This video is part of the course "ECE 606: Solid State Physics" taught by Gerhard Klimeck at Purdue University. The course can be found on nanoHUB.org at [ Ссылка ] or on edX at [ Ссылка ]
Table of Contents:
00:00 L7.1 Bandstructure Problem Formulation
00:13 Section 7 Bandstructure – in 1D Periodic Potentials
01:27 Reminder Transmission through Repeated Wells
02:41 Reminder: Five Steps for Closed System Analytical Solution
03:31 Reminder: Five Steps for Closed System Analytical Solution
04:06 Reminder: Five Steps for Closed System Analytical Solution
04:19 Periodic Potential Concept
04:36 Choosing the Smallest Unit Cell
04:55 Solution Ansatz Choose the Simplest Basis Set
05:33 Finally an (almost) Real Problem …
06:30 Reminder: Five Steps for Closed System Analytical Solution
06:38 Periodic U(x) and Bloch's Theorem Periodic U(x) and Bloch's Theorem
07:49 Phase-factor for N-cells
08:34 Step 2: Periodic Boundary Condition
10:30 Step 3: Boundary Conditions
12:45 Step 4: Det(matrix)=0 for Energy-levels
14:04 Reminder: Five Steps for Closed System Analytical Solution
14:17 Five Steps for Periodic System Analytical Solution
14:43 Section 7 Bandstructure – in 1D Periodic Potentials
This course provides the graduate-level introduction to understand, analyze, characterize and design the operation of semiconductor devices such as transistors, diodes, solar cells, light-emitting devices, and more.
The material will primarily appeal to electrical engineering students whose interests are in applications of semiconductor devices in circuits and systems. The treatment is physics-based, provides derivations of the mathematical descriptions, and enables students to quantitatively analyze device internal processes, analyze device performance, and begin the design of devices given specific performance criteria.
Technology users will gain an understanding of the semiconductor physics that is the basis for devices. Semiconductor technology developers may find it a useful starting point for diving deeper into condensed matter physics, statistical mechanics, thermodynamics, and materials science. The course presents an electrical engineering perspective on semiconductors, but those in other fields may find it a useful introduction to the approach that has guided the development of semiconductor technology for the past 50+ years.
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