226 research outputs found

### RVB signatures in the spin dynamics of the square-lattice Heisenberg antiferromagnet

We investigate the spin dynamics of the square-lattice spin-1/2 Heisenberg
antiferromagnet by means of an improved mean field Schwinger boson calculation.
By identifying both, the long range N\'eel and the RVB-like components of the
ground state, we propose an educated guess for the mean field triplet
excitation consisting on a linear combination of local and bond spin flips to
compute the dynamical structure factor. Our main result is that when this
triplet excitation is optimized in such a way that the corresponding sum rule
is fulfilled, we recover the low and high energy spectral weight features of
the experimental spectrum. In particular, the anomalous spectral weight
depletion at $(\pi,0)$ found in recent inelastic neutron scattering experiments
can be attributed to the interference of the triplet bond excitations of the
RVB component of the ground state. We conclude that the Schwinger boson theory
seems to be a good candidate to adequately interpret the dynamic properties of
the square-lattice Heisenberg antiferromagnet.Comment: 6 pages with 3 figure

### Broken discrete and continuous symmetries in two dimensional spiral antiferromagnets

We study the occurrence of symmetry breakings, at zero and finite
temperatures, in the J_1-J_3 antiferromagnetic Heisenberg model on the square
lattice using Schwinger boson mean field theory. For spin-1/2 the ground state
breaks always the SU(2) symmetry with a continuous quasi-critical transition at
J_3/J_1=0.38, from N\'eel to spiral long range order, although local spin
fluctuations considerations suggest an intermediate disordered regime around
0.35 < J_3/J_1 < 0.5, in qualitative agreement with recent numerical results.
At low temperatures we find a Z_2 broken symmetry region with short range
spiral order characterized by an Ising-like nematic order parameter that
compares qualitatively well with classical Monte Carlo results. At intermediate
temperatures the phase diagram shows regions with collinear short range orders:
for J_3/J_11 a novel phase
consisting of four decoupled third neighbour sublattices with N\'eel (\pi,\pi)
correlations in each one. We conclude that the effect of quantum and thermal
fluctuations is to favour collinear correlations even in the strongly
frustrated regime.Comment: 17 pages, accepted for publication in Journal of Physics: condensed
Matte

### Low temperature properties of the triangular-lattice antiferromagnet: a bosonic spinon theory

We study the low temperature properties of the triangular-lattice Heisenberg
antiferromagnet with a mean field Schwinger spin-1/2 boson scheme that
reproduces quantitatively the zero temperature energy spectrum derived
previously using series expansions. By analyzing the spin-spin and the boson
density-density dynamical structure factors, we identify the unphysical spin
excitations that come from the relaxation of the local constraint on bosons.
This allows us to reconstruct a free energy based on the physical excitations
only, whose predictions for entropy and uniform susceptibility seem to be
reliable within the temperature range $0< T <0.3J, which is difficult to access
by other methods. The high values of entropy, also found in high temperature
expansions studies, can be attributed to the roton-like narrowed dispersion at
finite temperatures.Comment: 16 pages, 5 figure

### Effects of semiclassical spiral fluctuations on hole dynamics

We investigate the dynamics of a single hole coupled to the spiral
fluctuations related to the magnetic ground states of the antiferromagnetic
J_1-J_2-J_3 Heisenberg model on a square lattice. Using exact diagonalization
on finite size clusters and the self consistent Born approximation in the
thermodynamic limit we find, as a general feature, a strong reduction of the
quasiparticle weight along the spiral phases of the magnetic phase diagram. For
an important region of the Brillouin Zone the hole spectral functions are
completely incoherent, whereas at low energies the spectral weight is
redistributed on several irregular peaks. We find a characteristic value of the
spiral pitch, Q=(0.7,0.7)\pi, for which the available phase space for hole
scattering is maximum. We argue that this behavior is due to the non trivial
interference of the magnon assisted and the free hopping mechanism for hole
motion, characteristic of a hole coupled to semiclassical spiral fluctuations.Comment: 6 pages, 5 figure

