C 60 - Single Molecule Transistor Aniruddha Chakraborty Indian Institute of Technology Mandi, Mandi-175001, Himachal Pradesh, India.

Slides:

Advertisements

Similar presentations

Understanding Complex Spectral Signatures of Embedded Excess Protons in Molecular Scaffolds Andrew F. DeBlase Advisor: Mark A. Johnson 68 th Internatinal.

Advertisements

“Rotational Energy Transfer in o - / p -H 2 + HD” Renat A. Sultanov and Dennis Guster BCRL, St. Cloud State University St. Cloud, MN June 20, 2007 OSU.

Spectroscopy at the Particle Threshold H. Lenske 1.

Cohen & Fano (CF) Model CF-I: Monoelectronic Process CF-II: LCAO for the bound molecular state CF-III: Free Wave for the ejected electron H H Interferences.

Molecular Bonds Molecular Spectra Molecules and Solids CHAPTER 10 Molecules and Solids Johannes Diderik van der Waals (1837 – 1923) “You little molecule!”

Cphys351 c4:1 Chapter 4: Atomic Structure The Nuclear Atom The Atom as the smallest division of an element quantization of electric charge oil drop experiments.

Casimir interaction between eccentric cylinders Francisco Diego Mazzitelli Universidad de Buenos Aires QFEXT-07 Leipzig.

Emergent Majorana Fermion in Cavity QED Lattice

№4. Soap film Create a soap film in a circular wire loop. The soap film deforms when a charged body is placed next to it. Investigate how the shape of.

METO 621 Lesson 6. Absorption by gaseous species Particles in the atmosphere are absorbers of radiation. Absorption is inherently a quantum process. A.

Quantum Monte Carlo Simulation of Vibrational Frequency Shifts in Pure and Doped Solid para-Hydrogen Lecheng Wang, Robert J. Le Roy and Pierre- Nicholas.

Dynamics of Vibrational Excitation in the C 60 - Single Molecule Transistor Aniruddha Chakraborty Department of Inorganic and Physical Chemistry Indian.

TEST GRAINS AS A NOVEL DIAGNOSTIC TOOL B.W. James, A.A. Samarian and W. Tsang School of Physics, University of Sydney NSW 2006, Australia

Computational Solid State Physics 計算物性学特論第２回 2.Interaction between atoms and the lattice properties of crystals.

RAMAN SPECTROSCOPY Scattering mechanisms

Coupled optoelectronic simulation of organic bulk-heterojunction solar cells: Parameter extraction and sensitivity analysis R. Häusermann,1,a E. Knapp,1.

P461 - Molecules 21 MOLECULAR ENERGY LEVELS Have Schrod. Eq. For H 2 (same ideas for more complicated). For proton and electron 1,2 real solution: numeric.

Raman Spectroscopy and Thin Films Alexander Couzis ChE5535.

Electricity and Magnetism

Dr. Jie ZouPHY Chapter 43 Molecules and Solids.

Simulation of X-ray Absorption Near Edge Spectroscopy (XANES) of Molecules Luke Campbell Shaul Mukamel Daniel Healion Rajan Pandey.

4.1The Atomic Models of Thomson and Rutherford 4.2Rutherford Scattering 4.3The Classic Atomic Model 4.4The Bohr Model of the Hydrogen Atom 4.5Successes.

Crystal Lattice Vibrations: Phonons

4.1The Atomic Models of Thomson and Rutherford 4.2Rutherford Scattering 4.3The Classic Atomic Model 4.4The Bohr Model of the Hydrogen Atom 4.5Successes.

F. Cheung, A. Samarian, W. Tsang, B. James School of Physics, University of Sydney, NSW 2006, Australia.

Lecture 6 Raman spectra of carbon nanotubes. Infrared (IR) spectroscopy IR 700 nm3500 nm400 nm Visible light IR IR spectra can be used to identify the.

Vibrational and Rotational Spectroscopy

Magnetopolaronic effects in single-molecule transistor

Institute of Experimental Physics 1 Wolfgang E. Ernst Xe and Rb Atoms on Helium Nanodroplets: is the van der Waals Attraction Strong Enough to Form a Molecule?

Measuring DR cross sections Absolute recombination rate coefficients of tungsten ions from storage-ring experiments Stefan.

Electric Charge and Electric Field

Organic Molecules on Insulating Surfaces Investigated by NC-AFM June 10 th, 2006 ETH Zurich, Switzerland Enrico Gnecco NCCR Nanoscale Science University.

Absorption Spectra of Nano-particles

1 Materials Science Concepts MATS-535 Electronics and Photonics Materials Scope a – Atomic Structure and Atomic Number b – Bonding and Type of Solids Dr.

