6 research outputs found
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
Antiferromagnetic Heisenberg model on anisotropic triangular lattice in the presence of magnetic field
We use Schwinger boson mean field theory to study the antiferromagnetic
spin-1/2 Heisenberg model on an anisotropic triangular lattice in the presence
of a uniform external magnetic field. We calculate the field dependence of the
spin incommensurability in the ordered spin spiral phase, and compare the
results to the recent experiments in CsCuCl by Coldea et al. (Phys.
Rev. Lett. 86, 1335 (2001)).Comment: 4 pages with 4 figures include
Phase diagram for a class of spin-half Heisenberg models interpolating between the square-lattice, the triangular-lattice and the linear chain limits
We study the spin-half Heisenberg models on an anisotropic two-dimensional
lattice which interpolates between the square-lattice at one end, a set of
decoupled spin-chains on the other end, and the triangular-lattice Heisenberg
model in between. By series expansions around two different dimer ground states
and around various commensurate and incommensurate magnetically ordered states,
we establish the phase diagram for this model of a frustrated antiferromagnet.
We find a particularly rich phase diagram due to the interplay of magnetic
frustration, quantum fluctuations and varying dimensionality. There is a large
region of the usual 2-sublattice Ne\'el phase, a 3-sublattice phase for the
triangular-lattice model, a region of incommensurate magnetic order around the
triangular-lattice model, and regions in parameter space where there is no
magnetic order. We find that the incommensurate ordering wavevector is in
general altered from its classical value by quantum fluctuations. The regime of
weakly coupled chains is particularly interesting and appears to be nearly
critical.Comment: RevTeX, 15 figure
Magnetic order in spin-1 and spin-3/2 interpolating square-triangle Heisenberg antiferromagnets
Using the coupled cluster method we investigate spin- -
Heisenberg antiferromagnets (HAFs) on an infinite, anisotropic, triangular
lattice when the spin quantum number or . With respect to a
square-lattice geometry the model has antiferromagnetic () bonds
between nearest neighbours and competing () bonds between
next-nearest neighbours across only one of the diagonals of each square
plaquette, the same one in each square. In a topologically equivalent
triangular-lattice geometry, we have two types of nearest-neighbour bonds:
namely the bonds along parallel chains and the
bonds producing an interchain coupling. The model thus interpolates
between an isotropic HAF on the square lattice at and a set of
decoupled chains at , with the isotropic HAF on the
triangular lattice in between at . For both the and the
models we find a second-order quantum phase transition at
and respectively,
between a N\'{e}el antiferromagnetic state and a helical state. In both cases
the ground-state energy and its first derivative are
continuous at , while the order parameter for the transition
(viz., the average on-site magnetization) does not go to zero on either side of
the transition. The transition at for both the and
cases is analogous to that observed in our previous work for the
case at a value . However, for the higher
spin values the transition is of continuous (second-order) type, as in the
classical case, whereas for the case it appears to be weakly
first-order in nature (although a second-order transition could not be
excluded).Comment: 17 pages, 8 figues (Figs. 2-7 have subfigs. (a)-(d)