248 research outputs found
Phase transition in a 2-dimensional Heisenberg model
We investigate the two-dimensional classical Heisenberg model with a
nonlinear nearest-neighbor interaction
V(s,s')=2K[(1+s.s')/2 ]^p.
The analogous nonlinear interaction for the XY model was introduced by
Domany, Schick, and Swendsen, who find that for large p the Kosterlitz-Thouless
transition is preempted by a first-order transition. Here we show that, whereas
the standard (p=1) Heisenberg model has no phase transition, for large enough p
a first-order transition appears. Both phases have only short range order, but
with a correlation length that jumps at the transition.Comment: 6 pages, 5 encapsulated postscript figures; to appear in Physical
Review Letter
Spin versus Lattice Polaron: Prediction for Electron-Doped CaMnO3
CaMnO3 is a simple bi-partite antiferromagnet(AF) which can be continuously
electron-doped up to LaMnO3. Electrons enter the doubly degenerate E_g subshell
with spins aligned to the S=3/2 core of Mn^4+ (T_2g^3)$. We take the Hubbard
and Hund energies to be effectively infinite. Our model Hamiltonian has two E_g
orbitals per Mn atom, nearest neighbor hopping, nearest neighbor exchange
coupling of the S=3/2 cores, and electron-phonon coupling of Mn orbitals to
adjacent oxygen atoms. We solve this model for light doping. Electrons are
confined in local ferromagnetic (FM) regions (spin polarons) where there
proceeds an interesting competition between spin polarization (spin polarons)
which enlarges the polaron, and lattice polarization (Jahn-Teller polarons)
which makes it smaller. A symmetric 7-atom ferromagnetic cluster (Mn_7^27+) is
the stable result, with net spin S=2 relative to the undoped AF. The distorted
oxygen positions around the electron are predicted. The model also predicts a
critical doping x_c=0.045 where the polaronic insulator becomes unstable
relative to a FM metal.Comment: 9 pages with 7 embedded postscript figures and 2 table
The 1/D Expansion for Classical Magnets: Low-Dimensional Models with Magnetic Field
The field-dependent magnetization m(H,T) of 1- and 2-dimensional classical
magnets described by the -component vector model is calculated analytically
in the whole range of temperature and magnetic fields with the help of the 1/D
expansion. In the 1-st order in 1/D the theory reproduces with a good accuracy
the temperature dependence of the zero-field susceptibility of antiferromagnets
\chi with the maximum at T \lsim |J_0|/D (J_0 is the Fourier component of the
exchange interaction) and describes for the first time the singular behavior of
\chi(H,T) at small temperatures and magnetic fields: \lim_{T\to 0}\lim_{H\to 0}
\chi(H,T)=1/(2|J_0|)(1-1/D) and \lim_{H\to 0}\lim_{T\to 0}
\chi(H,T)=1/(2|J_0|)
Thermodynamics of a mixed quantum-classical Heisenberg model in two dimensions
We study the planar antiferromagnetic Heisenberg model on a decorated
hexagonal lattice, involving both classical spins (occupying the vertices) and
quantum spins (occupying the middle of the links). This study is motivated by
the description of a recently synthesized molecular magnetic compound. First,
we trace out the spin 1/2 degrees of freedom to obtain a fully classical model
with an effective ferromagnetic interaction. Then, using high temperature
expansions and Monte Carlo simulations, we analyse its thermal and magnetic
properties. We show that it provides a good quantitative description of the
magnetic susceptibility of the molecular magnet in its paramagnetic phase.Comment: Revtex, 6 pages, 4 included postscript figures, fig.1 upon request to
[email protected] . To appear in J. of Physic C (condensed matter
Magnetic Order and Dynamics in an Orbitally Degenerate Ferromagnetic Insulator
Neutron scattering was used to determine the spin structure and the magnon
spectrum of the Mott--Hubbard insulator YTiO. The magnetic structure is
complex, comprising substantial G-type and A-type antiferromagnetic components
in addition to the predominant ferromagnetic component. The magnon spectrum, on
the other hand, is gapless and nearly isotropic. We show that these findings
are inconsistent with the orbitally ordered states thus far proposed for
YTiO and discuss general implications for a theoretical description of
exchange interactions in orbitally degenerate systems.Comment: to appear in Phys. Rev. Let
Double Exchange Alone Does Not Explain the Resistivity of