Scaling of the performance of carbon nanotube transistors 1 Institute of Applied Physics, University of Hamburg, Germany 2 Novel Device Group, Intel Corporation,

Tuesday, Sep. 25, PHYS 1444 Dr. Andrew Brandt PHYS 1444 – Section 02 Lecture #9 Chapter 24 Chapter 25 Tuesday Sep. 25, 2012 Dr. Andrew Brandt HW.

AFM. The cantilever holder The cantilever dimensions Tip position.

Ch ; Lecture 26 – Quantum description of absorption.

MODULE 26 (701) RADIATIONLESS DEACTIVATION OF EXCITED STATES We have used terms such as "internal conversion" and "intersystem crossing" without thinking.

Rotational spectra of molecules in small Helium clusters: Probing superfluidity in finite systems F. Paesani and K.B. Whaley Department of Chemistry and.

Van der Waals and Electrostatic Forces Acting on a Carbon Nanotubes Research Center for Applied Sciences, Academia Sinica,Taipei, Taiwan contact: Evgeny.

Tuesday, Feb. 22, PHYS Dr. Andrew Brandt PHYS 1444 – Section 02 Lecture #9 Chapter 24 Chapter 25 Tuesday Feb 22, 2011 Dr. Andrew Brandt.

Hψ = E ψ Hamiltonian for the H atom. The wave function is usually represented by ψ.

Various trajectories through the potential energy surface.

Nuclear and Radiation Physics, BAU, 1 st Semester, (Saed Dababneh) Nuclear and Radiation Physics Why nuclear physics? Why radiation.

A sphere of radius A has a charge Q uniformly spread throughout its volume. Find the difference in the electric potential, in other words, the voltage.

Ballistic conductance calculation of atomic-scale nanowires of Au and Co Peter Bennett, Arizona State University, ECS State-of-the-art electron.

Tao Peng and Robert J. Le Roy

Metastable molecular hydrogen anion The lowest states (i.e. the ones with longest life-time) are collected in the table below. The same values were found.

Infrared Spectra of Anionic Coinage Metal-Water Complexes J. Mathias Weber JILA and Department of Chemistry and Biochemistry University of Colorado at.

The many forms of carbon Carbon is not only the basis of life, it also provides an enormous variety of structures for nanotechnology. This versatility.

Time dependent GCM+GOA method applied to the fission process ESNT janvier / 316 H. Goutte, J.-F. Berger, D. Gogny CEA/DAM Ile de France.

modes Atomic Vibrations in Crystals = Phonons Hooke’s law: Vibration frequency   f = force constant, M = mass Test for phonon effects by using isotopes.

Introduction to Infrared Spectroscopy

Few-Body Models of Light Nuclei The 8th APCTP-BLTP JINR Joint Workshop June 29 – July 4, 2014, Jeju, Korea S. N. Ershov.

기계적 변형이 가능한 능동 플라즈모닉 기반 표면증강라만분광 기판 Optical Society of Korea Winter Annual Meting 강민희, 김재준, 오영재, 정기훈 바이오및뇌공학과, KAIST Stretchable Active-Plasmonic.

Why do molecules form? Molecular bonds Rotations Vibrations Spectra Complex planar molecules Molecules CHAPTER 9 Molecules Johannes Diderik van der Waals.

Raman Effect The Scattering of electromagnetic radiation by matter with a change of frequency.

Tunable excitons in gated graphene systems

Molecule movement along a surface

Aniruddha Chakraborty School of Basic Sciences

Quantum Phase Transition of Light: A Renormalization Group Study

Multistate Problems in Quantum & Statistical Mechanics

Production of an S(α,β) Covariance Matrix with a Monte Carlo-Generated

物理化學 Physical Chemistry matter logic change study origin

Solid state physics Lecture 3: chemical bonding Prof. Dr. U. Pietsch.

Lecture 8: Volume Interactions

International Symposium on Molecular Spectroscopy

by Alberto Ambrosetti, Nicola Ferri, Robert A

Time-Resolved Recombination Dynamics of Large IBr-(CO2)n (n=11-14) Clusters Joshua P. Martin, Joshua P. Darr, Jack Barbera, Matt A. Thompson, Robert.

Presentation transcript:

C 60 - Single Molecule Transistor Aniruddha Chakraborty Indian Institute of Technology Mandi, Mandi , Himachal Pradesh, India. 22/09/2010

Plan of the talk 1. What is C 60 - single molecule transistor? 2. Experimental results 3. Our work 4. Conclusions

Park et al. Nature 497, 57 (2000). C 60 - Single Molecule Transistor C 60 molecule Sphere, diameter 0.7 nm. 12 pentagons and 20 hexagons.

