6 research outputs found
Plaquette Ordering in SU(4) Antiferromagnets
We use fermion mean field theory to study possible plaquette ordering in the
antiferromagnetic SU(4) Heisenberg model. We find the ground state for both the
square and triangular lattices to be the disconnected plaquette state. Our mean
field theory gives a first order transition for plaquette ordering for the
triangular lattice. Our results suggest a large number of low lying states.Comment: 16 pages, 5 figure
Scalar chiral ground states of spin ladders with four-spin exchanges
We show that scalar chiral order can be induced by four-spin exchanges in the
two-leg spin ladder, using the spin-chirality duality transformation and
matrix-product ansatz. Scalar-chiral-ordered states are found to be exact
ground states in a family of spin ladder models. In this scalar chiral phase,
there is a finite energy gap above the doubly degenerate ground states and a
symmetry is fully broken. It is also shown that the
SU(4)-symmetric model, which is self-dual under the duality transformation, is
on a multicritical point surrounded by the staggered dimer phase, the staggered
scalar chiral phase, and the gapless phase.Comment: 8 pages, 2 figures, to appear in Phys. Rev.
Metal-insulator transition in a doubly orbitally degenerate model with correlated hopping
In the present paper we propose a doubly orbitally degenerate narrow-band
model with correlated hopping. The peculiarity of the model is taking into
account the matrix element of electron-electron interaction which describes
intersite hoppings of electrons. In particular, this leads to the concentration
dependence of the effective hopping integral. The cases of the strong and weak
Hund's coupling are considered. By means of a generalized mean-field
approximation the single-particle Green function and quasiparticle energy
spectrum are calculated. Metal-insulator transition is studied in the model at
different integer values of the electron concentration. With the help of the
obtained energy spectrum we find energy gap width and criteria of
metal-insulator transition.Comment: minor revisions, published in Phys. Rev.
Ordering and Fluctuation of Orbital and Lattice Distortion in Perovskite Manganese Oxides
Roles of orbital and lattice degrees of freedom in strongly correlated
systems are investigated to understand electronic properties of perovskite Mn
oxides such as La_{1-x}Sr_{x}MnO_{3}. An extended double-exchange model
containing Coulomb interaction, doubly degenerate orbitals and Jahn-Teller
coupling is derived under full polarization of spins with two-dimensional
anisotropy. Quantum fluctuation effects of Coulomb interaction and orbital
degrees of freedom are investigated by using the quantum Monte Carlo method. In
undoped states, it is crucial to consider both the Coulomb interaction and the
Jahn-Teller coupling in reproducing characteristic hierarchy of energy scales
among charge, orbital-lattice and spin degrees of freedom in experiments. Our
numerical results quantitatively reproduce the charge gap amplitude as well as
the stabilization energy and the amplitude of the cooperative Jahn-Teller
distortion in undoped compounds. Upon doping of carriers, in the absence of the
Jahn-Teller distortion, critical enhancement of both charge compressibility and
orbital correlation length is found with decreasing doping concentration. These
are discussed as origins of strong incoherence in charge dynamics. With the
Jahn-Teller coupling in the doped region, collapse of the Jahn-Teller
distortion and instability to phase separation are obtained and favorably
compared with experiments. These provide a possible way to understand the
complicated properties of lightly doped manganites.Comment: 22 pages RevTeX including 25 PS figures, submitted to Phys.Rev.B,
replaced version; two figures are replaced by Fig.17 with minor changes in
the tex
Ab Initio study of magnetic interactions in the KCuF3 and K2CuF4 low-dimensional Systems
The ab initio cluster model approach has been used to study the electronic structure and magnetic coupling of KCuF3 and K2CuF4 in their various ordered polytype crystal forms. Due to a cooperative Jahn-Teller distortion these systems exhibit strong anisotropies. In particular, the magnetic properties strongly differ from those of isomorphic compounds. Hence, KCuF3 is a quasi-one-dimensional (1D) nearest neighbor Heisenberg antiferromagnet whereas K2CuF4 is the only ferromagnet among the K2MF4 series of compounds (M=Mn, Fe, Co, Ni, and Cu) behaving all as quasi-2D nearest neighbor Heisenberg systems. Different ab initio techniques are used to explore the magnetic coupling in these systems. All methods, including unrestricted Hartree-Fock, are able to explain the magnetic ordering. However, quantitative agreement with experiment is reached only when using a state-of-the-art configuration interaction approach. Finally, an analysis of the dependence of the magnetic coupling constant with respect to distortion parameters is presented