arXiv subjects

A. Liebsch

Publications and source records attributed to A. Liebsch.

32 records · Page 2Linked to original sources

arXiv2005

Novel Mott Transitions in Non-Isotropic Two-Band Hubbard Model

The Mott transition in a two-band Hubbard model involving subbands of different widths is studied as a function of temperature using dynamical mean field theory combined with exact diagonalization. The phase diagram is shown to exhibit two successive first-order transitions if the full Hund's rule coupling is included. In the absence of spin-flip and pair-exchange terms the lower transition remains first-order while the upper becomes continuous.

cond-mat.str-el↗

arXiv2005

Comment on: "Orbital-selective Mott transitions in the anisotropic two-band Hubbard model at finite temperatures" by C. Knecht, N. Bluemer, and P. G. J. van Dongen, cond-mat/0505106

A detailed comparison of QMC/DMFT results for the non-isotropic two-band Hubbard model by Liebsch [Phys. Rev. B 70, 165103 (2004)] and C. Knecht, N. Bluemer, and P. G. J. van Dongen [cond-mat/0505106 (submitted to Phys. Rev. Lett.)] is given. Both results are shown to be in excellent agreement. Thus, the claims by Knecht et al.: ``The second transition [was] not seen in earlier studies using QMC and IPT'' and ``Our high-precision data correct earlier QMC results by Liebsch'' are shown to be unfounded.

cond-mat.str-el↗

arXiv2005

Effect of Dynamical Coulomb Correlations on the Fermi Surface of Na_0.3CoO_2

The t2g quasi-particle spectra of Na_0.3CoO_2 are calculated within the dynamical mean field theory. It is shown that as a result of dynamical Coulomb correlations charge is transfered from the nearly filled e_g' subbands to the a_1g band, thereby reducing orbital polarization among Co t2g states. Dynamical correlations therefore stabilize the small e_g' Fermi surface pockets, in contrast to angle-resolved photoemission data, which do not reveal these pockets.

cond-mat.str-el↗

arXiv2004

Coulomb Correlations and Orbital Polarization in the Metal Insulator Transition of VO_2

The quasi-particle spectra in the metallic rutile and insulating monoclinic phases of VO$_2$ are shown to be dominated by local Coulomb interactions. In the rutile phase the small orbital polarization among V 3d t_2g states leads to weak static but strong dynamical correlations. In the monoclinic phase the large 3d orbital polarization caused by the V--V Peierls distortion gives rise to strong static correlations which are shown to be the primary cause of the insulating behavior.

cond-mat.str-el↗

arXiv2004

Single Mott Transition in Multi-Orbital Hubbard Model

The Mott transition in a multi-orbital Hubbard model involving subbands of different widths is studied within the dynamical mean field theory. Using the iterated perturbation theory for the quantum impurity problem it is shown that at low temperatures inter-orbital Coulomb interactions give rise to a single first-order transition rather than a sequence of orbital selective transitions. Impurity calculations based on the Quantum Monte Carlo method confirm this qualitative behavior. Nevertheless, at finite temperatures, the degree of metallic or insulating behavior of the subbands differs greatly. Thus, on the metallic side of the transition, the narrow band can exhibit quasi-insulating features, whereas on the insulating side the wide band exhibits pronounced bad-metal behavior. This complexity might partly explain contradictory results between several previous works.

cond-mat.str-el↗

arXiv2003

Mott transition in multi-orbital systems

Metal insulator transitions driven by local Coulomb interactions are among the most fascinating phenomena in condensed matter physics. They occur in a large variety of transition metal compounds. Most of these strongly correlated materials consist of valence bands derived from electronic d shells where intra- and inter-orbital Coulomb interactions are equally important and where the crystal structure splits the valence bands into narrow and wide subbands. A fundamental question is whether these systems exhibit a common Mott transition, implying all subbands to be either metallic or insulating, or successive orbital dependent transitions, implying a coexistence region with metallic and insulating behavior present in different subbands. Using the dynamical mean field theory we show that inter-orbital Coulomb interactions lead to a single Mott transition. Nevertheless, the subbands exhibit more or less strongly correlated excitation spectra in the metallic phase and different band gaps in the insulating phase.

cond-mat.str-el↗

arXiv2003

Role of occupied d bands in the dynamics of excited electrons and holes in Ag

The role that occupied $d$ bands play in the inelastic lifetime of bulk and surface states in Ag is investigated from the knowledge of the quasiparticle self-energy. In the case of bulk electrons, $sp$ bands are taken to be free-electron like. For surface states, the surface band structure of $sp$ states is described with the use of a realistic one-dimensional hamiltonian. The presence of occupied $d$ states is considered in both cases by introducing a polarizable background. We obtain inelastic lifetimes of bulk electrons that are in good agreement with first-principles band-structure calculations. Our surface-state lifetime calculations indicate that the agreement with measured lifetimes of both crystal-induced and image-potential induced surface states on Ag(100) and Ag(111) is considerably improved when the screening of $d$ electrons is taken into account.

