We employ the Holstein model for polarons to investigate the relationship among defects, topology, Coulomb trapping, and polaron delocalization in covalent organic frameworks (COFs). We find that intra-sheet topological connectivity and π-column density can override disorder-induced deep traps and significantly enhance polaron migration by several orders of magnitude in good agreement with recent experimental observations. The combination of percolation networks and micropores makes trigonal COFs ideally suited for charge transport followed by kagome/tetragonal, and hexagonal structures. By comparing the polaron spectral signatures and coherence numbers of large 3D frameworks having a maximum of 180 coupled chromophores, we show that controlling nanoscale defects and the location of the counter anion is critical for the design of new COF-based materials yielding higher mobilities. Our analysis establishes design strategies for enhanced conductivity in COFs which can be readily generalized to other classes of conductive materials such as metal-organic frameworks and perovskites.
Graphical TOC Entry 2Since their inception in 2016, 1,2 sp 2 -carbon conjugated covalent organic frameworks (COFs) have witnessed a rapid surge in research interest, mainly driven by potential applications of these materials in optoelectronics, spintronics, chemical sensors, solar cells, and energy storage. [3][4][5][6][7][8][9][10][11][12][13][14] Most of these applications require a fundamental understanding of the underlying charge transport physics and structure-property-composition relationship for the design and processing of new materials. Due to their high crystallinity, two-dimensional (2D) πelectronic communication, and topological networks, sp 2 carbon-conjugated COFs provide more efficient migration of both electrons and holes than COFs based on other linkages. 15 Unraveling how the complex interplay between electron-phonon coupling, defects, topology, and Coulomb trapping impacts nanoscale coherence and bulk mobility/conductivity remains elusive. 16 Topology-dependent exciton and hole migration was recently investigated thanks to the designed synthesis of sp 2 carbon-conjugated COFs with different topologies which were found to display high hole mobility. 5,9 Despite the specific topological connectivity in a given COF has been shown, experimentally, to play a key role in determining the intrinsic charge transport properties of the framework, the number of theoretical studies aimed at characterizing the effects of the conjugated networks on polaron delocalization and photophysics of COFs is limited.The infrared absorption spectrum of polarons in 2D COFs displays two distinct peaks, A and B. 17,18 Theoretically, the red shift of peak B and the increase in the A/B peak ratio was associated with enhanced polaron coherence. 17 Upon chemical doping with iodine, it was found that the absorption spectrum of TANG-COF, a (aza)triangulene-based COF, displays a blue-shifted peak B (at ∼1 eV), and a low-energy peak A centered at ∼0.15...