119 research outputs found
A large-N analysis of the local quantum critical point and the spin-liquid phase
We study analytically the Kondo lattice model with an additional
nearest-neighbor antiferromagnetic interaction in the framework of large-N
theory. We find that there is a local quantum critical point between two
phases, a normal Fermi-liquid and a spin-liquid in which the spins are
decoupled from the conduction electrons. The local spin susceptibility displays
a power-law divergence throughout the spin liquid phase. We check the
reliability of the large-N results by solving by quantum Monte Carlo simulation
the N=2 spin-liquid problem with no conduction electrons and find qualitative
agreement. We show that the spin-liquid phase is unstable at low temperatures,
suggestive of a first-order transition to an ordered phase.Comment: 4 pages and 1 figur
Magnetoconductance through a vibrating molecule in the Kondo regime
The effect of a magnetic field on the equilibrium spectral and transport
properties of a single-molecule junction is studied using the numerical
renormalization group method. The molecule is described by the
Anderson-Holstein model in which a single vibrational mode is coupled to the
electron density. The effect of an applied magnetic field on the conductance in
the Kondo regime is qualitatively different in the weak and strong
electron-phonon coupling regimes. In the former case, the Kondo resonance is
split and the conductance is strongly suppressed by a magnetic field , with the Kondo temperature. In the strong
electron-phonon coupling regime a charge analog of the Kondo effect develops.
In this case the Kondo resonance is not split by the field and the conductance
in the Kondo regime is enhanced in a broad range of values of .Comment: 6 pages, 4 figure
Locally critical point in an anisotropic Kondo lattice
We report the first numerical identification of a locally quantum critical
point, at which the criticality of the local Kondo physics is embedded in that
associated with a magnetic ordering. We are able to numerically access the
quantum critical behavior by focusing on a Kondo-lattice model with Ising
anisotropy. We also establish that the critical exponent for the q-dependent
dynamical spin susceptibility is fractional and compares well with the
experimental value for heavy fermions.Comment: 4 pages, 3 figures; published versio
Continuous quantum phase transition in a Kondo lattice model
We study the magnetic quantum phase transition in an anisotropic Kondo
lattice model. The dynamical competition between the RKKY and Kondo
interactions is treated using an extended dynamic mean field theory (EDMFT)
appropriate for both the antiferromagnetic and paramagnetic phases. A quantum
Monte Carlo approach is used, which is able to reach very low temperatures, of
the order of 1% of the bare Kondo scale. We find that the finite-temperature
magnetic transition, which occurs for sufficiently large RKKY interactions, is
first order. The extrapolated zero-temperature magnetic transition, on the
other hand, is continuous and locally critical.Comment: 4 pages, 4 figures; updated, to appear in PR
Disorder effects in the quantum Heisenberg model: An Extended Dynamical mean-field theory analysis
We investigate a quantum Heisenberg model with both antiferromagnetic and
disordered nearest-neighbor couplings. We use an extended dynamical mean-field
approach, which reduces the lattice problem to a self-consistent local impurity
problem that we solve by using a quantum Monte Carlo algorithm. We consider
both two- and three-dimensional antiferromagnetic spin fluctuations and
systematically analyze the effect of disorder. We find that in three dimensions
for any small amount of disorder a spin-glass phase is realized. In two
dimensions, while clean systems display the properties of a highly correlated
spin-liquid (where the local spin susceptibility has a non-integer power-low
frequency and/or temperature dependence), in the present case this behavior is
more elusive unless disorder is very small. This is because the spin-glass
transition temperature leaves only an intermediate temperature regime where the
system can display the spin-liquid behavior, which turns out to be more
apparent in the static than in the dynamical susceptibility.Comment: 15 pages, 7 figure
Many Body Effects on the Transport Properties of Single-Molecule Devices
The conductance through a molecular device including electron-electron and
electron-phonon interactions is calculated using the Numerical Renormalization
Group method. At low temperatures and weak electron-phonon coupling the
properties of the conductance can be explained in terms of the standard Kondo
model with renormalized parameters. At large electron-phonon coupling a charge
analog of the Kondo effect takes place that can be mapped into an anisotropic
Kondo model. In this regime the molecule is strongly polarized by a gate
voltage which leads to rectification in the current-voltage characteristics of
the molecular junction.Comment: 4 pages, 4 figures, minor changes, added reference
Universal Distribution of Kondo Temperatures in Dirty Metals
Kondo screening of diluted magnetic impurities in a disordered host is
studied analytically and numerically in one, two and three dimensions. It is
shown that in the T_K \to 0 limit the distribution of Kondo temperatures has a
universal form, P(T_K) \sim T_K^{-\alpha} that holds in the insulating phase
and persists in the metallic phase close to the metal insulator transition.
Moreover, the exponent \alpha depends only on the dimensionality. The most
important consequence of this result is that the T-dependence of thermodynamic
properties is smooth across the metal-insulator transition in three dimensional
systems.Comment: 4 pages, 3 figures; added referenc
- …