Bulletin of the American Physical Society
2024 APS March Meeting
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session N14: Quantum Quenches and Heat Transport
11:30 AM–2:18 PM,
Wednesday, March 6, 2024
Room: M100E
Sponsoring
Unit:
DCMP
Chair: Mihir Pendharkar, Stanford University
Abstract: N14.00002 : Non Equilibrium Green's Function Approach for Modeling Carbon Nanotube Devices*
11:42 AM–11:54 AM
Presenter:
Pranav Vaidhyanathan
(University of Oxford)
Authors:
Pranav Vaidhyanathan
(University of Oxford)
Natalia Ares
(University of Oxford)
Kushagra Aggarwal
(University of Oxford)
Mark T Mitchison
(Trinity College Dublin)
Juliette Monsel
(Chalmers University of Technology)
Our approach innovatively addresses these challenges through the use of non-equilibrium Green's function (NEGF) formalism coupled with perturbation theory. Specifically, the lifetime broadening is encapsulated within the retarded Green's function by integrating energy-dependent self-energies, that account for strong coupling with source and drain Fermi reservoirs. Coulomb interactions are systematically included via additional self-energy terms thereby capturing electron-electron interactions. The mechanical motion of the CNT is modeled, introducing an explicit displacement-dependent term that enables us to derive equations for effective resonance frequencies.
The framework is mathematically rigorous and allows for the derivation of the spectral function for the density of available electronic states and current flowing through the device.
By meticulously incorporating lifetime broadening, Coulomb interactions, mechanical displacements, and out of equilibrium effects, our theoretical construct provides a robust and comprehensive approach to analyze the transport phenomena in NEMS, laying the groundwork for future experimental validations and technological applications.
*This research was supported by Grant Number FQXi-IAF19-01 from the Foundational Questions Institute Fund, a donor advised fund of Silicon Valley Community Foundation. PV is supported by the NSA-LPS QuaCR fellowship.
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