidden ODLRO in the ground state, which is
non-Fermi-liquid-like in the absence of superconducting phase coherence. Two
distinct types of spin excitations can also be constructed. The superconducting
instability of the pseudogap ground state is discussed and a d-wave
superconducting ground state is obtained. This class of pseudogap and
superconducting ground states unifies antiferromagnetism, pseudogap,
superconductivity, and Mott physics into a new state of matter.Comment: 28 pages, 5 figures, final version to appear in Phys. Rev.
Attractor Metadynamics in Adapting Neural Networks
Slow adaption processes, like synaptic and intrinsic plasticity, abound in
the brain and shape the landscape for the neural dynamics occurring on
substantially faster timescales. At any given time the network is characterized
by a set of internal parameters, which are adapting continuously, albeit
slowly. This set of parameters defines the number and the location of the
respective adiabatic attractors. The slow evolution of network parameters hence
induces an evolving attractor landscape, a process which we term attractor
metadynamics. We study the nature of the metadynamics of the attractor
landscape for several continuous-time autonomous model networks. We find both
first- and second-order changes in the location of adiabatic attractors and
argue that the study of the continuously evolving attractor landscape
constitutes a powerful tool for understanding the overall development of the
neural dynamics
Modeling the electronic behavior of -LiV2O5: a microscopic study
We determine the electronic structure of the one-dimensional spin-1/2
Heisenberg compound -LiVO, which has two inequivalent vanadium
ions, V(1) and V(2), via density-functional calculations. We find a relative
V(1)-V(2) charge ordering of roughly . We discuss the influence of the
charge ordering on the electronic structure and the magnetic behavior. We give
estimates of the basic hopping matrix elements and compare with the most
studied -NaVO.Comment: Final version. To appear in Phys. Rev. Let
Determining the underlying Fermi surface of strongly correlated superconductors
The notion of a Fermi surface (FS) is one of the most ingenious concepts
developed by solid state physicists during the past century. It plays a central
role in our understanding of interacting electron systems. Extraordinary
efforts have been undertaken, both by experiment and by theory, to reveal the
FS of the high temperature superconductors (HTSC), the most prominent strongly
correlated superconductors. Here, we discuss some of the prevalent methods used
to determine the FS and show that they lead generally to erroneous results
close to half filling and at low temperatures, due to the large superconducting
gap (pseudogap) below (above) the superconducting transition temperature. Our
findings provide a perspective on the interplay between strong correlations and
superconductivity and highlight the importance of strong coupling theories for
the characterization as well as the determination of the underlying FS in ARPES
experiments
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