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Symmetries and General Principies in the Multiband Effective Mass Theory: A Transfer Matrix Study

2004/10/06 by L. Diago‐Cisneros, L. Diago-Cisneros, Diago-Cisneros, L. +9
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Other Condensed Matter (cond-mat.other) #Quantum, superfluid, helium dynamics #Scientific Research and Discoveries #cond-mat.mes-hall #cond-mat.other #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.cond-mat/0410159

12 pages, none figures

arxiv created 2004/10/06 · openalex publication_date 2004/10/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the time reversal and space inversion symmetry properties of those transfer matrices mostly used in the calculation of energy spectra and transport-process. We study the time reversal and space inversion symmetry properties of those transfer matrices mostly used in the calculation of energy spectra and transport-process quantities. We determine the unitary transformation relating transfer matrices. We consider the Kohn-Luttinger model for a quasi-2D system and show that even though the system studied in the (4 x 4) scheme satisfies all the symmetry requirements, the (2 x 2)subspaces do not fulfill such constrains, except in the Gamma point of the Brillouin Zone. We find new exchange properties between the (2× 2)subspace quantities.

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