### Magnons and Excitation Continuum in XXZ triangular antiferromagnetic model: Application to $Ba_3CoSb_2O_9$

We investigate the excitation spectrum of the triangular-lattice
antiferromagnetic $XXZ$ model using series expansions and mean field Schwinger
bosons approaches. The single-magnon spectrum computed with series expansions
exhibits rotonic minima at the middle points of the edges of the Brillouin
zone, for all values of the anisotropy parameter in the range $0\leq
J^z/J\leq1$. Based on the good agreement with series expansions for the
single-magnon spectrum, we compute the full dynamical magnetic structure factor
within the mean field Schwinger boson approach to investigate the relevance of
the $XXZ$ model for the description of the unusual spectrum found recently in
$Ba_3CoSb_2O_9$. In particular, we obtain an extended continuum above the spin
wave excitations, which is further enhanced and brought closer to those
observed in $Ba_3CoSb_2O_9$ with the addition of a second neighbor exchange
interaction approximately 15% of the nearest-neighbor value. Our results
support the idea that excitation continuum with substantial spectral-weight are
generically present in two-dimensional frustrated spin systems and
fractionalization in terms of {\it bosonic} spinons presents an efficient way
to describe them.Comment: 8 pages, 4 figure

### Spin polaron in the J1-J2 Heisenberg model

We have studied the validity of the spin polaron picture in the frustrated
J1-J2 Heisenberg model. For this purpose, we have computed the hole spectral
functions for the Neel, collinear, and disordered phases of this model, by
means of the self-consistent Born approximation and Lanczos exact
diagonalization on finite-size clusters. We have found that the spin polaron
quasiparticle excitation is always well defined for the magnetically ordered
Neel and collinear phases, even in the vicinity of the magnetic quantum
critical points, where the local magnetization vanishes. As a general feature,
the effect of frustration is to increase the amplitude of the multimagnon
states that build up the spin polaron wave function, leading to the reduction
of the quasiparticle coherence. Based on Lanczos results, we discuss the
validity of the spin polaron picture in the disordered phase.Comment: 9 pages, 12 figure

### A test of the bosonic spinon theory for the triangular antiferromagnet spectrum

We compute the dynamical structure factor of the spin-1/2 triangular
Heisenberg model using the mean field Schwinger boson theory. We find that a
reconstructed dispersion, resulting from a non trivial redistribution of the
spectral weight, agrees quite well with the spin excitation spectrum recently
found with series expansions. In particular, we recover the strong
renormalization with respect to linear spin wave theory along with the
appearance of roton-like minima. Furthermore, near the roton-like minima the
contribution of the two spinon continuum to the static structure factor is
about 40 % of the total weight. By computing the density-density dynamical
structure factor, we identify an unphysical weak signal of the spin excitation
spectrum with the relaxation of the local constraint of the Schwinger bosons at
the mean field level. Based on the accurate description obtained for the static
and dynamic ground state properties, we argue that the bosonic spinon theory
should be considered seriously as a valid alternative to interpret the physics
of the triangular Heisenberg model.Comment: 6 pages, 5 figures, extended version including: a table with ground
state energy and magnetization; and the density-density dynamical structure
factor. Accepted for publication in Europhysics Letter

### Classical Antiferromagnetism in Kinetically Frustrated Electronic Models

We study the infinite U Hubbard model with one hole doped away half-filling,
in triangular and square lattices with frustrated hoppings that invalidate
Nagaoka's theorem, by means of the density matrix renormalization group. We
find that these kinetically frustrated models have antiferromagnetic ground
states with classical local magnetization in the thermodynamic limit. We
identify the mechanism of this kinetic antiferromagnetism with the release of
the kinetic energy frustration as the hole moves in the established
antiferromagnetic background. This release can occurs in two different ways: by
a non-trivial spin-Berry phase acquired by the hole or by the effective
vanishing of the hopping amplitude along the frustrating loops.Comment: 12 pages and 4 figures, with Supplementary Material. To be published
in Phys. Rev. Let

### Rotational invariance and order-parameter stiffness in frustrated quantum spin systems

We compute, within the Schwinger-boson scheme, the Gaussian-fluctuation
corrections to the order-parameter stiffness of two frustrated quantum spin
systems: the triangular-lattice Heisenberg antiferromagnet and the J1-J2 model
on the square lattice. For the triangular-lattice Heisenberg antiferromagnet we
found that the corrections weaken the stiffness, but the ground state of the
system remains ordered in the classical 120 spiral pattern. In the case of the
J1-J2 model, with increasing frustration the stiffness is reduced until it
vanishes, leaving a small window 0.53 < J2/J1 < 0.64 where the system has no
long-range magnetic order. In addition, we discuss several methodological
questions related to the Schwinger-boson approach. In particular, we show that
the consideration of finite clusters which require twisted boundary conditions
to fit the infinite-lattice magnetic order avoids the use of ad hoc factors to
correct the Schwinger-boson predictions.Comment: 9 pages, Latex, 6 figures as ps files, fig.1 changed and minor text
corrections, to appear in Phys.Rev.

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