Linked e-resources
Details
Table of Contents
Intro
Preface
Editor biographies
Luis Brey
Pierre Seneor
Antonio Tejeda
Contributors
Symbols
Chapter 1 The growth and structure of epitaxial graphene nanoribbons
1.1 Introduction
1.2 Epitaxial ribbon production
1.2.1 EG ribbon methods and geometry
1.2.2 Graphene ribbons on vicinal SiC
1.2.3 Sidewall graphene growth
1.3 Summary and future outlook
References
Chapter 2 Bottom-up approach for the synthesis of graphene nanoribbons
2.1 Introduction
2.2 Solution-mediated synthesis graphene nanoribbons
2.2.1 Synthesis of early narrow graphene nanoribbons
2.2.2 Solution mediated synthesis of more extended GNRs
2.2.3 Optical properties of GNRs
2.3 Surface-assisted synthesis of GNRs
2.3.1 Pure carbon GNR
2.3.2 Heteroatom-containing GNR
2.3.3 Heterojunctions
2.4 Conclusion
References
Chapter 3 Spin-orbit in graphene nanoribbons
3.1 Introduction
3.2 Model and method
3.3 Results
3.3.1 Zigzag graphene nanoribbons
3.3.2 Armchair graphene nanoribbons
3.3.3 Curvature effects in GNRs
3.4 Summary
Acknowledgments
References
Chapter 4 Emergent quantum matter in graphene nanoribbons
4.1 Introduction
4.2 Modeling GNR
4.2.1 Geometries
4.2.2 Single particle terms
4.2.3 Coulomb interaction
4.2.4 Proximity terms
4.3 Emergent phases and zero modes
4.3.1 Single particle theory of zero modes
4.3.2 Infinite ribbons
4.3.3 Finite ribbons
4.3.4 U ≠ 0
4.4 Dimerized spin chain
4.5 Magnetic ribbons competing a superconducting proximity effect
4.6 Experimental probes
4.7 Conclusions and outlook
Acknowledgments
References
Chapter 5 Transport in graphene nanoribbon-based systems
5.1 Introduction
5.2 Description of the systems
5.3 Modeling graphene nanoribbon systems
5.3.1 TB approach.
5.3.2 Continuum Dirac approximation
5.4 Zigzag graphene nanoribbons as valley filters
5.5 AA- and AB-stacked bilayer nanoribbon flakes
5.5.1 Continuum model: transmission from wavefunction matching
5.5.2 Electronic conductances within the TB and Dirac approaches
5.6 Twisted bilayer graphene nanoribbons
5.7 Spin-polarized transport in graphene nanoribbons
References
Chapter 6 Electronic transport in graphene nanoribbons
6.1 The role of the edges
6.2 Transport regimes in nanoribbons: from diffusive to Coulomb blockade to ballistic
6.3 Transport studies on GNRs
6.3.1 GNRs formed by on-surface synthesis
6.3.2 GNRs made by lithography
6.3.3 GNRs epitaxially grown on SiC
6.4 Summary and conclusion
References
Chapter 7 Quantum transport in graphene nanoribbons in the presence of disorder
7.1 Introduction
7.2 Methods for electronic structure calculations
7.2.1 The TB method and its limitations
7.2.2 Localized basis sets in DFT
7.3 The LB quantum transport model
7.4 Mesoscopic DFT-based transport calculations of disordered nanoribbons
7.4.1 Building blocks from DFT calculations
7.5 Boron and nitrogen substitutional doping
7.5.1 Electronic and transport properties in single-doped ribbons
7.5.2 Mesoscopic transport properties in randomly-doped ribbons
7.5.3 Topological defects
7.5.4 Covalent adsorption and sp3-type defects
7.5.5 Bilayer graphene nanoribbons
7.6 Magnetotransport in disordered ribbons
7.6.1 Quantum Hall effect in graphene: Landau levels and edge states
7.6.2 Magnetotransport in disordered narrow and ultranarrow graphene ribbons
7.6.3 Spatial chirality breakdown in disordered large graphene ribbons
7.7 Conclusion
Acknowledgments
References.
