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Course Description |
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Course Name |
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Semiconductor Heterostructures |
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Course Code |
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FK-597 |
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Course Type |
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Optional |
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Level of Course |
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Second Cycle |
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Year of Study |
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1 |
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Course Semester |
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Fall (16 Weeks) |
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ECTS |
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6 |
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Name of Lecturer(s) |
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Prof.Dr. METİN ÖZDEMİR |
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Learning Outcomes of the Course |
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Has knowlodge on the energy band structure of solids Knows lattice constant and lattice matching at junctions Knows doping of heterostructures Knows charge neutrality and Fermi energy equality at heterostructures Knows the results of having different energy band gaps at the heterostructures. Has knowledge about energ band shifts. Knows the transfer of free charges and the bending of energy bands as a result of doping at heterostructures. Knows how to write Schrödinger equation for a two dimensional system Knows how to write and solve Poisson equation in two dimensions, knows how to use boundary conditions. Knows the Fong-Howard wave functions suggested for two dimensional systems and knows how to find the constants in those functions. Knows how to solve Poisson and Schrödinger equations self consistently using Fong-Howard wave functions.
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Mode of Delivery |
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Face-to-Face |
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Prerequisites and Co-Prerequisites |
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None |
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Recommended Optional Programme Components |
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None |
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Aim(s) of Course |
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The formation of heterostrucutres will be explained in detail. Poisson and Schrödinger equations are to be solved self consistently and analytically. |
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Course Contents |
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Review of energy band structure in solids, Heterostructures, doping and charge transfer, Finite well potential, Triangular potential and analytical solution of Schrödinger equation, Solution of Poisson equation at heterostructures (cont´d), Fong-Howard wave functions, Energy calculations, Numerical calculations |
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Language of Instruction |
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English |
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Work Place |
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Lecture halls of faculty |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
Review of energy band structure in solids |
Research the related topic |
Lecture, discussion |
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2 |
Heterostructures, doping and charge transfer |
Research the related topic |
Lecture, discussion |
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3 |
Finite well potential, some numerical computations |
Research the related topic |
Lecture, discussion |
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4 |
Triangular potential and analytical solution of Schrödinger equation |
Research the related topic |
Lecture, discussion |
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5 |
Solution of Poisson equation at heterostructures |
Research the related topic |
Lecture, discussion |
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6 |
Solution of Poisson equation at heterostructures (cont´d), Fong-Howard wave functions |
Research the related topic |
Lecture, discussion |
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7 |
Fong-Howard wave functions (cont´d) |
Research the related topic |
Lecture, discussion |
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8 |
Modified Fong-Howard wave functions |
Research the related topic |
Lecture, discussion |
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9 |
mid-term examination |
mid-term examination |
mid-term examination |
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10 |
Self consistent solution of Poisson and Schrödinger equations |
Research the related topic |
Lecture, discussion |
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11 |
Energy calculations |
Research the related topic |
Lecture, discussion |
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12 |
Energy calculations (cont´d) |
Research the related topic |
Lecture, discussion |
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13 |
Numerical calculations |
Research the related topic |
Lecture, discussion |
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14 |
Numerical calculations and their interpretation |
Research the related topic |
Lecture, discussion |
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15 |
Numerical calculations and their interpretation (cont´d) |
Research the related topic |
Lecture, discussion |
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16/17 |
Final examination |
Final examination |
Final examination |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
Wave mechanics applied to heterostructures, Bastard, (1988)
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| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
80 |
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Homeworks/Projects/Others |
3 |
20 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
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60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
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1 |
Develop and deepen the knowledge as a specialist in physics or different areas based on the Physics Bachelor´s qualification level. |
5 |
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2 |
Comprehend the importance of multidisciplinary studies related to Physics. |
5 |
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3 |
Use his/her advanced theoretical and practical knowledge in Physics efficiently. |
5 |
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4 |
Integrate and interpret the knowledge from different disciplines with the help of his professional knowledge in Physics and conceptualize new perspectives. |
4 |
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5 |
Solve the problems in Physics by using research methods. |
5 |
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6 |
Carry out a study requiring expertise in physics independently. |
4 |
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7 |
Develop and provide new strategic approaches by taking responsibilty while solving the unexpected problems in Physics . |
4 |
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8 |
Take the responsibility of being the leader while solving the problems related to physical environments. |
3 |
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9 |
Evaluate the knowledge and skills gained in Physics by having a critical view and directs his/her learning. |
3 |
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10 |
Systematically transfer the current developments in the field of physics and his/her work to the person in physics field or outside of the field by supporting qualitative and quantitative data. |
4 |
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11 |
Take action to change the norms of social relations and critically examine these relationships, and develop them if necessary. |
2 |
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12 |
Make communication in oral and written by using at least one foreign language in the level of European Language Portfolio B2 level. |
1 |
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13 |
Use information and communication technologies in advanced level and use the software related with physics area.
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2 |
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14 |
Oversee social, scientific, cultural and ethical values in order to collect, implement, interpret data in Physics. |
2 |
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15 |
Develop strategies, policies and implementation plans in the issues related to the field of physics and evaluate the results obtained within the framework of quality processes. |
1 |
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16 |
Use the knowledge, problem solving, and / or practical skills obtained in the Physics Field in interdisciplinary studies. |
1 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
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Class Time (Exam weeks are excluded) |
14 |
3 |
42 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
3 |
42 |
| Assesment Related Works |
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Homeworks, Projects, Others |
3 |
14 |
42 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
14 |
14 |
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Final Exam |
1 |
14 |
14 |
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Total Workload: | 154 |
| Total Workload / 25 (h): | 6.16 |
| ECTS Credit: | 6 |
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