A review of modeling interacting transient phenomena with non-equilibrium Green functions
- Authors
- Hirsbrunner, Mark R; Philip, Timothy M.; Basa, Bora; Kim, Youngseok; Park, Moon Jip; Gilbert, Matthew J
- Issue Date
- Apr-2019
- Publisher
- IOP Publishing Ltd
- Keywords
- non-equilibrium Green functions (NEGF); time-dependent transport; frequency-dependent transport; quantum transport
- Citation
- REPORTS ON PROGRESS IN PHYSICS, v.82, no.4, pp.1 - 47
- Indexed
- SCIE
SCOPUS
- Journal Title
- REPORTS ON PROGRESS IN PHYSICS
- Volume
- 82
- Number
- 4
- Start Page
- 1
- End Page
- 47
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/189455
- DOI
- 10.1088/1361-6633/aafe5f
- ISSN
- 0034-4885
- Abstract
- As experimental probes have matured to observe ultrafast transient and high frequency responses of materials and devices, so to have the theoretical methods to numerically and analytically simulate time-and frequency-resolved transport. In this review article, we discuss recent progress in the development of the time-dependent and frequency-dependent non-equilibrium Green function (NEGF) technique. We begin with an overview of the theoretical underpinnings of the underlying Kadanoff-Baym equations and derive the fundamental NEGF equations in the time and frequency domains. We discuss how these methods have been applied to a variety of condensed matter systems such as molecular electronics, nanoscale transistors, and superconductors. In addition, we survey the application of NEGF in fields beyond condensed matter, where it has been used to study thermalization in ultra-cold atoms and to understand leptogenesis in the early universe. Throughout, we pay special attention to the challenges of incorporating contacts and interactions, as the NEGF method is uniquely capable of accounting for such features.
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