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Title: Localized diabatization applied to excitons in molecular crystals

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4986952· OSTI ID:1373202
ORCiD logo [1];  [2]
  1. Univ. of Pennsylvania, Philadelphia, PA (United States)
  2. Univ. of Pennsylvania, Philadelphia, PA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)

Traditional ab initio electronic structure calculations of periodic systems yield delocalized eigenstates that should be understood as adiabatic states. For example, excitons are bands of extended states which superimpose localized excitations on every lattice site. However, in general, in order to study the effects of nuclear motion on exciton transport, it is standard to work with a localized description of excitons, especially in a hopping regime; even in a band regime, a localized description can be helpful. To extract localized excitons from a band requires essentially a diabatization procedure. In this paper, three distinct methods are proposed for such localized diabatization: (i) a simple projection method, (ii) a more general Pipek-Mezey localization scheme, and (iii) a variant of Boys diabatization. Approaches (i) and (ii) require localized, single-particle Wannier orbitals, while approach (iii) has no such dependence. Lastly, these methods should be very useful for studying energy transfer through solids with ab initio calculations.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC02-76SF00515; FA9950-13-1-0157
OSTI ID:
1373202
Journal Information:
Journal of Chemical Physics, Vol. 146, Issue 24; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

References (51)

Fragment charge difference method for estimating donor–acceptor electronic coupling: Application to DNA π-stacks journal September 2002
The Requisite Electronic Structure Theory To Describe Photoexcited Nonadiabatic Dynamics: Nonadiabatic Derivative Couplings and Diabatic Electronic Couplings journal May 2015
Approximately diabatic states from block diagonalization of the electronic Hamiltonian journal December 1988
Localized molecular orbitals for polyatomic molecules. I. A comparison of the Edmiston‐Ruedenberg and Boys localization methods journal November 1974
Constructing diabatic representations using adiabatic and approximate diabatic data – Coping with diabolical singularities journal January 2016
Exciton Band Structure in Two-Dimensional Materials journal February 2016
Studies of polaron motion journal November 1959
Time-Dependent Density-Functional Theory book January 1990
A quantum chemical determination of diabatic states journal September 1993
Plasmons in Molecules journal January 2013
Fitting coupled potential energy surfaces for large systems: Method and construction of a 3-state representation for phenol photodissociation in the full 33 internal degrees of freedom using multireference configuration interaction determined data journal January 2014
Calculation of electronic coupling matrix elements for ground and excited state electron transfer reactions: Comparison of the generalized Mulliken–Hush and block diagonalization methods journal June 1997
Adiabatic time-dependent density functional methods for excited state properties journal October 2002
Excited-State Properties of Molecular Solids from First Principles journal May 2016
Theory and Applications of Generalized Pipek–Mezey Wannier Functions journal January 2017
Canonical Configurational Interaction Procedure journal April 1960
Analysis of Electronic Transitions as the Difference of Electron Attachment and Detachment Densities journal September 1995
Predicting Accurate Electronic Excitation Transfer Rates via Marcus Theory with Boys or Edmiston−Ruedenberg Localized Diabatization journal August 2010
Low-Energy Charge-Transfer Excitons in Organic Solids from First-Principles: The Case of Pentacene journal June 2013
The Electronic Couplings in Electron Transfer and Excitation Energy Transfer journal April 2009
Direct diabatization of electronic states by the fourfold way. II. Dynamical correlation and rearrangement processes journal September 2002
On the adiabatic to diabatic states transformation in the presence of a conical intersection: A most diabatic basis from the solution to a Poisson’s equation. I journal July 1998
Electronic non-adiabatic transitions derivation of the general adiabatic-diabatic transformation matrix journal July 1980
A unified theory for charge-carrier transport in organic crystals journal March 2008
Fragment transition density method to calculate electronic coupling for excitation energy transfer journal June 2014
Adiabatic and diabatic representations for atom-molecule collisions: Treatment of the collinear arrangement journal August 1975
Modelling charge transfer reactions with the frozen density embedding formalism journal December 2011
Constructing diabatic states from adiabatic states: Extending generalized Mulliken–Hush to multiple charge centers with Boys localization journal December 2008
Determination of diabatic states through enforcement of configurational uniformity
  • Atchity, Gregory J.; Ruedenberg, Klaus
  • Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta), Vol. 97, Issue 1-4 https://doi.org/10.1007/s002140050236
journal October 1997
Analytical results for semiconductor quantum-well wire: Plasmons, shallow impurity states, and mobility journal April 1990
Frozen Density Functional Free Energy Simulations of Redox Proteins:  Computational Studies of the Reduction Potential of Plastocyanin and Rusticyanin journal April 2003
Extension of the fourfold way for calculation of global diabatic potential energy surfaces of complex, multiarrangement, non-Born–Oppenheimer systems: Application to HNCO(S0,S1) journal April 2003
Generalization of the Mulliken-Hush treatment for the calculation of electron transfer matrix elements journal January 1996
The mediated excitation energy transfer: Effects of bridge polarizability journal August 2008
Formalisms of Band Theory book January 1962
Frozen density functional approach for ab initio calculations of solvated molecules journal July 1993
Beyond Förster Resonance Energy Transfer in Biological and Nanoscale Systems journal May 2009
On the Construction of Diabatic Bases Using Molecular Properties. Rigorous Results in the Vicinity of a Conical Intersection journal October 1998
The initial and final states of electron and energy transfer processes: Diabatization as motivated by system-solvent interactions journal June 2009
Density-Functional Theory for Time-Dependent Systems journal March 1984
The merits of the frozen-density embedding scheme to model solvatochromic shifts journal March 2005
The direct calculation of diabatic states based on configurational uniformity journal January 2001
Characterization of the Short-Range Couplings in Excitation Energy Transfer journal January 2008
Time-Dependent Density-Functional Theory book December 2011
Studies of Polaron Motion journal April 2000
Maximally localized Wannier functions: Theory and applications text January 2011
Solid-state optical absorption from optimally-tuned time-dependent range-separated hybrid density functional theory text January 2015
Exciton band structure in two-dimensional materials text January 2015
Theory and applications of generalized Pipek--Mezey Wannier functions text January 2016
Maximally-localized Wannier functions for entangled energy bands text January 2001
Excitonic effects in solids described by time-dependent density functional theory text January 2001

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Diabatic Hamiltonian construction in van der Waals heterostructure complexes journal January 2019
Diabatic Hamiltonian Construction in van der Waals heterostructure complexes preprint January 2019

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