Theory of Transfer Matrices for Band Structures

The high acuracy finite element method can very efficiently reproduce all the results of the transfer matrix method.

1. ``A transfer matrix algorithm for the calculation of band structure of semiconductor superlattices''; L. R. Ram-Mohan, K. H. Yoo, and R. L. Aggarwal, Physical Review B 38, 6151-6159 (1988).

2. ``HgTe/CdTe superlattice band calculation with a transfer matrix algorithm''; K. H. Yoo, R. L. Aggarwal, and L. R. Ram-Mohan, J. Vac. Sci. Technol. A 7, 415-419 (1989).

3. ``The effect of conduction band nonparabolicity in GaAs/Ga_xAl_1-xAs semiconductor quantum wells''; K. H. Yoo, L. R. Ram-Mohan, and D. F. Nelson, Physical Review B 39, 12808-12813 (1989).

4. ``The diagonal representation for the transfer matrix method for obtaining electronic energy levels in layered semiconductor heterostructures''; B. Chen, M. Lazzouni, and L. R. Ram-Mohan, Physical Review B 45, 1204-1212 (1992).

5. ``Lecture Notes on The Transfer Matrix Method for the energy levels of semiconductor quantum wells and superlattices'', L. R. Ram-Mohan, Lecture Notes (1986, updated annually, 1996). 140 pages;
   To be published as a book, after further development and revision.

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