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Tiefe Temperaturen Dienstag<br />

TT 10 FV-internes Symposium ”Quantum Phase Transitions”<br />

Zeit: Dienstag 10:00–12:55 Raum: H18<br />

Hauptvortrag TT 10.1 Di 10:00 H18<br />

Local quantum criticality and non-Fermi liquid properties —<br />

•Qimiao Si — Dept of Physics and Astronomy, Rice University, Houston,<br />

USA<br />

Quantum criticality not only provides a mechanism for non-Fermi liquid<br />

behavior, it also seems to control large regions of the phase diagram<br />

in strongly correlated electrons. This talk will be devoted to issues that<br />

have originated from quantum critical heavy fermions.I will describe some<br />

recent developments on local quantum criticality. Recent progresses have<br />

been made, within a Kondo lattice model that is amenable to controlled<br />

calculations. Extensive experimental results that pertain to this picture<br />

have also been emerging, including inelastic neutron scattering, NMR,<br />

Hall coefficient, and Grueneisen ratio. The summary of these results will<br />

be followed by some discussions about their broader implications.<br />

Fachvortrag TT 10.2 Di 10:35 H18<br />

Singular Behavior Near a Quantum Critical Point:<br />

YbRh2(Si,Ge)2 — •P. Gegenwart — Max-Planck-Institut<br />

für Chemische Physik fester Stoffe, 01187 Dresden<br />

By discussing resistive, calorimetric, dilatometric and ESR data on<br />

YbRh2(Si1−xGex)2 with 0 ≤ x < 0.05 we argue that these materials represent<br />

systems exhibiting a qualitatively new class of quantum critical<br />

point that cannot be described by the frequently adopted itinerant (3D<br />

or 2D) spin-density-wave scenario. Upon approaching the quantum critical<br />

point we observe large (“unscreened”, i.e., not reduced by the Kondo<br />

effect) magnetic Yb 3+ moments in the static bulk susceptibility and recently<br />

in ESR, disparate behavior in the T-dependences of the electrical<br />

resistivity and the electronic specific heat as well as a fractional scaling<br />

exponent in the T-dependence of the thermal expansion. These findings<br />

seem to be compatible with a local-moment scenario for the quantum<br />

critical point.<br />

In collaboration with J. Custers, J. Ferstl, C. Geibel, R. Küchler,<br />

T. Lühmann, K. Neumaier, S. Paschen, J. Sichelschmidt, G. Sparn, F.<br />

Steglich, Y. Tokiwa, H. Wilhelm, S. Wirth, P. Coleman, C. Pepin, and<br />

Q. Si.<br />

Fachvortrag TT 10.3 Di 11:05 H18<br />

Non-Fermi-Liquid Phase of a Pure Itinerant-Electron Magnet<br />

— •C. Pfleiderer — Physikalisches Institut, Universität Karlsruhe,<br />

D-76128 Karlsuhe<br />

Extensive studies of the itinerant-electron magnetism in the cubic transition<br />

metal compound MnSi as function of pressure are reviewed, that<br />

suggest a distinct transition from a weakly spin polarized Fermi liquid<br />

ground state to a non-Fermi liquid (NFL) phase of exceptional stability<br />

above pc = 14.6kbar [1,2]. In a recent neutron diffraction experiment [3]<br />

sizable quasi-static magnetic moments have been found to exist far into<br />

this NFL phase. These moments are organized in a highly unusual pattern<br />

never seen before, yielding Bragg intensity on the surface of a tiny<br />

sphere in reciprocal space implying partial order. The properties of MnSi<br />

shed new light on the possible nature of inconsistencies of the metallic<br />

state near magnetic quantum phase transitions observed in numerous<br />

itinerant-electron magnets. In particular, they support the genuine<br />

existence of metallic phases with partial order of the conduction elec-<br />

trons, that are reminiscent of liquid crystals, as proposed for the high-Tc<br />

