149 research outputs found
Superconductivity in CoO Layers and the Resonating Valence Bond Mean Field Theory of the Triangular Lattice t-J model
Motivated by the recent discovery of superconductivity in two dimensional
CoO layers, we present some possibly useful results of the RVB mean field
theory applied to the triangular lattice. Away from half filling, the order
parameter is found to be complex, and yields a fully gapped quasiparticle
spectrum. The sign of the hopping plays a crucial role in the analysis, and we
find that superconductivity is as fragile for one sign as it is robust for the
other. NaCoOHO is argued to belong to the robust case, by
comparing the LDA Fermi surface with an effective tight binding model. The high
frequency Hall constant in this system is potentially interesting, since it is
pointed out to increase linearly with temperature without saturation for T
T.Comment: Published in Physical Review B, total 1 tex + 9 eps files. Erratum
added as separate tex file on November 7, 2003, a numerical factor corrected
in the erratum on Dec 3, 200
Absence of hole pairing in a simple t-J model on the Shastry-Sutherland lattice
The Shastry-Sutherland model is a two-dimensional frustrated spin model whose
ground state is a spin gap state. We study this model doped with one and two
holes on a 32-site lattice using exact diagonalization. When t'>0, we find that
the diagonal dimer order that exists at half-filling are retained at these
moderate doping levels. No other order is found to be favored on doping. The
holes are strongly repulsive unless the hopping terms are unrealistically
small. Therefore, the existence of a spin gap at half-filling does not
guarantee hole-pairing in the present case
Solution of a two-leg spin ladder system
A model for a spin-1/2 ladder system with two legs is introduced. It is demonstrated that this model is solvable via the Bethe ansatz method for arbitrary values of the rung coupling J. This is achieved by a suitable mapping from the Hubbard model with appropriate twisted boundary conditions. We determine that a phase transition between gapped and gapless spin excitations occurs at the critical value J(c) = 1/2 of the rung coupling
Exact Solution of a One-Dimensional Multicomponent Lattice Gas with Hyperbolic Interaction
We present the exact solution to a one-dimensional multicomponent quantum
lattice model interacting by an exchange operator which falls off as the
inverse-sinh-square of the distance. This interaction contains a variable range
as a parameter, and can thus interpolate between the known solutions for the
nearest-neighbor chain, and the inverse-square chain. The energy,
susceptibility, charge stiffness and the dispersion relations for low-lying
excitations are explicitly calculated for the absolute ground state, as a
function of both the range of the interaction and the number of species of
fermions.Comment: 13 REVTeX pages + 5 uuencoded figures, UoU-003059
A lecture on the Calogero-Sutherland models
In these lectures, I review some recent results on the Calogero-Sutherland
model and the Haldane Shastry-chain. The list of topics I cover are the
following: 1) The Calogero-Sutherland Hamiltonian and fractional statistics.
The form factor of the density operator. 2) The Dunkl operators and their
relations with monodromy matrices, Yangians and affine-Hecke algebras. 3) The
Haldane-Shastry chain in connection with the Calogero-Sutherland Hamiltonian at
a specific coupling constant.Comment: (2 references added, small modifications
Coordinate Representation of the Two-Spinon wavefunction and Spinon Interaction
By deriving and studying the coordinate representation for the two-spinon
wavefunction, we show that spinon excitations in the Haldane-Shastry model
interact. The interaction is given by a short-range attraction and causes a
resonant enhancement in the two-spinon wavefunction at short separations
between the spinons. We express the spin susceptibility for a finite lattice in
terms of the resonant enhancement, given by the two-spinon wavefunction at zero
separation. In the thermodynamic limit, the spinon attraction turns into the
square-root divergence in the dynamical spin susceptibility.Comment: 19 pages, 5 .eps figure
Coordinate Representation of the One-Spinon One-Holon Wavefunction and Spinon-Holon Interaction
By deriving and studying the coordinate representation for the one-spinon
one-holon wavefunction we show that spinons and holons in the supersymmetric model with interaction attract each other. The interaction causes
a probability enhancement in the one-spinon one-holon wavefunction at short
separation between the particles. We express the hole spectral function for a
finite lattice in terms of the probability enhancement, given by the one-spinon
one-holon wavefunction at zero separation. In the thermodynamic limit, the
spinon-holon attraction turns into the square-root divergence in the hole
spectral function.Comment: 20 pages, 3 .eps figure
Motion of Bound Domain Walls in a Spin Ladder
The elementary excitation spectrum of the spin-
antiferromagnetic (AFM) Heisenberg chain is described in terms of a pair of
freely propagating spinons. In the case of the Ising-like Heisenberg
Hamiltonian spinons can be interpreted as domain walls (DWs) separating
degenerate ground states. In dimension , the issue of spinons as
elementary excitations is still unsettled. In this paper, we study two
spin- AFM ladder models in which the individual chains are
described by the Ising-like Heisenberg Hamiltonian. The rung exchange
interactions are assumed to be pure Ising-type in one case and Ising-like
Heisenberg in the other. Using the low-energy effective Hamiltonian approach in
a perturbative formulation, we show that the spinons are coupled in bound
pairs. In the first model, the bound pairs are delocalized due to a four-spin
ring exchange term in the effective Hamiltonian. The appropriate dynamic
structure factor is calculated and the associated lineshape is found to be
almost symmetric in contrast to the 1d case. In the case of the second model,
the bound pair of spinons lowers its kinetic energy by propagating between
chains. The results obtained are consistent with recent theoretical studies and
experimental observations on ladder-like materials.Comment: 12 pages, 7 figure
Exact ground state and kink-like excitations of a two dimensional Heisenberg antiferromagnet
A rare example of a two dimensional Heisenberg model with an exact dimerized
ground state is presented. This model, which can be regarded as a variation on
the kagome lattice, has several features of interest: it has a highly (but not
macroscopically) degenerate ground state; it is closely related to spin chains
studied by earlier authors; in particular, it is probably the first genuinely
two-dimensional quantum system to exhibit domain-wall-like ``kink'' excitations
normally found only in one-dimensional systems. In some limits it decouples
into non-interacting chains, purely dynamically and not because of weakening of
interchain couplings: indeed, paradoxically, this happens in the limit of
strong coupling of the chains.Comment: 4 pages, revtex, 5 figures included via epsfi
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