Mesoscopic phsics

\text{Mesoscopic physics and quantum transport (Phys672)}

\text{Mesoscopic physics and quantum transport (Phys672)}

\text{Computational Quantum Transport in Mesoscopic Systems (Phys673) }

\text{Computational Quantum Transport in Mesoscopic Systems (Phys673) }

\text{Course I:}

\text{Course I:}

\text{Course II:}

\text{Course II:}

H \psi\left(x_i\right)=\frac{\hbar^2}{2 m^* a^2}\left[2 \psi\left(x_i\right)-\psi\left(x_i-a\right)-\psi\left(x_i+a\right)\right]=E \psi\left(x_i\right)

H \psi\left(x_i\right)=\frac{\hbar^2}{2 m^* a^2}\left[2 \psi\left(x_i\right)-\psi\left(x_i-a\right)-\psi\left(x_i+a\right)\right]=E \psi\left(x_i\right)

 t = 1
r = 15
 
def circle(pos):
    x, y = pos
    return x**2 + y**2 < r**2
 
sys = kwant.Builder()
sys[lat.shape(circle, (0,0))] = 4 * t
sys[lat.neighbors()] = -t

\text{Course I:}

\text{Course I:}

\text { Course Type: }

\text { Course Type: }

\text{ Elective}

\text{ Elective}

\text{Level at which this course is offered: }

\text{Level at which this course is offered: }

\text{MS, Ph.D}

\text{MS, Ph.D}

\text{Pre-requisites for this course (if any):}

\text{Pre-requisites for this course (if any):}

\text{ Graduate Standing}

\text{ Graduate Standing}

\text{Course Credit Hours: }

\text{Course Credit Hours: }

3-0-3

3-0-3

\text{Mesoscopic physics and quantum transport (Phys672)}

\text{Mesoscopic physics and quantum transport (Phys672)}

\text{Introduction to mesoscopic physics, Length scales, Confined geometries, Energy dependent density,}\\ \text{band theory, Transport regime and review of conduction Phase-coherent transport, Ballistic transport}\\ \text{, Landauer Buttiker formalism, conductance quantization, graphene related 2D materials, quantum Hall regime,}\\ \text{spin-orbit coupling, Mesoscopic superconductivity}

\text{Introduction to mesoscopic physics, Length scales, Confined geometries, Energy dependent density,}\\ \text{band theory, Transport regime and review of conduction Phase-coherent transport, Ballistic transport}\\ \text{, Landauer Buttiker formalism, conductance quantization, graphene related 2D materials, quantum Hall regime,}\\ \text{spin-orbit coupling, Mesoscopic superconductivity}