Single molecule logic gates
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1 Single molecule logic gates Mohamed Hliwa Hassan II University Casablanca-Morroco AtMol International Workshop on Architecture and Design of Molecule Logic Gates and Atom Circuits January Barcelona-Spain
2 Outline Solid state diode based logic functions Examples of Molecule-Circuit Intramolecular node and mesh circuit laws N-electrode Elastic Scattering Quantum Chemistry technique Molecular conductance Diode based a single molecule logic gate : OR, AND Tunnel inelastic effect : an example of a current tranducer An XOR-molecule logic gate An OR-molecule logic gate whith no rectifier Balancing a Wheatstone Bridge
3 Diode based electronic circuits
4 Elementary logic functions
5 1-bit 2-input digital half adder S = A.B + A.B = A B C = A. B A B C S
6
7 Molecular Circuits
8 J. C. Ellenbogen and J. C. Love, Proc. IEEE 88 (2000) 386 Mitre, 2000
9 Example of one bit a molecular half adder XOR AND gate gate
10 Intramolecular node and mesh circuit laws
11 Serial association of 2 molecular wires G2 G1 G = k G1.G2 M. Magoga and C. Joachim Phys. Rev. B 59 (1999) 16011
12 Paralel association of 2 molecular wires G2 G1 G = G1 + G2 M. Magoga and C. Joachim Phys. Rev. B 59 (1999) 16011
13 Molecular wires association forming a single molecule With 1 intramolecular nodes G = k gl.(g1+g2) Phys. Rev. B, 59, (1999)
14 Molecular wires association forming a single molecule With 1 intramolecular nodes G = k gl.(g1+g2) Phys. Rev. B, 59, (1999) P
15 Molecular wires association forming a single molecule With 2 intramolecular nodes (and 1 mesh) G1 G2 G = G1 + G2 + 2 (G1. G2)1/2 Phys. Rev. B, 59, (1999)
16 N-electrode Elastic Scattering Quantum Chemistry technique (N-ESQC)
17 N-ESQC Intramolecular electronic circuit simulator Chem. Phys. Lett. 367 (2002) 662
18 Molecular wires conductance
19 Serial association of 2 molecular wires G2 G1 G = k G1.G2 M. Magoga and C. Joachim Phys. Rev. B 59 (1999) 16011
20 Organic molecular wires G=G0exp(-γL) M. Magoga and C. Joachim; Phys. Rev. B (1999ç
21 L. Grill, C. Joachim et al., Science 2009
22
23 G=G0exp(-γL)
24 L
25
26 Diode based single molecule logic gates
27 Chem. Phys. Lett. 29 (1974) 175 Proc. IEEE 88 (2000) 386
28 Diode : Frontier Molecular Orbitals
29 Mono-molecular logic gate models J. C. Ellenbogen and J. C. Love, Proc. IEEE 88 (2000) 386
30 Examples of elementary logic gates
31 An OR mono-molecular logic gate Chem. Phys. Lett. 367 (2002) 662
32 An AND mono-molecular logic gate Chem. Phys. Lett. 367 (2002) 662
33
34 Anti-resonance peaks : Use the interference effects
35 OR logic gate with no rectifier
36 OR-molecule logic gate Involving interference effects Chem. Phys. Lett. 470 (2009) 275
37 Tunnel inelastic effects Current transduction effect
38 3-terminal transducer device heat
39 3-terminal transducer device 7 kcal/mol 2 kcal/mol Keq = 4.61 N m-1 S. Ami, M. Hliwa, C. Joachim, Chem. Phys. Lett. 425 (2006) 356
40 Mono-molecular amperometer FMO structures
41 Elastic tunnelling electron transmission spectra Log{T(E,Θ)} at E =EF = 10.8 ev
42 XOR logic gate : Inelastic force
43 Current transduction effect
44 Mono-molecular amperometer S. Ami, M. Hliwa, C. Joachim Chem. Phys. Lett. 425 (2006) 356
45 A mono-molecular XOR logic gate N. Jlidat, M. Hliwa and C. Joachim ; Chem. Phys. Lett. 451 (2008) 270.
46 FMO structures
47 Mechanical and electrical characteristics
48 XOR-Molecule logic surface
49 Molecular wires association forming a single molecule With 2 intramolecular nodes (and 1 mesh) G1 G2 G = G1 + G2 + 2 (G1. G2)1/2 Phys. Rev. B, 59, (1999)
50 Balancing a Wheatstone bridge
51 Four-branch Wheatstone bridge (b) T. Ondarçuhu et al., Rev. Sci. Instrum 71 (2000) 2087 (c) S. Ami, M. Hliwa anc C. Joachim, Nanotechnology 14 (2002) 283
52 One branch Transmission coefficient variation T12 = Tππ cos4(θ) +Tσπ sin4(θ), Nanotechnology 14 (2002) 283
53 One branch Resistance variation Nanotechnology 14 (2002) 283
54 ΘX = 30 deg., RX = 175MΩ R23 = R34 = 78MΩ (minimum value for Θ= 0) Classical standard Wheatstone bridge mesh and node laws (Kirshhoff) Quantum intramolecular circuit rules RΘ + R23 = RX + R34 RΘR23 = RXR34
55 5-branch Wheatstone bridge
56 Specific superposition rules for 5-branch Wheatstone bridge G = 4G1+4G3+8(G1xG3)1/2 ; with G1 = G2 and G3 = G4
57 Summary
58
59
60 Monomolecular Logic gates (a) N. Jlidat, M. Hliwa and C. Joachim ; Chem. Phys. Lett. 451 (2008) 270. (b) N. Jlidat, M. Hliwa and C. Joachim ; Chem. Phys. Lett. (2008).
61
62
63
64 Aknowledgments NanoSciences Group (GNS-CEMES-CNRS-Toulouse) Christian Joachim Nicolas Renaud Stephane Ami Nozha Jlidat Mike Magoga
65 Thanks for your attention
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