368 research outputs found
Analytical results for the Coqblin-Schrieffer model with generalized magnetic fields
Using the approach alternative to the traditional Thermodynamic Bethe Ansatz,
we derive analytical expressions for the free energy of Coqblin-Schrieffer
model with arbitrary magnetic and crystal fields. In Appendix we discuss two
concrete examples including the field generated crossover from the SU(4) to the
SU(2) symmetry in the SU(4)-symmetric model.Comment: 5 page
Zero-temperature Phase Diagram For Strongly-Correlated Nanochains
Recently there has been a resurgence of intense experimental and theoretical
interest on the Kondo physics of nanoscopic and mesoscopic systems due to the
possibility of making experiments in extremely small samples. We have carried
out exact diagonalization calculations to study the effect of the energy
spacing of the conduction band on the ground-state properties of a
dense Anderson model nanochain. The calculations reveal for the first time that
the energy spacing tunes the interplay between the Kondo and RKKY interactions,
giving rise to a zero-temperature versus hybridization phase diagram
with regions of prevailing Kondo or RKKY correlations, separated by a {\it free
spins} regime. This interplay may be relevant to experimental realizations of
small rings or quantum dots with tunable magnetic properties.Comment: 8 pages, 3 figures. J. Appl. Phys. (in press
Scalar potential effect in an integrable Kondo model
To study the impurity potential effect to the Kondo problem in a Luttinger
liquid, we propose an integrable model of two interacting half-chains coupled
with a single magnetic impurity ferromagnetically. It is shown that the scalar
potential effectively reconciles the spin dynamics at low temperatures.
Generally, there is a competition between the Kondo coupling and the
impurity potential . When the ferromagnetic Kondo coupling dominates over
the impurity potential (), the Furusaki-Nagaosa many-body singlet can
be perfectly realized. However, when the impurity potential dominates over the
Kondo coupling (), the fixed point predicted by Furusaki and
Nagaosa is unstable and the system must flow to a weak coupling fixed point. It
is also found that the effective moment of the impurity measured from the
susceptibility is considerably enlarged by the impurity potential. In addition,
some quantum phase transitions driven by the impurity potential are found and
the anomaly residual entropy is discussed.Comment: volume enlarged, some new references are adde
Magnetoresistance in the s-d Model with Arbitrary Impurity Spin
The magnetoresistance, the number of the localized electrons, and the s-wave
scattering phase shift at the Fermi level for the s-d model with arbitrary
impurity spin are obtained in the ground state. To obtain above results some
known exact results of the Bethe ansatz method are used. As the impurity spin S
= 1/2, our results coincide with those obtained by Ishii \textit{et al%}. The
compairsion between the theoretical and experimental magneticresistence for
impurity S = 1/2 is re-examined.Comment: 6 pages, 2 figure
Intersite coupling effects in a Kondo lattice
The La dilution of the Kondo lattice CeCoIn_5 is studied. The scaling laws
found for the magnetic susceptibility and the specific heat reveal two
well-separated energy scales, corresponding to the single impurity Kondo
temperature T_K and an intersite spin-liquid temperature T^*. The Ce-dilute
alloy has the expected Fermi liquid ground state, while the specific heat and
resistivity in the dense Kondo regime exhibit non-Fermi-liquid behavior, which
scales with T^*. These observations indicate that the screening of the magnetic
moments in the lattice involves antiferromagnetic intersite correlations with a
larger energy scale in comparison with the Kondo impurity case.Comment: 4 pages, 4 figure
Spin-orbit tuned metal-insulator transitions in single-crystal Sr2Ir1-xRhxO4 (0\leqx\leq1)
Sr2IrO4 is a magnetic insulator driven by spin-orbit interaction (SOI)
whereas the isoelectronic and isostructural Sr2RhO4 is a paramagnetic metal.
The contrasting ground states have been shown to result from the critical role
of the strong SOI in the iridate. Our investigation of structural, transport,
magnetic and thermal properties reveals that substituting 4d Rh4+ (4d5) ions
for 5d Ir4+(5d5) ions in Sr2IrO4 directly reduces the SOI and rebalances the
competing energies so profoundly that it generates a rich phase diagram for
Sr2Ir1-xRhxO4 featuring two major effects: (1) Light Rh doping (0\leqx\leq0.16)
prompts a simultaneous and precipitous drop in both the electrical resistivity
and the magnetic ordering temperature TC, which is suppressed to zero at x =
0.16 from 240 K at x=0. (2) However, with heavier Rh doping (0.24< x<0.85
(\pm0.05)) disorder scattering leads to localized states and a return to an
insulating state with spin frustration and exotic magnetic behavior that only
disappears near x=1. The intricacy of Sr2Ir1-xRhxO4 is further highlighted by
comparison with Sr2Ir1-xRuxO4 where Ru4+(4d4) drives a direct crossover from
the insulating to metallic states.Comment: 5 figure
Ghost spins and novel quantum critical behavior in a spin chain with local bond-deformation
We study the boundary impurity-induced critical behavior in an integrable
SU(2)-invariant model consisting of an open Heisenberg chain of arbitrary
spin- (Takhatajian-Babujian model) interacting with an impurity of spin
located at one of the boundaries. For or , the
impurity interaction has a very simple form which
describes the deformed boundary bond between the impurity and the
first bulk spin with an arbitrary strength . With a weak
coupling , the impurity is completely compensated,
undercompensated, and overcompensated for , and as in the
usual Kondo problem. While for strong coupling , the
impurity spin is split into two ghost spins. Their cooperative effect leads to
a variety of new critical behaviors with different values of .Comment: 16 pages revtex, no figur
What's fair? How children assign reward to members of teams with differing causal structures
How do children reward individual members of a team that has just won or lost a game? We know that from pre-school age, children consider agents’ performance when allocating reward. Here we assess whether children can go further and appreciate performance in context: The same pattern of performance can contribute to a team outcome in different ways, depending on the underlying rule framework. Two experiments, with three age groups (4/5-year-olds, 6/7-year-olds, and adults), varied performance of team members, with the same performance patterns considered under three different game rules for winning or losing. These three rules created distinct underlying causal structures (additive, conjunctive, disjunctive), for how individual performance affected the overall team outcome. Even the youngest children differentiated between different game rules in their reward allocations. Rather than only rewarding individual performance, or whether the team won/lost, children were sensitive to the team structure and how players’ performance contributed to the win/loss under each of the three game rules. Not only do young children consider it fair to allocate resources based on merit, but they are also sensitive to the causal structure of the situation which dictates how individual contributions combine to determine the team outcome
Exactly solvable toy models of unconventional magnetic alloys: Bethe Ansatz versus Renormalization Group method
We propose toy models of unconventional magnetic alloys, in which the density
of band states, , and hybridization, , are energy
dependent; it is assumed, however, that
, and hence an effective
electron-impurity coupling is
energy independent. In the renormalization group approach, the physics of the
system is assumed to be governed by only rather than by
separate forms of and . However, an exact Bethe
Ansatz solution of the toy Anderson model demonstrates a crucial role of a form
of inverse band dispersion .Comment: A final version. A previous one has been sent to Archive because of
my technical mistake. Sorr
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