Graphene: Fundamentals, Devices, And Applications by Serhii ShafraniukGraphene: Fundamentals, Devices, And Applications by Serhii Shafraniuk

Graphene: Fundamentals, Devices, And Applications

bySerhii ShafraniukEditorSerhii Shafraniuk

Hardcover | May 5, 2015

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Graphene is the first example of two-dimensional materials and is the most important growth area of contemporary research. It forms the basis for new nanoelectronic applications. Graphene, which comprises field-effect structures, has remarkable physical properties.

This book focuses on practical applications determined by the unique properties of graphene. Basic concepts are elucidated by end-of-chapter problems, the answers to which are provided in the accompanying solutions manual. The mechanisms of electric and thermal transport in the gated graphene, interface phenomena, quantum dots, non-equilibrium states, scattering and dissipation, as well as coherent transport in graphene junctions are considered in detail in the book. Detailed analyses and comparison between theory and experiments is complemented with a variety of practical examples.

The book has evolved from the author's own research experience and from his interaction with other scientists at tertiary institutions and is targeted at a wide audience ranging from graduate students and postdoctoral fellows to mature researchers and industrial engineers.

Title:Graphene: Fundamentals, Devices, And ApplicationsFormat:HardcoverDimensions:634 pages, 9 × 6.1 × 1.65 inPublished:May 5, 2015Publisher:Taylor and FrancisLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9814613479

ISBN - 13:9789814613477

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Table of Contents


Chiral fermions in graphene

Low-energy electron excitations in graphene

Dirac equation for chiral fermions

Berry phase and topological singularity in graphene

Klein paradox and chiral tunneling

Landau levels in graphene

Modeling the graphene devices


The field-biased graphene junctions

Electron and hole excitations in graphene

Quantum capacitance of graphene

Einstein relation in graphene

Electrostatics of gated graphene devices: charge traps near the graphene/oxide interface

Steady-state electrostatics of graphene field-effect transistors

Characteristic scales of gated graphene

Solving the electrostatic equation

Capacitance of the channel and of the gate

Diffusion-drift current ratio of the diffusion and drift currents

Continuity of electric current

Inhomogeneous behavior of chemical and electrostatic potential along the channel

Microscopic model of electron transport through the field-effect transistor

Conventional tunneling via a rectangular barrier

Chiral tunneling through a rectangular barrier

Role of edges: armchair edges

Role of edges: zigzag edges

Deviation of an electron inside a wide chiral barrier

Electric current density across the chiral barrier

Gate voltage'controlled quantization

A hybrid graphene'CNT junction

Electric current characteristics

The saturation regime (pinch-off)

Linear behavior in low fields

Transit time through the channel

The diffusion-drift approximation

Effects in the high field

Generalized boundary conditions

Pseudo-diffusive dynamics

Confinement and Zitterbewegung


Tight-binding model of bilayer graphene

A bilayer graphene junction

Heavy chiral fermion state in graphene stripe

3.4. Quantum-confined Stark effect

PT-invariance the Dirac Hamiltonian

Heavy chiral fermions at zigzag edges of graphene stripe


Phonon modes in the two-dimensional graphene

Phonon spectra in graphene, and graphene nanoribbons

The phonon transport in two-dimensional crystals

Momentum diagram of phonon transport in graphene

Thermal conductivity due to phonons in graphene nanoribbons

Raman scattering

Role the degrees of freedom

Molecular vibrations and infrared radiation

Various processes of light scattering

Stokes and anti-Stokes scattering

Raman scattering versus fluorescence

Selection rules for Raman scattering

Raman amplification and Stimulated Raman scattering

A requirement of the coherence

Practical applications

Higher-order Raman spectra

Raman spectroscopy of graphene

Kohn anomalies, double resonance, and D and G peaks

Deriving the electron'phonon coupling from Raman line width

Raman spectroscopy of graphene and graphene layers

Failure the adiabatic Born'Oppenheimer approximation and the Raman spectrum of doped graphene

Influence of the atomic and structural disorders

Graphene ribbons and edges


Pseudospin conservation during the scattering of chiral fermions

Phonon drag effect

Screening by interacting electrons

Plasma oscillations

Plasma excitations in graphene

Coupling between electrons and phonons

Susceptibility of graphene


Dielectric function in graphene and CNT

Electron-impurity scattering time in graphene

Scattering of phonons in a few-layer graphene


Electron-electron Coulomb interaction

Electron self-energy

Quasi-particle excitation energy

Computational results


Wannier'Mott excitons

Excitonic states

Experimental observation of excitons in graphene

Electron scattering on indirect excitons

Tomonaga'Luttinger liquid

Probing of intrinsic state of one-dimensional quantum well with a photon-assisted tunneling

