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Plenarvorträge - DPG-Tagungen

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Symposium Non-Fermi Liquids in Quantum Structures Donnerstag<br />

Fachsitzungen<br />

– Hauptvorträge –<br />

SYNF 1 Non-Fermi Liquids in Quantum Structures<br />

Zeit: Donnerstag 15:00–18:30 Raum: H 1<br />

Hauptvortrag SYNF 1.1 Do 15:00 H 1<br />

Coulomb Drag Between Quantum Wires: Beyond Tomonaga-<br />

Luttinger Model — •Leonid Glazman — Theoretical Physics Institute,<br />

University of Minnesota, Minneapolis, Minnesota 55455, USA<br />

We demonstrate that in a wide range of temperatures, Coulomb drag<br />

between two weakly coupled quantum wires is dominated by processes<br />

with a small interwire momentum transfer. Such processes, not accounted<br />

for in the conventional Luttinger liquid theory, contribute to drag only<br />

because the electron dispersion relation is not linear. The corresponding<br />

contribution to the drag resistance scales with temperature as T 2 if the<br />

wires are identical, and as T 5 if the wires are different.<br />

Hauptvortrag SYNF 1.2 Do 15:35 H 1<br />

Spin and Charge Separation and Localization in One - Dimension<br />

Measured Using Momentum Resolved Tunneling — •Amir<br />

Yacoby — Department of Condensed Matter Physics, Weizmann Institute<br />

of Science, Rehovot 76100, Israel<br />

We have measured the collective excitation spectrum of interacting<br />

electrons in one-dimension. The experiment consists of controlling the<br />

energy and momentum of electrons tunneling between two clean and<br />

closely situated, parallel quantum wires in a GaAs/AlGaAs heterostructure<br />

while measuring the resulting conductance. At high elelctron densities<br />

the measured excitation spectrum clearly deviates from the noninteracting<br />

spectrum, attesting to the importance of Coulomb interactions.<br />

Notable is the observation of two excitation branches corresponding<br />

to spin - charge separation. In short wires, 6 microns and 2 microns long,<br />

finite size effects, resulting from breaking of translational invariance, are<br />

observed. Here spin and charge separation is manifested through Moire<br />

patterns generated from the spin and charge excitation velocities. At low<br />

electron densities the system abruptly looses translation invariance and<br />

becomes localized. We find that the localization length corresponds to<br />

the inter-electron spacing determined by the 1D electron density.<br />

Hauptvortrag SYNF 1.3 Do 16:10 H 1<br />

Probing spin-charge separation in tunnel-coupled parallel quantum<br />

wires — •M. Governale 1 and U. Zülicke 2 — 1 Scuola Normale<br />

Superiore, piazza dei Cavalieri 7, I-56100 Pisa, Italy — 2 Institute of Fundamental<br />

Sciences, Massey University, Private Bag 11222, Palmerston<br />

North, New Zealand<br />

Interactions in one-dimensional electron systems are expected to cause<br />

a dynamical separation of electronic spin and charge degrees of freedom.<br />

This non-Fermi liquid phenomenon, called spin-charge separation,<br />

manifests itself as a double peak structure in the single-electron spectral<br />