cuprates and heavy-fermion compounds.<br />

[1] C. Pfleiderer et al., Nature 414 (2001) 427.<br />

[2] N. Doiron-Leyraud et al. Nature 425 (2003) 595.<br />

[3] C. Pfleiderer et al., Nature in print.<br />

*in collaboration with J. Flouquet, M. Garst, S. R. Julian, H. v.<br />

Löhneysen, G. G. Lonzarich, L. Pintschovius, D. Reznik, A. Rosch, A.<br />

N. Stepanov, C. Thessieu and M. Uhlarz.<br />

11:35 Pause<br />

Fachvortrag TT 10.4 Di 11:50 H18<br />

Monte Carlo simulations of quantum phase transitions in dissipative<br />

systems and ultra-cold atoms — •Matthias Troyer 1,2 ,<br />

Philipp Werner 1 , Klaus Völker 3 , Fabien Alet 1,2 , Stefan Wessel<br />

1 , and George G. Batrouni 4 — 1 Theoretische Physik, ETH zürich<br />

— 2 Computational Laboratory, ETH Zürich — 3 University of Toronto<br />

— 4 Université de Nice<br />

The past decade has seen tremendous progress in quantum Monte<br />

Carlo algorithms. Advanced classical simulation techniques have been<br />

generalized to quantum system and further refined. This enables simulations<br />

with an unprecedented accuracy, allowing precise investigations<br />

of quantum phase transitions. Here we will focus on some recent results.<br />

The first part of the talk will be about the effect of dissipation on<br />

quantum phase transitions. While in classical simulations dynamics and<br />

thermodynamics are decoupled and dissipation thus has no influence on<br />

the universality class, the dynamics and thermodynamics are intrinsically<br />

coupled in a quantum system and can change the nature of the phase<br />

transition. We will present recent results on the phase diagrams and the<br />

critical behavior of dissipative quantum Ising models in a transverse field<br />

and preliminary results on quantum XY models. The second part of the<br />

talk will be on effects of constrained geometries, as they are created by<br />

an optical or magnetic trap on an ultra-cold atomic gas. We will demonstrate,<br />

that, the constrained geometry and the inhomogeneity of the trap<br />

lead to an absence of quantum critical behavior at the quantum phase<br />

transition in these systems. This explains the absence of critical slowing<br />

down in recent experiments,<br />

Fachvortrag TT 10.5 Di 12:25 H18<br />

Numerical Renormalization Group for Bosons and Fermions:<br />

Impurity Quantum Phase Transitions — •Ralf Bulla — Theoretische<br />

Physik III, Universität Augsburg<br />

Wilson’s numerical renormalization group (NRG) has been very successful<br />

in describing magnetic impurities in a fermionic bath. Here we<br />

review some recent results on quantum phase transitions of impurity<br />

models in a general environment, including examples of local criticality.<br />

In this context, we present the generalization of the NRG to models<br />

where the impurity couples to a bosonic bath. Application of the bosonic<br />

NRG to the subohmic spin-boson model reveals a line of quantum critical<br />

points terminating in the Kosterlitz-Thouless transition for the ohmic<br />

case. Further extensions of this approach (such as the investigation of the<br />

Bose-Fermi Kondo model within the extended DMFT) are discussed.<br />

TT 11 Nanoelektronik I: Quantenpunkte, -drähte, -punktkontakte<br />

Zeit: Dienstag 09:30–13:00 Raum: H19<br />

TT 11.1 Di 09:30 H19<br />

Single-electron effects and quantum fluctuations in metallic<br />

multi-island geometries — •Björn Kubala 1,2 , Göran Johansson<br />

2 , and Jürgen König 1 — 1 Institut für Theoretische Physik III,<br />

Ruhr-Universität Bochum, D-44780 Bochum — 2 Institut für Theoretische<br />

Festkörperphysik, Universität Karlsruhe, D-76128 Karlsruhe<br />

We have developed a method to model electron transport through a<br />

complex network of single-electron transistors.<br />

Based on a real-time transport theory [1], we automatically generate<br />

all diagrams up to second order in tunnel coupling and calculate their<br />

contributions to the current. This captures quantum fluctuations and<br />

multi-channel Kondo physics for each island as well as the mutual influence<br />

of tunneling effects on two neighbouring islands. The latter is<br />

essential for a detailed analysis of recent experiments [2], where an SET,<br />

capacitively coupled to a single electron box, was used as a sensitive<br />

electrometer, measuring the charge state of the box. Here the backaction<br />

between measurement device (SET) and system (box) is fully included<br />

in our approach.<br />

We will discuss the applicability of our method to different experimental<br />

setups of metallic islands, coupled capacitively and/or by tunneling<br />

barriers, and possible generalizations to the case of magnetic or superconducting<br />

leads.<br />

[1] H. Schoeller and G. Schön, Phys. Rev. B 50, 18 436 (1994); J. König,

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