21 research outputs found
Kondo Lattice Model with Finite Temperature Lanczos Method
We investigate the Kondo Lattice Model on 2D clusters using the Finite
Temperature Lanczos Method. The temperature dependence of thermodynamic and
correlations functions are systematically studied for various Kondo couplings
JK. The ground state value of the total local moment is presented as well.
Finally, the phase diagrams of the finite clusters are constructed for periodic
and open boundary conditions. For the two boundary conditions, two different
regimes are found for small JK/t, depending on the distribution of
non-interacting conduction electron states. If there are states within JK
around the Fermi level, two energy scales, linear and quadratic in JK, exist.
The former is associated with the onsite screening and the latter with the RKKY
interaction. If there are no states within JK around the Fermi level, the only
energy scale is that of the RKKY interaction. Our results imply that the form
of the electron density of states (DOS) plays an important role in the
competition between the Kondo screening and the RKKY interaction. The former is
stronger if the DOS is larger around the Fermi level, while the latter is less
sensitive to the form of the DOS.Comment: 7 pages, 7 figures; corrected typo
Antiferromagnetic and spin gap phases of the anisotropic Kondo necklace model
We have studied the effect of anisotropies on the quantum phase transition of
the Kondo necklace model in dimensions D=1, 2 and 3. Both the anisotropy
of the inter-site interaction term and anisotropy of the
on-site Kondo interaction have been included. We use a bond operator method
with constraints implemented in mean field approximation. Starting from the
paramagnetic phase we determine the critical ratio of the quantum
critical point and associated scaling exponents of the Kondo-singlet gap. We
show that in the case of easy-axis type anisotropy a qualitatively
new behavior in comparison to the conventional Kondo necklace model with
(,)=(0,1) appears. We have also obtained the antiferromagnetic
order parameter in the long range ordered phase for .Comment: 12 pages and 9 figures, to appear in PR
Field induced quantum phase transition in the anisotropic Kondo necklace model
The anisotropic Kondo necklace model in 2D and 3D is treated as a genuine
model for magnetic to Kondo singlet quantum phase transitions in the heavy
fermion (HF) compounds. The variation of the quantum critical point (QCP) with
anisotropy parameters has been investigated previously in the zero field case
[1]. Here we extend the treatment to finite fields using a generalised bond
operator representation including all triplet states. The variation of critical
tc with external field H and the associated phase diagram is derived. The
influence of anisotropies and the different g-factors for localised and
itinerant spins on tc(H) is also investigated. It is found that three different
types of behaviour may appear: (i) Destruction of antiferromangetism and
appearance of a singlet state above a critical field. (ii) The inverese
behaviour, namely field induced antiferromagnetism out of the Kondo singlet
phase. (iii) Reentrance behaviour of the Kondo singlet phase as function of
field strength.Comment: 12 pages, 5 figure
Four-well tunneling states and elastic response of clathrates
We present resonant ultrasound elastic constant measurements of the clathrate
compounds Eu8Ga16Ge30 and Sr8Ga16Ge30. The elastic response of the Eu clathrate
provides clear evidence for the existence of a new type of four-well tunneling
states, described by two nearly degenerate four level systems (FLS). The FLS's
are closely linked with the fourfold split positions of Eu known from neutron
diffraction density profiles. Using a realistic potential we estimate the
tunneling frequencies and show that the energy gap between the two FLS's is of
the same order as the Einstein oscillator frequency. This explains why the
observed harmonic oscillator type specific heat is not modified by tunneling
states. In addition the quadrupolar interaction of FLS's with elastic strains
explains the pronounced depression observed in elastic constant measurements.
In the case of the Sr clathrate, we show that the shallow dip in the elastic
constant c44 is explained using the same type of quadrupolar interaction with a
soft Einstein mode instead of a FLS.Comment: 4 pages, 4 figures; accepted for publication in Physical Review
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