cond-mat.mtrl-sci↗

arXiv2003

Surface versus bulk Mott transition in Ca$_x$La$_{1-x}$VO$_3$

The Mott insulator LaVO$_3$ is known to become metallic if La is replaced by small concentrations of Ca. Since surface quasi-particle spectra of various perovskites are more strongly correlated than their bulk spectra, the coexistence of a metallic bulk and an insulating surface layer might be feasible. To investigate this possibility the dynamical mean field theory is used to evaluate the quasi-particle spectra in the bulk and at the surface of Ca$_x$La$_{1-x}$VO$_3$ for various Ca concentrations.

cond-mat.str-el↗

arXiv2003

Absence of orbital-selective Mott transition in Ca_2-xSr_xRuO4

Quasi-particle spectra of the layer perovskite Sr$_2$RuO$_4$ are calculated within Dynamical Mean Field Theory for increasing values of the on-site Coulomb energy $U$. At small $U$ the planar geometry splits the $t_{2g}$ bands near $E_F$ into a wide, two-dimensional $d_{xy}$ band and two narrow, nearly one-dimensional $d_{xz,yz}$ bands. At larger $U$, however, the spectral distribution of these states exhibit similar correlation features, suggesting a common metal-insulator transition for all $t_{2g}$ bands at the same critical $U$.

cond-mat.str-el↗

arXiv2003

Quasi-particle spectra of perovskites: Enhanced Coulomb correlations at surfaces

Photoemission spectra of the perovskites Ca$_x$Sr$_{1-x}$VO$_3$, Ca$_x$La$_{1-x}$VO$_3$, and SrRuO$_3$ indicate that Coulomb correlations are more pronounced at the surface than in the bulk. To investigate this effect we use the dynamical mean field theory combined with the Quantum Monte Carlo technique and evaluate the multi-orbital self-energy. These systems exhibit different degrees of band filling and range from metallic to insulating. The key input in the calculations is the layer dependent local density of states which we obtain from a tight-binding approach for semi-infinite cubic systems. As a result of the planar character of the perovskite $t_{2g}$ bands near the Fermi level, the reduced coordination number of surface atoms gives rise to a significant narrowing of the surface density of those subbands which hybridize preferentially in planes normal to the surface. Although the total band width coincides with the one in the bulk, the effective band narrowing at the surface leads to stronger correlation features in the quasi-particle spectra. In particular, the weight of the quasi-particle peak near $E_F$ is reduced and the amplitude of the lower and upper Hubbard bands is enhanced, in agreement with experiments.

cond-mat.str-el↗

arXiv2002

Surface vs. bulk Coulomb correlations in photoemission spectra of perovskites

Recent photoemission spectra of the perovskite series Sr$_x$Ca$_{1-x}$VO$_3$ revealed strong modifications associated with surface contributions. To study the effect of Coulomb correlations in the bulk and at the surface the quasi-particle spectra are evaluated using the dynamical mean field theory. It is shown that as a result of the reduced coordination number of surface atoms correlation effects are stronger at the surface than in the bulk, in agreement with experiment.

cond-mat.str-el↗

arXiv2002

The role of surface plasmons in the decay of image-potential states on silver surfaces

The combined effect of single-particle and collective surface excitations in the decay of image-potential states on Ag surfaces is investigated, and the origin of the long-standing discrepancy between experimental measurements and previous theoretical predictions for the lifetime of these states is elucidated. Although surface-plasmon excitation had been expected to reduce the image-state lifetime, we demonstrate that the subtle combination of the spatial variation of s-d polarization in Ag and the characteristic non-locality of many-electron interactions near the surface yields surprisingly long image-state lifetimes, in agreement with experiment.

cond-mat.mtrl-sci↗

arXiv1999

Photoemission Quasi-Particle Spectra of Sr$_2$RuO$_4$

Multi-band quasi-particle calculations based on perturbation theory and dynamical mean field methods show that the creation of a photoemission hole state in Sr$_2$RuO$_4$ is associated with a highly anisotropic self-energy. Since the narrow Ru-derived $d_{xz,yz}$ bands are more strongly distorted by Coulomb correlations than the wide $d_{xy}$ band, charge is partially transferred from $d_{xz,yz}$ to $d_{xy}$, thereby shifting the $d_{xy}$ van Hove singularity close to the Fermi level.

cond-mat.str-el↗

arXiv1999

Electronic versus Phononic Friction of Xenon on Silver

Molecular dynamics simulations of a Xe monolayer sliding on Ag(001) and Ag(111) are carried out in order to ascertain the microscopic origin of friction. For several values of the electronic contribution to the friction of individual Xe atoms, the intra-overlayer phonon dissipation is calculated as a function of the corrugation amplitude of the substrate potential, which is a pertinent parameter to consider. Within the accuracy of the numerical results and the uncertainty with which the values of the relevant parameters are known at present, we conclude that electronic and phononic dissipation channels are of similar importance. While phonon friction gives rise to the rapid variation with coverage, the electronic friction provides a roughly coverage-independent contribution to the overall sliding friction.

cond-mat.mtrl-sci↗