Seminars & Lectures
| * TITLE | [APCTP JRG Lecture] Continuous-Time Monte Carlo Simulation of Quantum Impurity Models | ||||||
|---|---|---|---|---|---|---|---|
| * SPEAKERS | |||||||
|
|||||||
| * HOST(Applicant) | |||||||
|
|||||||
| * DATE / TIME | 2010-03-30, 1:45pm-2:30pm | ||||||
| * PLACE | APCTP Headquarters, POSTECH, Pohang, Korea | ||||||
| * ABSTRACT | |||||||
| Quantum impurity models play a prominent role in nano-science as representations of quantum dots or molecular conductors. Over the past 20 years, they have gained another important role as auxiliary problems, whose solution gives the ``dynamical mean field approximation\" to correlated lattice problems. While many numerical approaches have been developed to study quantum impurity models, a particularly powerful and versatile method is the continuous-time Monte Carlo technique, which is based on the stochastic sampling of collections of diagrams. I propose to give two lectures on this topic. In the first lecture, I will briefly review the Monte Carlo technique and discuss the implementation of the ``weak-coupling\" solver [1,2]. In the second lecture, I would like to explain the complementary ``strong-coupling\" approach [3,4] and, if time permits, show how the methods can be implemented on a Keldysh-contour [5]. The Keldysh-version allows to study transport through quantum dots, and (within ``nonequilibrium dynamical mean field theory\") the relaxation dynamics of correlated electron materials. [1] A. Rubtsov, V. Savkin, A. Lichtenstein, PRB 72, 35122 (2005) [2] E. Gull, P. Werner, O. Parcollet, M. Troyer, Europhys. Lett. 82, 57003 (2008) [3] P. Werner, A. Comanac, L. de Medici, M. Troyer, A. J. Millis, PRL 97, 76405 (2006) [4] P. Werner and A. J. Millis, PRB 74, 155107 (2006) [5] P. Werner, T. Oka, A. J. Millis, PRB 79, 035320 (2009) |
|||||||
