scholarly journals Quantum Hall conductance and de Haas–van Alphen oscillation in a tight-binding model with electron and hole pockets for(TMTSF)2NO3

2016 ◽  
Vol 94 (8) ◽  
Author(s):  
Keita Kishigi ◽  
Yasumasa Hasegawa
Keyword(s):  
Quantum Hall ◽  
Tight Binding ◽  
Tight Binding Model ◽  
Binding Model ◽  
Hall Conductance

scholarly journals QUANTUM FIELD THEORY IN GRAPHENE

2012 ◽  
Vol 27 (15) ◽  
pp. 1260007 ◽  
Author(s):  
I. V. FIALKOVSKY ◽  
D. V. VASSILEVICH
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Hall Effect ◽  
Faraday Effect ◽  
Quantum Hall ◽  
Tight Binding ◽  
Polarization Operator ◽  
Quantum Field ◽  
Tight Binding Model ◽  
Binding Model

This is a short nontechnical introduction to applications of the Quantum Field Theory methods to graphene. We derive the Dirac model from the tight binding model and describe calculations of the polarization operator (conductivity). Later on, we use this quantity to describe the Quantum Hall Effect, light absorption by graphene, the Faraday effect, and the Casimir interaction.

scholarly journals Elastic Deformations and Wigner–Weyl Formalism in Graphene

Symmetry ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 317 ◽  
Author(s):  
I.V. Fialkovsky ◽  
M.A. Zubkov
Keyword(s):  
Magnetic Field ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Tight Binding ◽  
Tight Binding Model ◽  
Solid State Physics ◽  
Binding Model ◽  
Elastic Deformations ◽  
Binding Models ◽  
External Electromagnetic Fields

We discuss the tight-binding models of solid state physics with the Z 2 sublattice symmetry in the presence of elastic deformations in an important particular case—the tight binding model of graphene. In order to describe the dynamics of electronic quasiparticles, the Wigner–Weyl formalism is explored. It allows the calculation of the two-point Green’s function in the presence of two slowly varying external electromagnetic fields and the inhomogeneous modification of the hopping parameters that result from elastic deformations. The developed formalism allows us to consider the influence of elastic deformations and the variations of magnetic field on the quantum Hall effect.

scholarly journals QUANTUM FIELD THEORY IN GRAPHENE

2012 ◽  
Vol 14 ◽  
pp. 88-99 ◽  
Author(s):  
I. V. FIALKOVSKY ◽  
D. V. VASSILEVICH
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Hall Effect ◽  
Faraday Effect ◽  
Quantum Hall ◽  
Tight Binding ◽  
Polarization Operator ◽  
Quantum Field ◽  
Tight Binding Model ◽  
Binding Model

This is a short non-technical introduction to applications of the Quantum Field Theory methods to graphene. We derive the Dirac model from the tight binding model and describe calculations of the polarization operator (conductivity). Later on, we use this quantity to describe the Quantum Hall Effect, light absorption by graphene, the Faraday effect, and the Casimir interaction.

scholarly journals Stacking-enriched magneto-transport properties of few-layer graphenes

2017 ◽  
Vol 19 (43) ◽  
pp. 29525-29533 ◽  
Author(s):  
Thi-Nga Do ◽  
Cheng-Peng Chang ◽  
Po-Hsin Shih ◽  
Jhao-Ying Wu ◽  
Ming-Fa Lin
Keyword(s):  
Transport Properties ◽  
Quantum Hall ◽  
Tight Binding ◽  
Bilayer Graphene ◽  
Tight Binding Model ◽  
Kubo Formula ◽  
Binding Model ◽  
Quantum Hall Effects ◽  
Hall Effects

The quantum Hall effects in sliding bilayer graphene and a AAB-stacked trilayer system are investigated using the Kubo formula and the generalized tight-binding model.

Edge states, band structure, and the Hall effect in two-dimensional lattice structures: quantum dot arrays and the tight-binding model

1995 ◽  
Vol 73 (3-4) ◽  
pp. 147-162 ◽  
Author(s):  
R. Akis ◽  
C. Barnes ◽  
G. Kirczenow
Keyword(s):  
Quantum Dots ◽  
Tight Binding ◽  
Transmission Probability ◽  
Edge State ◽  
Matrix Formalism ◽  
Two Dimensional ◽  
Tight Binding Model ◽  
Edge States ◽  
Binding Model ◽  
Hall Conductance

Using a model that is based on a transfer matrix formalism, we study the electronic structure and transport in two dimensional periodic arrays of quantum dots in magnetic fields. The quantum dots in our model are connected to each other via ballistic constrictions. The spectrum for this system has much in common with that with the tight-binding model. In particular, q bulk bands arise if the normalized magnetic flux per unit cell is p/q, where p and q are coprime integers. Working within an edge-state picture, we investigate if these similarities translate to a correspondence in the transport properties of the two systems. As we shall show, the answer to this question depends very much on the transmission probability of the constrictions. Our analysis also shows that, under certain circumstances, the Hall conductance within the context of the tight-binding model may take on fractional values.

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