arXiv subjects

F. B. Anders

Publications and source records attributed to F. B. Anders.

11 recordsLinked to original sources

arXiv2016

Spin noise of electrons and holes in (In,Ga)As quantum dots: experiment and theory

The spin fluctuations of electron and hole doped self-assembled quantum dot ensembles are measured optically in the low-intensity limit of a probe laser in absence and presence of longitudinal or transverse static magnetic fields. The experimental results are modeled by two complementary approaches based either on semiclassical or quantum mechanical descriptions. This allows us to characterize the hyperfine interaction of electron and hole spins with the surrounding bath of nuclei on time scales covering several orders of magnitude. Our results demonstrate (i) the intrinsic precession of the electron spin fluctuations around the effective nuclear Overhauser field caused by the host lattice nuclear spins, (ii) the comparably long time scales for electron and hole spin decoherence, as well as (iii) the dramatic enhancement of the spin lifetimes induced by a longitudinal magnetic field due to the decoupling of nuclear and charge carrier spins.

cond-mat.mes-hall↗

arXiv2010

Ab initio study of a mechanically gated molecule: From weak to strong correlation

The electronic spectrum of a chemically contacted molecule in the junction of a scanning tunneling microscope can be modified by tip retraction. We analyze this effect by a combination of density functional, many-body perturbation and numerical renormalization group theory, taking into account both the non-locality and the dynamics of electronic correlation. Our findings, in particular the evolution from a broad quasiparticle resonance below to a narrow Kondo resonance at the Fermi energy, correspond to the experimental observations.

cond-mat.mtrl-sci↗

arXiv2008

Dissipative Two-Electron Transfer

We investigate non-equilibrium two-electron transfer in a model redox system represented by a two-site extended Hubbard model and embedded in a dissipative environment. The influence of the electron-electron interactions and the coupling to a dissipative bosonic bath on the electron transfer is studied in different temperature regimes. At high temperatures Marcus transfer rates are evaluated and at low temperatures, we calculate equilibrium and non-equilibrium population probabilities of the donor and acceptor with the non-perturbative Numerical Renormalization Group approach. We obtain the non-equilibrium dynamics of the system prepared in an initial state of two electrons at the donor site and identify conditions under which the electron transfer involves one concerted two-electron step or two sequential single-electron steps. The rates of the sequential transfer depend non-monotonically on the difference between the inter-site and on-site Coulomb interaction which become renormalized in the presence of the bosonic bath. If this difference is much larger than the hopping matrix element, the temperature as well as the reorganization energy, simultaneous transfer of both electrons between donor and acceptor can be observed.

cond-mat.str-el↗

arXiv2008

A Numerical Renormalization Group approach to Non-Equilibrium Green's Functions for Quantum Impurity Models

We present a method for the calculation of dynamical correlation functions of quantum impurity systems out of equilibrium using Wilson's numerical renormalization group. Our formulation is based on a complete basis set of the Wilson chain and embeds the recently derived algorithm for equilibrium spectral functions. Our method fulfills the spectral weight conserving sum-rule exactly by construction. A local Coulomb repulsion $U>0$ is switched on at $t=0$, and the asymptotic steady-state spectral functions are obtained for various values of $U$ as well as magnetic field strength $H$ and temperature $T$. These benchmark tests show excellent agreement between the time-evolved and the directly calculated equilibrium NRG spectra for finite $U$. This method could be used for calculating steady-state non-equilibrium spectral functions at finite bias through interacting nano-devices.

cond-mat.str-el↗

arXiv2006

Influence of Correlated Hybridization on the Conductance of Molecular Transistors

We study the spin-1/2 single-channel Anderson impurity model with correlated (occupancy dependent) hybridization for molecular transistors using the numerical renormalization-group method. Correlated hybridization can induce nonuniversal deviations in the normalized zero-bias conductance and, for some parameters, modestly enhance the spin polarization of currents in applied magnetic field. Correlated hybridization can also explain a gate-voltage dependence to the Kondo scale similar to what has been observed in recent experiments.