function, and can be detected by momentum-resolved tunneling spectroscopy.<br />

A promising setup consists of two quantum wires coupled by<br />

an extended uniform tunnel barrier[1].<br />

We consider a minimal model for one-dimensional interacting electrons<br />

exhibiting spin-charge separation, where we neglect interactions between<br />

electrons with opposite chirality. We present results for the differential<br />

tunneling conductance and we discuss the features arising from spincharge<br />

separation. Furthermore, we provide a theoretical framework to<br />

go beyond the perturbative treatment of tunneling, and we calculate the<br />

density-density response function[2].<br />

[1] O. M. Auslander, A. Yacoby, R. de Picciotto, K. W. Baldwin, L. N.<br />

Pfeiffer, and K. W. West, Science 295, 825 (2002).<br />

[2] U. Zülicke, and M. Governale, Phys. Rev. B 65, 205304 (2002).<br />

Hauptvortrag SYNF 1.4 Do 16:45 H 1<br />

A carbon nanotube quantum dot coupled to superconductors<br />

— •Mark Buitelaar 1,2 , Bakir Babic 2 , Wolfgang Belzig 2 ,<br />

Christoph Bruder 2 , Thomas Nussbaumer 2 , and Christian<br />

Schönenberger 2 — 1 Cavendish Laboratory, Madingley Road, CB3<br />

0HE, Cambridge, United Kingdom — 2 Institut für Physik, Universität<br />

Basel, Klingelbergstrasse 82, CH 4056 Basel, Switzerland<br />

The electron spin is of central importance in two of the most widely<br />

studied many-body phenomena in solid-state physics: the Kondo effect<br />

and superconductivity. We have investigated their mutual interplay at<br />

the level of a single spin in a carbon nanotube quantum dot. The quantum<br />

dot can be changed from a non-Kondo to a Kondo system as the<br />

number of electrons on the dot is changed from even to odd. We demonstrate<br />

that the Kondo correlations on the dot are not destroyed by the<br />

superconductivity if the Kondo temperature, which varies for different<br />

single-electron states, exceeds the superconducting gap energy.<br />

We observe multiple Andreev reflection peaks in the differential conductance.<br />

The position and magnitude of the subharmonic gap structure<br />

is found to depend strongly on the level positions of the single-electron<br />

states which are adjusted with a gate electrode. A theoretical model of<br />

the device reproduces some of the key features of the experimental data.<br />

Hauptvortrag SYNF 1.5 Do 17:20 H 1<br />

Dimensional crossover and deconfinement in Bechgaard salts<br />

— •Thierry Giamarchi — DPMC, University of Geneva, 24 Quai<br />

Ernest-Ansermet, CH-1211 Geneva, Switzerland<br />

The Bechgaard salts are made of weakly coupled one dimensional<br />

chains. This particular structure gives the possibility to observe in these<br />

systems a dimensional crossover between a high temperature (or high<br />

energy) one dimensional phase and a two or three dimensional system.<br />

Since the filling of the chains is commensurate the system thus undergoes<br />

a deconfinement transition from a one dimensional Mott insulator<br />

to a two (or three) dimensional metal. Such a transition has of course<br />

a strong impact on the physical properties of these compounds, and is<br />

directly seen in transport measurements.<br />

In order to describe such a transition a dynamical mean field method<br />

has been introduced (chain-DMFT). Using this method we investigate<br />

a system of coupled Hubbard chains and show that we can indeed reproduce<br />

the deconfinement transition. This allows to determine physical<br />

quantities such as the transport transverse to the chains and the shape<br />

of the Fermi surface and quasiparticle residues in the low temperature<br />

phase. The consequences for the Bechgaard salts are discussed.<br />

Hauptvortrag SYNF 1.6 Do 17:55 H 1<br />

Spectroscopic signatures of spin-charge separation in a quasione-dimensional<br />

organic conductor — •Ralph Claessen — Experimentalphysik<br />

II, Universität Augsburg, D-86135 Augsburg<br />

In interacting one-dimensional (1D) metals conventional Fermi liquid<br />

behavior is expected to break down due to a dynamical decoupling of<br />

charge and spin degrees of freedom. Angle-resolved photoelectron spectroscopy<br />

(ARPES) on the electronic structure of the quasi-1D organic<br />

conductor TTF-TCNQ [1] indeed reveals significant discrepancies to<br />

band theory. Instead, the experimental spectra can be well explained<br />

by the 1D Hubbard model [2], which accounts for the intramolecular<br />

Coulomb interaction and predicts signatures of spin-charge separation<br />

over the entire conduction band width. The model description can even<br />

be made quantitative, if one accounts for an enhanced hopping integral<br />

at the surface related to a relaxation of the topmost molecular layer.<br />

The importance of strong 1D correlation effects is further supported by<br />

a remarkable temperature dependence of the ARPES data. These results<br />

provide strong spectroscopic evidence for the occurence of spin-charge<br />

separation in the finite energy physics of TTF-TCNQ. Deviations of the<br />

Hubbard model description for the low-energy spectral behavior is attributed<br />

to the neglect of interchain coupling, long-range Coulomb interaction<br />

and/or electron-phonon coupling.<br />

[1] R. Claessen et al., Phys. Rev. Lett. 88, 096402 (2002).<br />

[2] M. Sing et al., Phys. Rev. B 68, 125111 (2003).

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