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Migration of electrons via triple-charged defects of crystal matrix

MetadataDetails
Publication Date2019-12-03
JournalZenodo (CERN European Organization for Nuclear Research)
AuthorsPoklonski Nikolai, Dzeraviaha Aliaksandr, Vyrko Sergey, Kavaleu Aliaksandr
InstitutionsBelarusian State University

<p>The  study  of semiconductor materials with  point  radiation defects of the  crystal structure in three  charge states (−1), (0), (+1) is important for  determining the  conditions of their  radiation resistance under  the  influence of gamma rays, fast  electrons, etc. Such  defects are  self-sufficient to ensure electrical neutrality of the  materal under  conditions of ionization equilibrium, that  issue  determines the  radiation resistance of materials. In silicon and  diamond crystals, such irradiation-induced defects during their  accumulation stabilize the  Fermi  level  in the  vicinity of one  third  of the  band gap  from  the  top  of the  valence band.  The purpose of the  work  is an analytical description of the  stationary hopping electron transfer in a semiconductor, taking  into  account the  joint  migration of both  the  single  electrons and  the  pairs  of electrons over  these  triple-charged defects. A crystalline semiconductor is considered as a matrix containing immobile point  defects of one  sort  in the  prevailing concentration. For the first  time  in the  drift-diffusion approximation, a phenomenological theory is constructed of coexisting migration of both  the  single  electrons (transitions from  the  charge  state −(1) to state (0) and  from  the  state (0) to state +(0)), and  the  electron pairs (transitions from  the  state −(1) to state +(1)) by means   of their  hopping between such  defects when  an external stationary electric field  is applied to the  semi-conductor. In the  linear  approximation, analytical expressions are  obtained for  the  screening length   of a static electric field  and  the  length of the  hopping diffusion of electrons migrating via  such  defects. It is  shown that  the  additional contribution of the  hopping transport of electron pairs  leads  to a decrease in the  screening length   and  also  changes the diffusion length.</p>