Hyuck's Physics Portfolio

Undergraduate Research in Solid-State Physics & 2D Semiconductor Devices

Research Focus

As an undergraduate physics researcher, my primary focus lies in the physics of van der Waals heterostructures and next-generation semiconductor devices. I currently investigate the fabrication and electrical characterization of WSe2 / hBN Field-Effect Transistors (FETs). My recent work involves analyzing transfer characteristics, extracting contact resistance via the Transfer Length Method (TLM), and evaluating field-effect mobility to lay the groundwork for high-performance floating gate memory architectures.

Band Structure Visualization

Interactive 3D representation of the Dirac cone energy band structure. This plot visualizes the linear energy-momentum dispersion relation, \(E = \pm \hbar v_F |\mathbf{k}|\), characteristic of massless Dirac fermions in 2D materials like Graphene. Developed with custom JavaScript and Plotly.js.

Theoretical Framework

The time-dependent Schrödinger equation governing the evolution of the wave function \(\Psi(x, t)\):

\[i\hbar \frac{\partial}{\partial t}\Psi(\mathbf{r},t) = \left [ \frac{-\hbar^2}{2m}\nabla^2 + V(\mathbf{r},t)\right ] \Psi(\mathbf{r},t)\]

Maxwell's Equations in vacuum, demonstrating electromagnetic propagation:

\[\nabla \cdot \mathbf{E} = 0, \quad \nabla \cdot \mathbf{B} = 0\] \[\nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t}, \quad \nabla \times \mathbf{B} = \mu_0 \epsilon_0 \frac{\partial \mathbf{E}}{\partial t}\]

Drain current (\(I_D\)) in the linear region for a MOSFET/FET:

\[I_D = \mu_n C_{ox} \frac{W}{L} \left[ (V_{GS} - V_{th})V_{DS} - \frac{1}{2}V_{DS}^2 \right]\]