Showing 41 - 45 of 45
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Density of States in 1D Systems
- Professor Oleg Yazyev
- CourseSolid State Physics
- Kernel Python3
- Type Interactive textbook
- Language English
- DescriptionThis notebook presents the density of states in one-dimensional systems, providing a clear visualization of how the states are distributed at different energy levels.
- condensed matter physics
- Units of energy
- Fermi Energy
- electron density
- 1D system
Illustrating Band Structures in Solids: Free Electrons and Atomic Orbitals
- Professor Oleg Yazyev
- CourseSolid State Physics
- Kernel Python3
- Type Interactive textbook
- Language English
- DescriptionThis notebook provides an illustration of band structures in solids, beginning with the perspectives of free electrons and atomic orbitals. It explores how Bloch's theorem leads to the formation of electronic bands, highlighting the interplay between periodic potential and kinetic energy. Additionally, the relationship between the Schrödinger equation and band structure calculations is discussed.
- band structure
- energy levels
- bloch theorem
- schrödinger equation
- brillouin zone
AC Conductivity and Permittivity Calculations Using the Drude Model
- Professor Oleg Yazyev
- CourseSolid State Physics
- Kernel Python3
- Type Interactive textbook
- Language English
- DescriptionThis notebook utilizes the Drude Model to compute and visualize the AC conductivity and permittivity of materials, examining their dependence on DC resistivity and electron density. The results are further used to analyze the permittivity, offering a deeper understanding of how these electrical properties vary with frequency.
- AC conductivity
- electron density
- Drude theory of metals
- Drude model
- DC resistivity
Classical Monte Carlo Simulations of the Ising Model on Square Lattice
- Professor Oleg Yazyev
- CourseSolid State Physics
- Kernel Python3
- Type Interactive textbook
- Language English
- DescriptionThis notebook explores the Ising model using classical Monte Carlo simulations on a two-dimensional square lattice. It focuses on the behavior of spins that can take on discrete values, considering only nearest neighbor interactions. The notebook utilizes the Metropolis algorithm to simulate spin configurations, allowing users to observe the emergence of magnetization and the ferromagnetic transition temperature.
- Ferromagnetism
- Magnetic moment
- Ising model
- Monte carlo simulation
Simulating Electron Motion in 2D Materials Using the Drude Model - Advanced
- Professor Oleg Yazyev
- CourseSolid State Physics
- Kernel Python3
- Type Interactive textbook
- Language English
- DescriptionThis notebook explores the Drude model and uses a stochastic method to simulate electron movement through a 2D material of finite width and infinite length. The simulations cover several cases: only an electric field with a short mean free time, only a magnetic field with a long mean free time, and both electric and magnetic fields with a short mean free time.
- Electron scattering
- Kinetic theory
- Drude model
- electron motion
- resistivity of a conductor