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Abstracts

P1.8

Universal non-linear I-V at an impurity quantum critical point

Chung Chung-Hou(1), Baranger Harold(2), Lin Chao-Yun(1), Zhang Gu(2), Ke

Chung-Ting(2), and Finkelstein Gleb(2)

1) National Chiao-Tung University, Department of Electrophysics, 1001

University Rd., HsinChu, Taiwan, R.O.C. 300

2)Duke University, Department of Physics, Physics Bldg., Science Dr. Box 90305

Durham, NC 27708 USA

Universal non-linear I-V at an interacting quantum critical point (QCP) is

often out of reach theoretically. Here, however, we provide a striking example of

analytically accessible QCP in a spinless quantum dot coupled to Ohmic resistive

leads through a symmetrical double-barrier, realized in recent experiments. The

transmission approaches unity (on resonance) with a weak backscattering at low

temperature and applied bias when tuned exactly to the QCP. Drawing on the

dynamical Coulomb blockade theory via bosonization and re-fermionization, we

obtain analytically the full I-V curve, in excellent agreement with experiments.

P1.9

Optimized Jastrow correlations for a one dimensional periodic system

Panholzer Martin

Johannes Kepler University, Institute for Theoretical Physics, 4040 Linz

Jastrow correlations are a powerful tool to describe properties of strongly

correlated systems. Mostly these correlations are optimized within variational

Monte Carlo (VMC) calculations, especially for electronic systems. On the

other hand there are diagrammatic methods like Hyper Netted Chain (HNC)

summations, which are very successfully in describing Helium fluids. A drawback,

compared to VMC is the necessary approximation of elementary diagrams. This

is compensated by the lower numerical demand, the parameter free optimization

and the possibility to deal with excited states. The extension of the HNC-method

(and also the Fermion version FHNC) to periodic systems, i.e. a inhomogeneous

density with a certain period, is presented. Special emphasis is given to the

numerical feasibility of the approach. It is shown that by exploiting the symmetry

even realistic three dimensional problems can be treated. The result for a

inhomogeneous but periodic one dimensional electron gas is presented. As

starting point we use a sinusoidal density. With this approach we describe

the transition from a regime where the local density approximation (LDA) is a

good approximation to a regime where it fails. Finally an outlook is given to

possible applications e.g. electrons in solids, Helium adsorbed on surfaces and

metal-Mott insulator transition.

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