Abstract
A new approach is presented for one-dimensional band structure calculation in which a periodic potential is approximated by a sequence of constant height segments. The overall condition for allowed energy bands reduces to the fundamental inequality -2 ⩽ Tr Π ⩽ 2 where Π is the product of a chain of 2 × 2 matrices with one matrix pertinent to each segment of a period. This leads to a straightforward computational procedure that does not require an exposure to the conventional methods of solid state theory. For an arbitrarily shaped potential the precision of our resulting band structure depends on only the number of segments chosen.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
