Double-Dimeric Versus Tetrameric Cells for Quantum Cellular Automata: a Semiempirical Approach to Evaluation of Cell–Cell Responses Combined with Quantum-Chemical Modeling of Molecular Structures
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PALII, Andrew; ZILBERG, Shmuel; RYBAKOV, Andrey; TSUKERBLAT, Boris. Double-Dimeric Versus Tetrameric Cells for Quantum Cellular Automata: a Semiempirical Approach to Evaluation of Cell–Cell Responses Combined with Quantum-Chemical Modeling of Molecular Structures. In: Journal of Physical Chemistry C. 2019, nr. 36(123), pp. 22614-22623. ISSN -.
10.1021/acs.jpcc.9b05942
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Journal of Physical Chemistry C
Numărul 36(123) / 2019 / ISSN - /ISSNe 1932-7447

Double-Dimeric Versus Tetrameric Cells for Quantum Cellular Automata: a Semiempirical Approach to Evaluation of Cell–Cell Responses Combined with Quantum-Chemical Modeling of Molecular Structures


DOI: 10.1021/acs.jpcc.9b05942
Pag. 22614-22623

Palii Andrew12, Zilberg Shmuel3, Rybakov Andrey4, Tsukerblat Boris35
 
1 Institute of Problems of Chemical Physics, Russian Academy of Sciences,
2 Institute of Applied Physics,
3 Ariel University,
4 Moscow Institute of Physics and Technology,
5 Universitatea Ben-Gurion din Negev
 
Disponibil în IBN: 23 octombrie 2019


Rezumat

Quantum dot cellular automata is a computing paradigm based on transistor-free logic, which in turn relies on the idea of encoding binary information in bistable charge configurations of quantum dots and process information via Coulomb interactions. In the context of molecular implementation of quantum dot cellular automata, we have compared the properties of two possible kinds of molecular square cells, namely, cells tailored from two one-electron mixed valence dimers (double-dimeric cells) and a two-electron mixed valence tetramer. The physical model (based on the Hubbard-type Hamiltonian) of the cells involves the Coulomb interelectronic interaction, electron transfer, and vibronic coupling. We have demonstrated that the difference in the transfer pathways in the two types of cells gives rise to a considerable difference in their functional characteristics. Thus, the double-dimeric cell exhibits a more abrupt nonlinear cell-cell response, which is a prerequisite for the efficient functioning of quantum cellular automata. The difference in the cell-cell responses for the two kinds of cells is shown to be smaller for a weak electron transfer and/or strong vibronic coupling when the mobility of the electronic pair is strongly constrained. The dimeric and tetrameric systems, 1,4-dithia-hexane and crown ether 1,4,7,10-tetrathiacyclododecane, were selected as the molecular systems for the implementation of the proposed Hubbard-type analysis. This choice is prompted by the positive charge localization on the S-atoms, which are not connected covalently. We have performed the quantum-chemical calculations of the 1,4-dithia-compound with two S-atoms connected by a saturated carbon bridge CH2CH2 (proposed as a dimeric subunit) and the corresponding tetrameric structures of the crown ethers 1,4,7,10-tetrathiacyclododecane: parent neutral molecule, cation, and dication. The quantum-chemical estimations allowed us to quantitatively unveil the key parameters of the dimeric and tetrameric systems and to conclude that the proposed compounds can serve as cells with predominantly antipodal charge separation, which are potentially able to encode binary information.

Cuvinte-cheie
Cellular automata, Crown ethers, cytology, Dimers, Electron energy levels, Electron transitions, Encoding (symbols), Ethers, ligands, nanocrystals, Quantum chemistry, Semiconductor quantum dots