Preface
Editor biographies
Luis Brey
Pierre Seneor
Antonio Tejeda
Contributors
Symbols
Chapter 1 The growth and structure of epitaxial graphene nanoribbons
1.1 Introduction
1.2 Epitaxial ribbon production
1.2.1 EG ribbon methods and geometry
1.2.2 Graphene ribbons on vicinal SiC
1.2.3 Sidewall graphene growth
1.3 Summary and future outlook
References
Chapter 2 Bottom-up approach for the synthesis of graphene nanoribbons
2.1 Introduction
2.2 Solution-mediated synthesis graphene nanoribbons
2.2.1 Synthesis of early narrow graphene nanoribbons
2.2.2 Solution mediated synthesis of more extended GNRs
2.2.3 Optical properties of GNRs
2.3 Surface-assisted synthesis of GNRs
2.3.1 Pure carbon GNR
2.3.2 Heteroatom-containing GNR
2.3.3 Heterojunctions
2.4 Conclusion
References
Chapter 3 Spin-orbit in graphene nanoribbons
3.1 Introduction
3.2 Model and method
3.3 Results
3.3.1 Zigzag graphene nanoribbons
3.3.2 Armchair graphene nanoribbons
3.3.3 Curvature effects in GNRs
3.4 Summary
Acknowledgments
References
Chapter 4 Emergent quantum matter in graphene nanoribbons
4.1 Introduction
4.2 Modeling GNR
4.2.1 Geometries
4.2.2 Single particle terms
4.2.3 Coulomb interaction
4.2.4 Proximity terms
4.3 Emergent phases and zero modes
4.3.1 Single particle theory of zero modes
4.3.2 Infinite ribbons
4.3.3 Finite ribbons
4.3.4 U ≠ 0
4.4 Dimerized spin chain
4.5 Magnetic ribbons competing a superconducting proximity effect
4.6 Experimental probes
4.7 Conclusions and outlook
Acknowledgments
References
Chapter 5 Transport in graphene nanoribbon-based systems
5.1 Introduction
5.2 Description of the systems
5.3 Modeling graphene nanoribbon systems
5.3.1 TB approach.
5.3.2 Continuum Dirac approximation
5.4 Zigzag graphene nanoribbons as valley filters
5.5 AA- and AB-stacked bilayer nanoribbon flakes
5.5.1 Continuum model: transmission from wavefunction matching
5.5.2 Electronic conductances within the TB and Dirac approaches
5.6 Twisted bilayer graphene nanoribbons
5.7 Spin-polarized transport in graphene nanoribbons
References
Chapter 6 Electronic transport in graphene nanoribbons
6.1 The role of the edges
6.2 Transport regimes in nanoribbons: from diffusive to Coulomb blockade to ballistic
6.3 Transport studies on GNRs
6.3.1 GNRs formed by on-surface synthesis
6.3.2 GNRs made by lithography
6.3.3 GNRs epitaxially grown on SiC
6.4 Summary and conclusion
References
Chapter 7 Quantum transport in graphene nanoribbons in the presence of disorder
7.1 Introduction
7.2 Methods for electronic structure calculations
7.2.1 The TB method and its limitations
7.2.2 Localized basis sets in DFT
7.3 The LB quantum transport model
7.4 Mesoscopic DFT-based transport calculations of disordered nanoribbons
7.4.1 Building blocks from DFT calculations
7.5 Boron and nitrogen substitutional doping
7.5.1 Electronic and transport properties in single-doped ribbons
7.5.2 Mesoscopic transport properties in randomly-doped ribbons
7.5.3 Topological defects
7.5.4 Covalent adsorption and sp3-type defects
7.5.5 Bilayer graphene nanoribbons
7.6 Magnetotransport in disordered ribbons
7.6.1 Quantum Hall effect in graphene: Landau levels and edge states
7.6.2 Magnetotransport in disordered narrow and ultranarrow graphene ribbons
7.6.3 Spatial chirality breakdown in disordered large graphene ribbons
7.7 Conclusion
Acknowledgments
References.