# Gauge-invariant and current-continuous microscopic ac quantum transport theory

@article{Zhang2013GaugeinvariantAC, title={Gauge-invariant and current-continuous microscopic ac quantum transport theory}, author={JianQiao Zhang and Zhenyu Yin and Xiao Zheng and Chiyung Yam and Guanhua Chen}, journal={The European Physical Journal B}, year={2013}, volume={86}, pages={1-5} }

There had been consensus on what the accurate ac quantum transport theory was until some recent works challenged the conventional wisdom. Basing on the non-equilibrium Green’s function formalism for time-dependent quantum transport, we derive an expression for the dynamic admittance that satisfies gauge invariance and current continuity, and clarify the key concept in the field. The validity of our new formalism is verified by first-principles calculation of the transient current through a…

## 5 Citations

### Theory of AC quantum transport with fully electrodynamic coupling

- Physics
- 2018

With the continued scaling of microelectronic devices along with the growing demand of high-speed wireless telecommunications technologies, there is increasing need for high-frequency device modeling…

### A multiscale quantum mechanics/electromagnetics method for device simulations.

- PhysicsChemical Society reviews
- 2015

This tutorial review describes a newly developed multiscale computational method, incorporating quantum mechanics into electronic device modeling with the electromagnetic environment included through classical electrodynamics.

### A review of modeling interacting transient phenomena with non-equilibrium Green functions

- PhysicsReports on progress in physics. Physical Society
- 2019

This review article discusses recent progress in the development of the time-dependent and frequency-dependent non-equilibrium Green function (NEGF) technique and discusses how these methods have been applied to a variety of condensed matter systems such as molecular electronics, nanoscale transistors, and superconductors.

### Frequency-domain multiscale quantum mechanics/electromagnetics simulation method.

- Physics, ChemistryThe Journal of chemical physics
- 2013

A frequency-domain quantum mechanics and electromagnetics (QM∕EM) method is developed. Compared with the time-domain QM/EM method [Meng et al., J. Chem. Theory Comput. 8, 1190-1199 (2012)], the newly…

### High-performance nanoscale topological energy transduction

- PhysicsScientific Reports
- 2017

This work presents a novel method for magnetic energy transduction that utilizes ferromagnetic islands on the surface of a 3D time-reversal-invariant topological insulator (TI) to produce paradigmatically different inductors, thus harnessing the unique properties of topological materials for practical device applications.

## References

SHOWING 1-10 OF 35 REFERENCES

### Current conserving nonequilibrium ac transport theory

- Physics
- 2009

We develop a microscopic theory for ac transport using nonequilibrium Green's-function theory. By including the self-consistent Coulomb interaction, the current conserving and gauge-invariant…

### Dynamic conductance and quantum noise in mesoscopic conductors

- Physics
- 1996

We present results for the dc conductance, the ac conductance, and the current–current fluctuation spectra of mesoscopic, phase‐coherent conductors based on a second quantization approach to…

### Relation between scattering-matrix and Keldysh formalisms for quantum transport driven by time-periodic fields

- Physics
- 2006

We present the relation between the Floquet scattering matrix and the nonequilibrium Green's function formalisms to transport theory in noninteracting electronic systems in contact to reservoirs and…

### Current Partition: A Nonequilibrium Green's Function Approach

- Physics
- 1999

We present a solution to the problem of AC current partition in a multi-probe mesoscopic conductor within the nonequilibrium Green's function formalism. This allows the derivation of dynamic…

### Ab initio modeling of quantum transport properties of molecular electronic devices

- Physics
- 2001

We report on a self-consistent ab initio technique for modeling quantum transport properties of atomic and molecular scale nanoelectronic devices under external bias potentials. The technique is…

### Transient electronic dynamics of noninteracting open systems beyond linear response

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2009

We present analytical results on the transient current response of noninteracting open electronic systems under time-dependent external voltages in both linear- and nonlinear-response regimes. The…

### Time-dependent density-functional theory for open systems

- Physics
- 2007

With our proof of the holographic electron density theorem for time-dependent systems, a first-principles method for any open electronic system is established. By introducing the self-energy density…

### Time-dependent transport in interacting and noninteracting resonant-tunneling systems.

- PhysicsPhysical review. B, Condensed matter
- 1994

Analytical and numerical results for the exactly solvable noninteracting resonant-tunneling system are presented, and a connection to recent linear-response calculations, and to earlier studies of electron-phonon scattering effects in resonant tunneling is established.

### First-principles based matrix Green's function approach to molecular electronic devices: general formalism

- Chemistry
- 2002

### INTERACTION CONSTANTS AND DYNAMIC CONDUCTANCE OF A GATED WIRE

- Physics
- 1998

We show that the interaction constant governing the long-range electron-electron interaction in a quantum wire coupled to two reservoirs and capacitively coupled to a gate can be determined by a…