Park et al. Nature 497, 57 (2000). Current Vs Voltage Plot at 1.5 K Conductance gap Asymmetric Different step heights 5 meV

‘Two photon’ Process Center of mass motion Energy (0,0) (0,1) (0,2) (0,3) Voltage Current (0,0) (0,1) (0,2) Energy Nuclear Coordinate A B A B t=0

Why not internal vibrational excitation? Lowest energy mode: 33meV Why Not? Why not electronic excitation? Very high energy Why not rotational excitation? No net dipole moment

The Model Perturbation (electron hopping) ‘Two photon’ Process (Resonance Raman Spectroscopy) Perturbation (Light) Kramers-Heisenberg-Dirac formula Second order Perturbation theory C 60 - Single Molecule Transistor

The Hamiltonian Internal vibrational modes of C 60 are not considered. Position dependence of LUMO energy is neglected.

Perturbation (electron hopping)

Center of mass motion Energy Geometry independent. New Mechanism: distance dependent electron hopping probability

Kramers-Heisenberg-Dirac type formula *Boese et al. Europhys. Lett. 54, 668 (2001). Temperature effect neglected 1.5K =0.13 meV (a) The displacement of the (a) The displacement of the equilibrium position Contributing factors to the vibrational excitation (b) The position dependence of the (b) The position dependence of the electron hopping matrix element

trapped between gold electrodes C 60 No experimental information available

Van der Waals interaction between C 60 and Au electrode *Acknowledgement: Hao Tang (CEMES/CNRS, France). Hollow sphere Carbon atoms smeared into a continuum Metal assumed to form a continuum Energy ( eV )

Van der Waals interaction: C 60 trapped between gold electrodes Energy Center of mass motion Approximate Potential Choice of d Best distance – maximum binding energy

Classical Electrodynamics: J. D. Jackson; 3rd ed. (1999). Image interaction Hollow sphere Carbon atoms smeared into a continuum Extra electron is uniformly distributed Point charge at the center Force Calculation (convergent Series) Images placed at larger and larger distances.

Center of mass motion Energy Approximate Potentials

Current Vs Voltage Plot Voltage (meV) Current (arb. units) Qualitative agreement !

Van der Waals interaction between C 60 and Gold electrode Energy ( eV ) Hollow sphere Carbon atoms smeared into a continuum Metal assumed to form a continuum Larger radius – effect of protrusion is less Smaller radius – C 60 won’t stable on top

Van der Waals interaction: C 60 trapped between Gold electrodes Van der Waals interaction: C 60 trapped between Gold electrodes Energy Center of mass motion Choice of d Best distance – maximum binding energy

Image Interaction Classical Electrodynamics: J. D. Jackson; 3rd ed. (1999). Hollow sphere Carbon atoms smeared into a continuum Extra electron is uniformly distributed Point charge at the center = +

32760 images Image Interaction Force Calculation (convergent Series) Images from reflection between parallel electrodes : placed at larger and larger distances. With each reflection the images change sign. Each reflection on the sphere, reduces the images change. generated from a set of SIX successive reflections seven five

Approximate Potentials Center of mass motion Energy

Voltage (meV) Current (arb. units) Current Vs Voltage Plot Qualitative agreement !

Voltage (meV) Current (arb. units) Current Vs Voltage Plot Qualitative agreement !

Contribution from hopping matrix element Voltage Current (0,0) (0,1) (0,2) (0,3)

Electrode geometry & hopping matrix element Voltage Current (0,0) (0,1) A. Chakraborty, Chapter 2, Ph.D thesis, IISC, Bangalore, India, 2005.

Only Qualitative Agreement ! Double well problem! Internal modes! Energy Center of mass motion A. Chakraborty, K. Kumar and K. L. Sebastian, Phys. Rev. B 68, (2003).

Effective Hamiltonian Approach A. Chakraborty (manuscript under preparation) (2010).

Conclusions 1. Two possible mechanisms for vibrational excitations. 2. Our results are in qualitative agreement with experiment. (a) The displacement of equilibrium position. (b) The position dependence of the electron hopping matrix element A. Chakraborty, Nano Devices, 2D electron solvation and curve crossing problems: Theoretical Model Investigations, LAMBERT Academic Publishing, Germany (2010).

Prof. K.L. Sebastian Hao Tang Dr. Keshav Kumar ( University of Pennsylvania, USA ) ( CEMES/CNRS, France ) CSIR ( New Delhi, India ) Acknowledgements ( Indian Institute of Science, India )