The system with has
traditionally been modelled with a ``double exchange'' Hamiltonian, in which it
is assumed that the only relevant physics is the tendency of carrier hopping to
line up neighboring spins. We present a solution of the double exchange model,
show it is incompatible with many aspects of the resistivity data, and propose
that a strong electron-phonon interaction arising from a Jahn-Teller splitting
of the outer Mn d-level plays a crucial role.Comment: Figure available via concentional mail. Contact
[email protected]
The Double-Time Green's Function Approach to the Two-Dimensional Heisenberg Antiferromagnet with Broken Bonds
We improved the decoupling approximation of the double-time Green's function
theory, and applied it to study the spin- two-dimensional
antiferromagnetic Heisenberg model with broken bonds at finite temperature. Our
decoupling approximation is applicable to the spin systems with spatial
inhomogeneity, introduced by the local defects, over the whole temperature
region. At low temperatures, we observed that the quantum fluctuation is
reduced in the neighborhood of broken bond, which is in agreement with previous
theoretical expectations. At high temperatures our results showed that the
quantum fluctuation close to the broken bond is enhanced. For the two parallel
broken bonds cases, we found that there exists a repulsive interaction between
the two parallel broken bonds at low temperatures.Comment: Revtex, 6 pages, 5 Postscript figures (include
Criticality in strongly correlated fluids
In this brief review I will discuss criticality in strongly correlated
fluids. Unlike simple fluids, molecules of which interact through short ranged
isotropic potential, particles of strongly correlated fluids usually interact
through long ranged forces of Coulomb or dipolar form. While for simple fluids
mechanism of phase separation into liquid and gas was elucidated by van der
Waals more than a century ago, the universality class of strongly correlated
fluids, or in some cases even existence of liquid-gas phase separation remains
uncertain.Comment: Proceedings of Scaling Concepts and Complex Systems, Merida, Mexic
Effective Field Theory for Layered Quantum Antiferromagnets with Non-Magnetic Impurities
We propose an effective two-dimensional quantum non-linear sigma model
combined with classical percolation theory to study the magnetic properties of
site diluted layered quantum antiferromagnets like
LaCuMO (MZn, Mg). We calculate the staggered
magnetization at zero temperature, , the magnetic correlation length,
, the NMR relaxation rate, , and the N\'eel temperature,
, in the renormalized classical regime. Due to quantum fluctuations we
find a quantum critical point (QCP) at at lower doping than
the two-dimensional percolation threshold . We compare our
results with the available experimental data.Comment: Final version accepted for publication as a Rapid Communication on
Physical Review B. A new discussion on the effect of disorder in layered
quantum antiferromagnets is include
The phase diagram of quantum systems: Heisenberg antiferromagnets
A novel approach for studying phase transitions in systems with quantum
degrees of freedom is discussed. Starting from the microscopic hamiltonian of a
quantum model, we first derive a set of exact differential equations for the
free energy and the correlation functions describing the effects of
fluctuations on the thermodynamics of the system. These equations reproduce the
full renormalization group structure in the neighborhood of a critical point
keeping, at the same time, full information on the non universal properties of
the model. As a concrete application we investigate the phase diagram of a
Heisenberg antiferromagnet in a staggered external magnetic field. At long
wavelengths the known relationship to the Quantum Non Linear Sigma Model
naturally emerges from our approach. By representing the two point function in
an approximate analytical form, we obtain a closed partial differential
equation which is then solved numerically. The results in three dimensions are
in good agreement with available Quantum Monte Carlo simulations and series
expansions. More refined approximations to the general framework presented here
and few applications to other models are briefly discussed.Comment: 17 pages, 7 figure
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