Monolayer Graphene

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Introduction

Fundamental Physical Constants

% Constants
single_electron = 1.602176634 * 10^(-19); % C
vaccum_perm = 8.854187817 * 10^(-12); %  F/m
h_planck = 6.62607015 * 10^(-34); % J·s
quantum_conductance = single_electron^2 / h_planck;
factor = single_electron / (2 * vaccum_perm); % unit is m * V
factor = factor * 10^(2); % unit is cm * V

Construct MLG Hamiltonian

$ hexo server

进行对角化计算

$ hexo generate

结果展示

$ hexo deploy

$$\begin{array}{ll} \nabla \cdot \mathbf{E} &=\cfrac{\rho}{\varepsilon_0} \\ \nabla \cdot \mathbf{E} &=0 \\ \nabla \times \mathbf{E} &= -\cfrac{\partial \mathbf{B}}{\partial t} \\ \nabla \times \mathbf{B} &= \mu_0 \mathbf{J} + \mu_0 \varepsilon_0 \cfrac{\partial \mathbf{E}}{\partial t} \end{array}$$

gantt
dateFormat  YYYY-MM-DD
title Adding GANTT diagram to mermaid

section A section
Completed task            :done,    des1, 2014-01-06,2014-01-08
Active task               :active,  des2, 2014-01-09, 3d
Future task               :         des3, after des2, 5d
Future task2               :         des4, after des3, 5d