DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Methods to Calculate Electronic Excited-State Dynamics for Molecules on Large Metal Clusters with Many States: Ensuring Fast Overlap Calculations and a Robust Choice of Phase

Journal Article · · Journal of Chemical Theory and Computation

Here, we present an efficient set of methods for propagating excited-state dynamics involving a large number of configuration interaction singles (CIS) or Tamm-Dancoff approximation (TDA) single-reference excited states. Specifically, (i) following Head-Gordon et al., we implement an exact evaluation of the overlap of singly-excited CIS/TDA electronic states at different nuclear geometries using a biorthogonal basis and (ii) we employ a unified protocol for choosing the correct phase for each adiabat at each geometry. For many-electron systems, the combination of these techniques significantly reduces the computational cost of integrating the electronic Schrodinger equation and imposes minimal overhead on top of the underlying electronic structure calculation. As a demonstration, we calculate the electronic excited-state dynamics for a hydrogen molecule scattering off a silver metal cluster, focusing on high-lying excited states, where many electrons can be excited collectively and crossings are plentiful. Interestingly, we find that the high-lying, plasmon-like collective excitation spectrum changes with nuclear dynamics, highlighting the need to simulate non-adiabatic nuclear dynamics and plasmonic excitations simultaneously. In the future, the combination of methods presented here should help theorists build a mechanistic understanding of plasmon-assisted charge transfer and excitation energy relaxation processes near a nanoparticle or metal surface.

Research Organization:
University of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)
Grant/Contract Number:
AC02-05CH11231; SC0019397
OSTI ID:
2510466
Journal Information:
Journal of Chemical Theory and Computation, Journal Name: Journal of Chemical Theory and Computation Journal Issue: 6 Vol. 18; ISSN 1549-9618
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (37)

Size-consistent wave functions for bond-breaking: the equation-of-motion spin-flip model journal April 2001
New Basis Set Exchange: An Open, Up-to-Date Resource for the Molecular Sciences Community journal October 2019
First Principles Nonadiabatic Excited-State Molecular Dynamics in NWChem journal August 2020
Nonadiabatic Dynamics at Metal Surfaces: Fewest Switches Surface Hopping with Electronic Relaxation journal January 2021
Efficient and Flexible Computation of Many-Electron Wave Function Overlaps journal February 2016
An Efficient, Augmented Surface Hopping Algorithm That Includes Decoherence for Use in Large-Scale Simulations journal October 2016
Highly Efficient Algorithms for CIS Type Excited State Wave Function Overlaps journal April 2019
A Robust and Unified Solution for Choosing the Phases of Adiabatic States as a Function of Geometry: Extending Parallel Transport Concepts to the Cases of Trivial and Near-Trivial Crossings journal December 2019
A Simple Phase Correction Makes a Big Difference in Nonadiabatic Molecular Dynamics journal September 2018
SHARC: ab Initio Molecular Dynamics with Surface Hopping in the Adiabatic Representation Including Arbitrary Couplings journal March 2011
The PYXAID Program for Non-Adiabatic Molecular Dynamics in Condensed Matter Systems journal October 2013
Mechanistic Insights into Photocatalyzed H 2 Dissociation on Au Clusters journal July 2020
Multiphoton Scanning Photoionization Imaging Microscopy for Single-Particle Studies of Plasmonic Metal Nanostructures journal December 2010
From Discrete Electronic States to Plasmons: TDDFT Optical Absorption Properties of Ag n ( n = 10, 20, 35, 56, 84, 120) Tetrahedral Clusters journal July 2008
A Simple Solution to the Trivial Crossing Problem in Surface Hopping journal January 2014
Evaluation of the Time-Derivative Coupling for Accurate Electronic State Transition Probabilities from Numerical Simulations journal June 2014
Hot Electrons Do the Impossible: Plasmon-Induced Dissociation of H 2 on Au journal December 2012
Photoreduction at a Distance: Facile, Nonlocal Photoreduction of Ag Ions in Solution by Plasmon-Mediated Photoemitted Electrons journal April 2010
Polarization-Dependent Scanning Photoionization Microscopy: Ultrafast Plasmon-Mediated Electron Ejection Dynamics in Single Au Nanorods journal April 2011
Evidence and implications of direct charge excitation as the dominant mechanism in plasmon-mediated photocatalysis journal January 2016
Direct semiclassical simulation of photochemical processes with semiempirical wave functions journal June 2001
The spin–flip approach within time-dependent density functional theory: Theory and applications to diradicals journal March 2003
Molecular dynamics with electronic transitions journal July 1990
Proton transfer in solution: Molecular dynamics with quantum transitions journal September 1994
Identification of unavoided crossings in nonadiabatic photoexcited dynamics involving multiple electronic states in polyatomic conjugated molecules journal July 2012
Shifted-contour auxiliary-field Monte Carlo for molecular electronic structure journal November 1998
Non-orthogonal configuration interaction for the calculation of multielectron excited states journal March 2014
Derivative couplings between TDDFT excited states obtained by direct differentiation in the Tamm-Dancoff approximation journal July 2014
A broadened classical master equation approach for nonadiabatic dynamics at metal surfaces: Beyond the weak molecule-metal coupling limit journal January 2016
Decoherence-corrected Ehrenfest molecular dynamics on many electronic states journal September 2020
Generalized nonorthogonal matrix elements: Unifying Wick’s theorem and the Slater–Condon rules journal April 2021
Software for the frontiers of quantum chemistry: An overview of developments in the Q-Chem 5 package journal August 2021
The biorthogonal method for optimizing modern valence bond wavefunction journal March 1998
Fundamental mechanisms for molecular energy conversion and chemical reactions at surfaces journal August 2019
Vibrational Promotion of Electron Transfer journal October 2000
Efficient hot-electron transfer by a plasmon-induced interfacial charge-transfer transition journal August 2015
Hot Charge Carrier Transmission from Plasmonic Nanostructures journal May 2017