218 research outputs found
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
Pressure dependence of the melting mechanism at the limit of overheating in Lennard-Jones crystals
We study the pressure dependence of the melting mechanism of a surface free
Lennard-Jones crystal by constant pressure Monte Carlo simulation. The
difference between the overheating temperature() and the
thermodynamical melting point() increase for increasing pressure. When
particles move into the repulsive part of the potential the properties at
change. There is a crossover pressure where the volume jump becomes
pressure-independent. The overheating limit is pre-announced by thermal
excitation of big clusters of defects. The temperature zone where the system is
dominated by these big clusters of defects increases with increasing pressure.
Beyond the crossover pressure we find that excitation of defects and clusters
of them start at the same temperature scale related with .Comment: 6 pages, 5 figures. Accepted for publication in Physical Review
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
Schwinger-boson approach to quantum spin systems: Gaussian fluctuactions in the "natural" gauge
We compute the Gaussian-fluctuation corrections to the saddle-point
Schwinger-boson results using collective coordinate methods. Concrete
application to investigate the frustrated J1-J2 antiferromagnet on the square
lattice shows that, unlike the saddle-point predictions, there is a quantum
nonmagnetic phase for 0.53 < J2/J1 < 0.64. This result is obtained by
considering the corrections to the spin stiffness on large lattices and
extrapolating to the thermodynamic limit, which avoids the infinite-lattice
infrared divergencies associated to Bose condensation. The very good agreement
of our results with exact numerical values on finite clusters lends support to
the calculational scheme employed.Comment: 4 pages, Latex, 3 figures included as eps files,minor correction
Interplay between spatial anisotropy and further exchange interactions in the triangular Heisenberg model
We investigate the interplay between spatial anisotropy and further exchange
interactions in the spin- Heisenberg antiferromagnetic model on a
triangular lattice. We use the Schwinger boson theory by including Gaussian
fluctuations above the mean-field approach. The phase diagram exhibits a strong
reduction of the long range collinear and incommensurate spirals regions with
respect to the mean-field ones. This reduction is accompanied by the emergence
of its short range order counterparts, leaving an ample room for -flux and
nematic spin liquid regions. Remarkably, within the neighborhood of the
spatially isotropic line, there is a range where the spirals are so fragile
that only the commensurate N\'eel ones survive. The good
agreement with recent variational Monte Carlo predictions gives support to the
rich phase diagram induced by spatial anisotropy.Comment: 8 pages, 8 figure
organic crystals: superconducting versus antiferromagnetic instabilities in an anisotropic triangular lattice Hubbard model
A Hubbard model at half-filling on an anisotropic triangular lattice has been
proposed as the minimal model to describe conducting layers of
organic materials. The model interpolates between the
square lattice and decoupled chains. The materials
present many similarities with cuprates, such as the presence of unconventional
metallic properties and the close proximity of superconducting and
antiferromagnetic phases. As in the cuprates, spin fluctuations are expected to
play a crucial role in the onset of superconductivity. We perform a
weak-coupling renormalization-group analysis to show that a superconducting
instability occurs. Frustration in the antiferromagnetic couplings, which
arises from the underlying geometrical arrangement of the lattice, breaks the
perfect nesting of the square lattice at half-filling. The spin-wave
instability is suppressed and a superconducting instability predominates. For
the isotropic triangular lattice, there are again signs of long-range magnetic
order, in agreement with studies at strong-coupling.Comment: 4 pages, 5 eps figs, to appear in Can. J. Phys. (proceedings of the
Highly Frustrated Magnetism (HFM-2000) conference, Waterloo, Canada, June
2000
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