cond-mat.str-el↗

arXiv1997

The influence of crystal-field effects on the electronic transport properties of heavy-fermion systems: a semiphenomenological approach

The electronic transport properties of heavy-fermion systems were calculated based on a semiphenomenological approach to the lattice non-crossing approximation in the limit of infinite local correlations augmented by crystal-field effects. Within the scope of this calculation using the linearized Boltzmann theory in the relaxation time approximation the qualitative features of the temperature-dependent resistivity, the magnetoresistivity and the thermoelectric power can be successfully reproduced; this is exemplified by a comparison with experimental results on CeCu_2Si_2.

cond-mat.str-el↗

arXiv1996

Break junctions of the heavy-fermion superconductors

Mechanical-controllable break junctions of the heavy-fermion superconductors can show Josephson-like superconducting anomalies. But a systematic study on the contact size demonstrates that these anomalies are mainly due to Maxwell's resistance being suppressed in the superconducting heavy-fermion phase. Up to day, we could not find any superconducting features by vacuum-tunnelling spectroscopy, providing further evidence for the pair-breaking effect of the heavy-fermion interfaces.

cond-mat.supr-con↗

arXiv1996

Self-consistent Treatment of Crystal-Electric-Field-Levels in the Anderson Lattice

We consider an Anderson lattice model with a spin 1/2 degenerated conduction electron band and localized ionic CEF-levels, classified according to the irreducible representation of the point group of the lattice. We present the self-consistency equations for local approximations ("$d\rightarrow\infty"$ approximation) for the periodic Anderson model. It leads to a matrix formulation of the effective local density of states and the lattice $f$-Green's function. We derive the quasi-particle life-time which enters the Boltzmann transport equations. The impact of a $k$-dependent hybridization is discussed. We prove that vertex corrections will vanish, as long as all states of an irreducible representation couple to the conduction electron band with a hybridization matrix element of the same parity.

cond-mat↗

arXiv1996

Towards a Microscopic Theory for Metallic Heavy-Fermion Point Contacts

The bias-dependent resistance R(V) of NS-junctions is calculated using the Keldysh formalism in all orders of the transfer matrix element. We present a compact and simple formula for the Andreev current, that results from the coupling of electrons and holes on the normal side via the anomalous Green's function on the superconducting side. Using simple BCS Nambu-Green's functions the well known Blonder-Tinkam-Klapwijk theory can be recovered. Incorporating the energy-dependent quasi-particle lifetime of the heavy fermions strongly reduces the Andreev-reflection signal.

supr-con↗

arXiv1994

Beyond the Nca: New Results for the Spectral Properties of the Anderson Model

In the framework of direct perturbation theory a fully self-consistent approximation beyond the well known NCA will be presented for the Anderson Model. The resummation of a class of skeleton diagrams up to infinite order in $V$ includes all contribution up to the order $O(1/N^2)$ ( $N$ = degeneracy of the magnetic state). Qualitative improvements in maintaining local Fermi-Liquid relations and one-particle spectral properties in comparison to the well known NCA will be reported. The location and temperature dependence of the AS-resonance for the case $N=2$ is found to be rather close to the chemical potential in excellent agreement with Friedel's sum rule; the static magnetic susceptibility exhibits the same $N$-dependence as the exact {\em Bethe-Ansatz} solution.

cond-mat↗

arXiv1994

Perturbational Approach to the Anderson Model: New Results from a Post-Nca Treatment

We present selected results from combined analytical and numerical studies of the Anderson-impurity model within the framework of infinite order perturbation theory with respect to the hybridization. Our approximation goes considerably beyond the well known non\-cross\-ing approximation (NCA): The re-summations include skeleton diagrams up to infinite order of the cross\-ing variety, including all $1/N^2$ contributions ($N =$ degeneracy of the magnetic state). We demonstrate, in a comparison with NCA theory, changes in the threshold behaviour of local propagators, a qualitative improvement of spectral properties and a clear progress in attaining local Fermi-liquid properties. Further applications of the post-NCA theory are pointed out.

cond-mat↗