Study of electronic and magnetic excitations in the 2D materials represented by graphene and magnetic nano-ribbons

List of Appendices......Page 1
Introduction......Page 16
Carbon physics and chemistry......Page 18
Graphene physics......Page 22
Tight binding model for graphene......Page 25
Second quantization form of the Hamiltonian......Page 29
Magnetic properties of 2D stripe systems......Page 30
Heisenberg exchange Hamiltonian......Page 31
Spin Waves in Ferromagnets......Page 33
Thesis outline......Page 36
Introduction......Page 38
Theoretical model......Page 39
Special case of N......Page 43
Case of large finite N......Page 44
Numerical calculations......Page 45
Results......Page 48
Discussion......Page 51
Introduction......Page 52
Theoretical model......Page 53
Numerical calculations......Page 56
Zigzag stripes results......Page 58
The effect of zigzag stripe width on RDSFL and RDSCB......Page 61
The effects of edge uniaxial anisotropy on zigzag stripe RDSFL and RDSCB......Page 64
The effects of edge exchange on zigzag stripe RDSFL and RDSCB......Page 66
The effects of impurities on zigzag stripe RDSFL and RDSCB......Page 68
Armchair stripes results......Page 75
The effects of edge uniaxial anisotropy on armchair stripe RDSCB......Page 78
The effects of impurities on armchair stripe RDSCB......Page 80
The effects of edge exchange on armchair stripe energy band gap......Page 84
The effects of impurities on armchair stripe energy band gap......Page 86
Discussion and Conclusions......Page 90
Understanding exchange matrix......Page 93
Applying exchange matrix to 2D Honeycomb Lattice......Page 94
Applying exchange matrix to 2D square Lattice......Page 97
Discussion and Conclusions......Page 101
Introduction......Page 102
Theory for edge states and impurity states......Page 103
Results......Page 107
Discussion and Conclusions......Page 112
Introduction......Page 114
Theoretical model......Page 115
Neglecting the next nearest neighbor hopping as special case......Page 118
Results......Page 119
Discussion and Conclusions......Page 122
Introduction......Page 124
Theoretical model......Page 125
Numerical calculations......Page 129
Results......Page 130
Discussion and Conclusions......Page 137
Bibliography......Page 138
Algorithm 2......Page 152
Rearranging Equations (5.5)......Page 154
The partition of DN matrix......Page 156
Curriculum Vitae......Page 157