The TLL tunneling density of states of a long quantum well

Identifying the charge and the spin boson energy levels

Useful relationships


Graphene/superconductor interface

Conversion between Electrons and holes at the N/S interface

BTK model of Andreev reflection

Experimental study of the Andreev reflection in graphene

Interpretation of Andreev reflection in graphene-based junctions

Amplitude of composite Andreev reflection

Amplitude of composite Andreev reflection

Van Hove singularities and superconductivity in carbon nanotubes and graphene stripes

Theoretical model


Relevance of non-equilibrium effects in graphene junction

Tunneling rates for a graphene junction

Non-equilibrium electric current

The Green Keldysh function of non-equilibrium electrons

"Homogeneous" approximation inside the chiral barrier

Expressions for the advanced Green functions

The -function approximation

Photon-assisted tunneling current through the chiral barrier

Electron self-energy and many-body effects

Quantum kinetic equation for

Symmetric junction

Non-equilibrium contribution

The photon-assisted electric current

Equilibrium current

The gate current

Excessive regular current

Absorbed power

Jarzynski equality for quantum systems

Quantum Jarzynski equality for spin '


Thermoelectric effects on the nanoscale

Performance of the thermoelectric device

Quantum theory of electronic thermal transport

Electron transport and elastic collisions

Reversible Peltier effect in carbon nano-junctions

Thermoelectric figure of merit and Fourier law

Phonon transport and thermal conductivity

Recent experiments for measuring the thermal conductivity of graphene

Microscopic model of the thermoelectric effect

Converting the heat into electricity by a graphene stripe with heavy chiral fermions

Blocking the phonon flow by multilayered electrodes

Molecular dynamics simulations

Non-equilibrium thermal injection

Perspectives of thermoelectric research for graphene


Sensors of electromagnetic field

THz sensor based on carbon nanotube quantum dot

Microscopic model of the carbon nanotube quantum dot sensor

Electromagnetic field influence

Key assumptions

Electron quantization in the steady state

The THz field influence to quantum dot

Characteristics of the electric transport

Responsivity and quantum efficiency of the THz detector

Intrinsic noise and the noise equivalent power

Frequency range and operation temperature


Atomic monolayers

Monolayer and a few-layered materials

Electric transport in nanodevices

Electronic transport versus scattering mechanisms

TMDC transistors

Perspectives of the TMDC electronics

Vibrational and optical properties of TMDCs

The future applications of 2D materials

Editorial Reviews

"Graphene: Fundamentals, Devices, and Applications provides a comprehensive textbook, primarily focused on graphene but also containing up-to-date coverage of carbon nanotubes, and even an introduction to few-layered transition metal dichalcogenides. Each of the 11 chapters ends with a problem set and an extensive list of references. Many examples of device applications are given in each chapter, thereby making the book attractive to practicing engineers and engineering students." ¿Prof. Mildred Dresselhaus, Massachusetts Institute of Technology, USA "This book is the most advanced introduction to a fascinating world of two-dimensional materials. Detailed and self-contained description of electric, thermal, and thermoelectric properties of graphene and graphene nanostructures is a valuable resource for researchers in physics, materials science, nanotechnologies, and sensing. Accessible presentation of the most complicated phenomena and interesting original problems will be appreciated by graduate students." ¿Prof. Vladimir Mitin, The State University of New York, USA "This is a long-awaited monograph that provides a direct link from the unique energy spectra, including the chiral properties, thermal and electric transport, as well as vibrational, interface, scattering, and dissipation phenomena in both ideal and dirty graphene, to their remarkable possible applications. Graphene nanocoolers and cogenerators of electricity are splendid examples of such novel applications in thermoelectricity. The miraculous potentialities of graphene-quantum-dot-based structures as THz detectors are supported by a big number of both theoretical analyses and experimental observations. I strongly recommend this book to all who are interested in the most recent advances in the fascinating field of monolayered nanostructures." ¿Prof. Vladimir M. Fomin, Leibniz Institute for Solid State and Materials Research (IFW), Germany