229 research outputs found
GAPS IN THE HEISENBERG-ISING MODEL
We report on the closing of gaps in the ground state of the critical
Heisenberg-Ising chain at momentum . For half-filling, the gap closes at
special values of the anisotropy , integer. We explain
this behavior with the help of the Bethe Ansatz and show that the gap scales as
a power of the system size with variable exponent depending on . We use
a finite-size analysis to calculate this exponent in the critical region,
supplemented by perturbation theory at . For rational
fillings, the gap is shown to be closed for {\em all} values of and
the corresponding perturbation expansion in shows a remarkable
cancellation of various diagrams.Comment: 12 RevTeX pages + 4 figures upon reques
Spectral signature of short attosecond pulse trains
We report experimental measurements of high-order harmonic spectra generated
in Ar using a carrier-envelope-offset (CEO) stabilized 12 fs, 800nm laser field
and a fraction (less than 10%) of its second harmonic. Additional spectral
peaks are observed between the harmonic peaks, which are due to interferences
between multiple pulses in the train. The position of these peaks varies with
the CEO and their number is directly related to the number of pulses in the
train. An analytical model, as well as numerical simulations, support our
interpretation
Excited states in the twisted XXZ spin chain
We compute the finite size spectrum for the spin 1/2 XXZ chain with twisted
boundary conditions, for anisotropy in the regime , and
arbitrary twist . The string hypothesis is employed for treating
complex excitations. The Bethe Ansatz equtions are solved within a coupled
non-linear integral equation approach, with one equation for each type of
string. The root-of-unity quantum group invariant periodic chain reduces to the
XXZ_1/2 chain with a set of twist boundary conditions (,
an integer multiple of ). For this model, the restricted
Hilbert space corresponds to an unitary conformal field theory, and we recover
all primary states in the Kac table in terms of states with specific twist and
strings.Comment: 16 pages, Latex; added discussion on quantum group invariance and
arbitrary magnon numbe
Integrable impurities in Hubbard chain with the open boundary condition
The Kondo problem of two impurities in 1D strongly correlated electron system
within the framework of the open boundary Hubbard chain is solved and the
impurities, coupled to the ends of the electron system, are introduced by their
scattering matrices with electrons so that the boundary matrices satisfy the
reflecting integrability condition. The finite size correction of the ground
state energy is obtained due to the impurities. Exact expressions for the low
temperature specific heat contributed by the charge and spin parts of the
magnetic impurities are derived. The Pauli susceptibility and the Kondo
temperature are given explicitly. The Kondo temperature is inversely
proportional to the density of electrons.Comment: 6 pages, Revtex, To appear in Europhysics Letter
Kondo screening cloud effects in mesoscopic devices
We study how finite size effects may appear when a quantum dot in the Kondo
Coulomb blockade regime is embedded into a mesoscopic device with finite wires.
These finite size effects appear when the size of the mesoscopic device
containing the quantum dot is of the order of the size of Kondo cloud and
affect all thermodynamic and transport properties of the Kondo quantum dot. We
also generalize our results to the experimentally relevant case where the wires
contain several transverse modes/channels. Our results are based on
perturbation theory, Fermi liquid theory and slave boson mean field theory.Comment: 19 pages, 9 figure
Persistent Currents in the Heisenberg chain with a weak link
The Heisenberg chain with a weak link is studied, as a simple example of a
quantum ring with a constriction or defect. The Heisenberg chain is equivalent
to a spinless electron gas under a Jordan-Wigner transformation. Using density
matrix renormalization group and quantum Monte Carlo methods we calculate the
spin/charge stiffness of the model, which determines the strength of the
`persistent currents'. The stiffness is found to scale to zero in the weak link
case, in agreement with renormalization group arguments of Eggert and Affleck,
and Kane and Fisher.Comment: 14 pages, 7 figures, 2 tables, no changes to paper, author list
changed on archiv
Open t-J chain with boundary impurities
We study integrable boundary conditions for the supersymmetric t-J model of
correlated electrons which arise when combining static scattering potentials
with dynamical impurities carrying an internal degree of freedom. The latter
differ from the bulk sites by allowing for double occupation of the local
orbitals. The spectrum of the resulting Hamiltonians is obtained by means of
the algebraic Bethe Ansatz.Comment: LaTeX2e, 9p
Hartree Fock Calculations in the Density Matrix Expansion Approach
The density matrix expansion is used to derive a local energy density
functional for finite range interactions with a realistic meson exchange
structure. Exchange contributions are treated in a local momentum
approximation. A generalized Slater approximation is used for the density
matrix where an effective local Fermi momentum is chosen such that the next to
leading order off-diagonal term is canceled. Hartree-Fock equations are derived
incorporating the momentum structure of the underlying finite range
interaction. For applications a density dependent effective interaction is
determined from a G-matrix which is renormalized such that the saturation
properties of symmetric nuclear matter are reproduced. Intending applications
to systems far off stability special attention is paid to the low density
regime and asymmetric nuclear matter. Results are compared to predictions
obtained from Skyrme interactions. The ground state properties of stable nuclei
are well reproduced without further adjustments of parameters. The potential of
the approach is further exemplified in calculations for A=100...140 tin
isotopes. Rather extended neutron skins are found beyond 130Sn corresponding to
solid layers of neutron matter surrounding a core of normal composition.Comment: Revtex, 29 pages including 14 eps figures, using epsfig.st
Absence of backscattering at integrable impurities in one-dimensional quantum many-body systems
We study interacting one dimensional (1D) quantum lattice gases with
integrable impurities. These model Hamiltonians can be derived using the
quantum inverse scattering method for inhomogeneous models and are by
construction integrable. Absence of backscattering at the impurities is shown
to be the characteristic feature of these disordered systems. The value of the
effective carrier charge and the Sutherland-Shastry relation are derived for
the half-filled XXX model and are shown to be independent of the impurity
concentration and strength. For the half-filled XXZ model we show that there is
no enhancement of the persistent currents for repulsive interactions. For
attractive interactions we identify a crossover regime beyond which enhancement
of the currents is observed.Comment: 14 RevTeX 3.0 pages with 1 PS-figure include
Anti-Kondo resonance in transport through a quantum wire with a side-coupled quantum dot
An interacting quantum dot side-coupled to a perfect quantum wire is studied.
Transport through the quantum wire is investigated by using an exact sum rule
and the slave-boson mean field treatment. It is shown that the Kondo effect
provides a suppression of the transmission due to the destructive interference
of the ballistic channel and the Kondo channel. At finite temperatures,
anti-resonance behavior is found as a function of the quantum dot level
position, which is interpreted as a crossover from the high temperature Kondo
phase to the low temperature charge fluctuation phase.Comment: 4 pages Revtex, 3 eps figure
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