1,596 research outputs found
From Disordered Crystal to Glass: Exact Theory
We calculate thermodynamic properties of a disordered model insulator,
starting from the ideal simple-cubic lattice () and increasing the
disorder parameter to . As in earlier Einstein- and Debye-
approximations, there is a phase transition at . For the
low-T heat-capacity whereas for , . The van
Hove singularities disappear at {\em any finite }. For we discover
novel {\em fixed points} in the self-energy and spectral density of this model
glass.Comment: Submitted to Phys. Rev. Lett., 8 pages, 4 figure
Electric Control of Spin Currents and Spin-Wave Logic
Spin waves in insulating magnets are ideal carriers for spin currents with
low energy dissipation. An electric field can modify the dispersion of spin
waves, by directly affecting, via spin-orbit coupling, the electrons that
mediate the interaction between magnetic ions. Our microscopic calculations
based on the super-exchange model indicate that this effect of the electric
field is sufficiently large to be used to effectively control spin currents. We
apply these findings to the design of a spin-wave interferometric device, which
acts as a logic inverter and can be used as a building block for
room-temperature, low-dissipation logic circuits.Comment: 4 pages, 3 figures, added the LL equation and the discussion on
spin-wave-induced electric field, accepted by PR
Theory of optical spectral weights in Mott insulators with orbital degrees of freedom
Introducing partial sum rules for the optical multiplet transitions, we
outline a unified approach to magnetic and optical properties of strongly
correlated transition metal oxides. On the example of LaVO we demonstrate
how the temperature and polarization dependences of different components of the
optical multiplet are determined by the underlying spin and orbital
correlations dictated by the low-energy superexchange Hamiltonian. Thereby the
optical data provides deep insight into the complex spin-orbital physics and
the role played by orbital fluctuations.Comment: 6 pages, 3 figures, expanded versio
Inhomogeneous Nuclear Spin Flips
We discuss a feedback mechanism between electronic states in a double quantum
dot and the underlying nuclear spin bath. We analyze two pumping cycles for
which this feedback provides a force for the Overhauser fields of the two dots
to either equilibrate or diverge. Which of these effects is favored depends on
the g-factor and Overhauser coupling constant A of the material. The strength
of the effect increases with A/V_x, where V_x is the exchange matrix element,
and also increases as the external magnetic field B_{ext} decreases.Comment: 5 pages, 4 figures (jpg
Green's functions on finite lattices and their connection to the infinite lattice limit
It is shown that the Green's function on a finite lattice in arbitrary space
dimension can be obtained from that of an infinite lattice by means of
translation operator. Explicit examples are given for one- and two-dimensional
lattices
From Effective Lagrangians, to Chiral Bags, to Skyrmions with the Large-N_c Renormalization Group
We explicitly relate effective meson-baryon Lagrangian models, chiral bags,
and Skyrmions in the following way. First, effective Lagrangians are
constructed in a manner consistent with an underlying large-N_c QCD. An
infinite set of graphs dress the bare Yukawa couplings at *leading* order in
1/N_c, and are summed using semiclassical techniques. What emerges is a picture
of the large-N_c baryon reminiscent of the chiral bag: hedgehog pions for r >
1/\Lambda patched onto bare nucleon degrees of freedom for r < 1/\Lambda, where
the ``bag radius'' 1/\Lambda is the UV cutoff on the graphs. Next, a novel
renormalization group (RG) is derived, in which the bare Yukawa couplings,
baryon masses and hyperfine baryon mass splittings run with \Lambda. Finally,
this RG flow is shown to act as a *filter* on the renormalized Lagrangian
parameters: when they are fine-tuned to obey Skyrme-model relations the
continuum limit \Lambda --> \infty exists and is, in fact, a Skyrme model;
otherwise there is no continuum limit.Comment: Figures included (separate file). This ``replaced'' version corrects
the discussion of backwards-in-time baryon
Anomalous dynamics in two- and three- dimensional Heisenberg-Mattis spin glasses
We investigate the spectral and localization properties of unmagnetized
Heisenberg-Mattis spin glasses, in space dimensionalities and 3, at T=0.
We use numerical transfer-matrix methods combined with finite-size scaling to
calculate Lyapunov exponents, and eigenvalue-counting theorems, coupled with
Gaussian elimination algorithms, to evaluate densities of states. In we
find that all states are localized, with the localization length diverging as
, as energy . Logarithmic corrections to density of
states behave in accordance with theoretical predictions. In the
density-of-states dependence on energy is the same as for spin waves in pure
antiferromagnets, again in agreement with theoretical predictions, though the
corresponding amplitudes differ.Comment: RevTeX4, 9 pages, 9 .eps figure
Baryons with Many Colors and Flavors
Using recently-developed diagrammatic techniques, I derive some general
results concerning baryons in the expansion, where is the number of
QCD colors. I show that the spin-flavor relations which hold for baryons in the
large- limit, as well as the form of the corrections to these relations at
higher orders in , hold even if , where is the
number of light quark flavors. I also show that the amplitude for a baryon to
emit mesons is , and that meson loops attached to
baryon lines are unsupressed in the large- limit, independent of . For
, there are ambiguities in the extrapolation away from because
the baryon flavor multiplets for a given spin grow with . I argue that the
expansion is valid for baryons with spin and {\it arbitrary}
flavor quantum numbers, including e.g. baryons with isospin and/or strangeness
. This allows the formulation of a large- expansion in which it is not
necessary to identify the physical baryons with particular large- states.
symmetry can be made manifest to all orders in , yet group
theory factors must be evaluated explicitly only for . To
illustrate this expansion, I consider the non-singlet axial currents, baryon
mass splittings, and matrix elements of \mybar ss and \mybar s \gam_\mu
\gam_5 s in the nucleon.Comment: 19 pages, plain TeX, 4 uuencoded postscrip figures, LBL-35539,
NSF-ITP-94-4
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