Regensburg 2004 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 10: Critical Phenomena

DY 10.6: Vortrag

Montag, 8. März 2004, 11:00–11:15, H2

Non-Equilibrium Relaxation method for the critical Analysis of the Hubbard Model — •Hans-Georg Matuttis¹ and Nobuyasu Ito² — ¹The University of Electrocommunications, Department of Mechanical and Control Engineering, Chofu Chofugaoka 1-5-1,Tokyo 182-8585,Japan — ²The University of Tokyo, Department of Applied Physics, 7-3-1 Hongo, Bunkyo-Ku, Tokyo 113-8565 Japan

The non-equilibrium relaxation (NER) analysis for critical phenomena goes back to work by M. Suzuki in the 1970’s. One can show that the relaxation from a non-equilibrium configuration (e.g. ordered state) to equilibrium (e.g. disordered state) does not only tell whether the temperature is below, above or at the critical temperature, but it is even possible to extract the critical exponents from the time series of the relaxation.

In recent years, the NER-method has been applied to the computational analysis of critical phenomena ranging from discrete over continous spin models, Kosterlitz-Thouless-Transisions and spin-glas models up to transitions in molecular dynamics systems. In this talk, the application of the NER-analysis to auxiliary field quantum Monte-Carlo simulations will be explained and results for the transition to the anti-ferromagnetic phase in the groundstate at halffilling will be presented.