481 research outputs found
Theory of Impurity Effects on the Spin Nematic State
The effect of magnetic bond disorder in otherwise antiferro nematic ordered
system is investigated. We introduced triangular-shaped ferromagnetic bond
disorder in the S=1 bilinear-biquadratic model on a triangular lattice. It is
shown that the coupling between the impurity magnetic moment and nonmagnetic
excitation in the bulk yields single-moment anisotropy and long-range
anisotropic interaction between impurity magnetic moments. This interaction can
induce unconventional spin-freezing phenomena observed in triangular magnet,
NiGa2S4.Comment: 19 pages, 14 figure
Hidden Symmetries and their Consequences in Cubic Perovskites
The five-band Hubbard model for a band with one electron per site is a
model which has very interesting properties when the relevant ions are located
at sites with high (e. g. cubic) symmetry. In that case, if the crystal field
splitting is large one may consider excitations confined to the lowest
threefold degenerate orbital states. When the electron hopping matrix
element () is much smaller than the on-site Coulomb interaction energy
(), the Hubbard model can be mapped onto the well-known effective
Hamiltonian (at order ) derived by Kugel and Khomskii (KK). Recently
we have shown that the KK Hamiltonian does not support long range spin order at
any nonzero temperature due to several novel hidden symmetries that it
possesses. Here we extend our theory to show that these symmetries also apply
to the underlying three-band Hubbard model. Using these symmetries we develop a
rigorous Mermin-Wagner construction, which shows that the three-band Hubbard
model does not support spontaneous long-range spin order at any nonzero
temperature and at any order in -- despite the three-dimensional lattice
structure. Introduction of spin-orbit coupling does allow spin ordering, but
even then the excitation spectrum is gapless due to a subtle continuous
symmetry. Finally we showed that these hidden symmetries dramatically simplify
the numerical exact diagonalization studies of finite clusters.Comment: 26 pages, 3 figures, 520 KB, submitted Phys. Rev.
Dynamics of a Vortex in Two-Dimensional Superfluid He3-A: Force Caused by the l-Texture
Based on the Landau-Ginzburg Lagrangian, the dynamics of a vortex is studied
for superfluid He3-A characterized by the l-texture. The resultant equation of
motion for a vortex leads to the Magnus-type force caused by the l-texture. The
force is explicitly written in terms of the mapping degree from the
compactified 2-dimensional plane to the space of l-vector, which reflects the
quantitative differences of vortex configurations, especially the Mermin-Ho and
Anderson-Toulouse vortices. The formulation is applied to anisotropic
superconductors in which the Hall current is shown to incorporate changes
between vortex configurations.Comment: 4 pages, RevTex(twocolumn
Bose-Einstein condensation in trapped dipolar gases
We discuss Bose-Einstein condensation in a trapped gas of bosonic particles
interacting dominantly via dipole-dipole forces. We find that in this case the
mean-field interparticle interaction and, hence, the stability diagram are
governed by the trapping geometry. Possible physical realisations include
ultracold heteronuclear molecules, or atoms with laser induced electric dipole
moments.Comment: 4 pages, 4 figure
Quantum Hall Ferromagnets
It is pointed out recently that the quantum Hall states in bilayer
systems behave like easy plane quantum ferromagnets. We study the
magnetotransport of these systems using their ``ferromagnetic" properties and a
novel spin-charge relation of their excitations. The general transport is a
combination of the ususal Hall transport and a time dependent transport with
time average. The latter is due to a phase slippage process in
and is characterized by two topological constants. (Figures will be
provided upon requests).Comment: 4 pages, Revtex, Ohio State Universit
Absence of spontaneous magnetic order at non-zero temperature in one- and two-dimensional Heisenberg and XY systems with long-range interactions
The Mermin-Wagner theorem is strengthened so as to rule out magnetic
long-range order at T>0 in one- or two-dimensional Heisenberg and XY systems
with long-range interactions decreasing as R^{-alpha} with a sufficiently large
exponent alpha. For oscillatory interactions, ferromagnetic long-range order at
T>0 is ruled out if alpha >= 1 (D=1) or alpha > 5/2 (D=2). For systems with
monotonically decreasing interactions ferro- or antiferromagnetic long-range
order at T>0 is ruled out if alpha >= 2D.Comment: RevTeX, 4 pages. Further (p)reprints available from
http://www.mpi-halle.de/~theory ; v2: revised versio
Anisotropy in the helicity modulus of a quantum 3D XY-model: application to YBCO
We present a variational study of the helicity moduli of an anisotropic
quantum three-dimensional (3D) XY-model of YBCO in superconducting state. It is
found that both the ab-plane and the c-axis helicity moduli, which are
proportional to the inverse square of the corresponding magnetic field
penetration depth, vary with temperature T as T to the fourth power in the zero
temperature limit. Moreover, the c-axis helicity modulus drops with temperature
much faster than the ab-plane helicity modulus because of the weaker Josephson
couplings along the c-axis compared to those along the ab-plane. These findings
are in disagreement with the experiments on high quality samples of YBCO.Comment: 9 pages, 1 figur
How to simulate a quantum computer using negative probabilities
The concept of negative probabilities can be used to decompose the
interaction of two qubits mediated by a quantum controlled-NOT into three
operations that require only classical interactions (that is, local operations
and classical communication) between the qubits. For a single gate, the
probabilities of the three operations are 1, 1, and -1. This decomposition can
be applied in a probabilistic simulation of quantum computation by randomly
choosing one of the three operations for each gate and assigning a negative
statistical weight to the outcomes of sequences with an odd number of negative
probability operations. The exponential speed-up of a quantum computer can then
be evaluated in terms of the increase in the number of sequences needed to
simulate a single operation of the quantum circuit.Comment: 11 pages, including one figure and one table. Full paper version for
publication in Journal of Physics A. Clarifications of basic concepts and
discussions of possible implications have been adde
Annihilation of edge dislocations in smectic A liquid crystals
This paper presents a theoretical study of the annihilation of edge dislocations in the same smectic plane in a bulk smectic-A phase. We use a time-dependent Landau-Ginzburg approach where the smectic ordering is described by the complex order parameter psi( r--> ,t) =eta e(iphi) . This quantity allows both the degree of layering and the position of the layers to be monitored. We are able to follow both precollision and postcollision regimes, and distinguish different early and late behaviors within these regimes. The early precollision regime is driven by changes in the phi ( r--> ) configuration. The relative velocity of the defects is approximately inversely proportional to the interdefect separation distance. In the late precollision regime the symmetry changes within the cores of defects also become influential. Following the defect collision, in the early postcollision stage, bulk layer order is approached exponentially in time. At very late times, however, there seems to be a long-time power-law tail in the order parameter fluctuation relaxation
Calculation of a Deuterium Double Shock Hugoniot from Ab initio Simulations
We calculate the equation of state of dense deuterium with two ab initio
simulations techniques, path integral Monte Carlo and density functional theory
molecular dynamics, in the density range of 0.67 < rho < 1.60 g/cc. We derive
the double shock Hugoniot and compare with the recent laser-driven double shock
wave experiments by Mostovych et al. [1]. We find excellent agreement between
the two types of microscopic simulations but a significant discrepancy with the
laser-driven shock measurements.Comment: accept for publication in Phys. Rev. Lett., Nov. 2001, 4 pages, 4
figure
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