Dresden 2017 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 62: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems 1

TT 62.3: Vortrag

Donnerstag, 23. März 2017, 10:00–10:15, HSZ 304

An impurity solver for nonequilibrium dynamical mean field theory based on hierarchical quantum master equations — •Rainer Härtle¹ and Andrew J. Millis² — ¹Institut für Theoretische Physik, Georg-August-Universität Göttingen, Germany — ²Department of Physics, Columbia University, New York, USA

We present a new impurity solver for real-time and nonequilibrium dynamical mean field theory applications, based on the recently developed hierarchical quantum master equation approach [1,2]. Our method combines a hybridization expansion of the time evolution operator, with an advanced, systematic truncation scheme [2]. Convergence to exact results for not too low temperatures has been demonstrated by a direct comparison to quantum Monte Carlo simulations [3]. The approach is time-local and does not require evolution from an uncorrelated initial condition, giving access to nonequilibrium steady states and to slow dynamics such as occur, e.g., in the presence of magnetic fields or exchange interactions [3–5]. Here, we present first results of this new scheme for the description of strongly correlated materials in the framework of dynamical mean field theory.

[1] Jin et al., JCP 128, 234703 (2008)

[2] Härtle et al., PRB 88, 235426 (2013)

[3] Härtle et al., PRB 92, 085430 (2015)

[4] Härtle et al., PRB 90, 245426 (2014)

[5] Wenderoth et al., PRB 94, 121303R (2016)