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SUMMARY:Charles Fefferman
DTSTART:20210615T150000Z
DTEND:20210615T160000Z
DTSTAMP:20260423T005835Z
UID:MCQM21/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MCQM21/4/">G
 raphene edge states in a tight binding model</a>\nby Charles Fefferman as 
 part of Mathematical Challenges in Quantum Mechanics 2021 Workshop\n\n\nAb
 stract\nWe study a standard tight binding model of graphene\, sharply\nter
 minated along an edge. It is well known that zero energy (“flat band”)
 \n edge states arise for a "zigzag" edge\, while an "armchair" edge\ngives
  rise to no edge states.\n\nWe present joint work with S. Fliss and M. Wei
 nstein that determines\nwhich rational edges give rise to flat band edge s
 tates\, and exhibits\nformulas for such edge states when they exist. The j
 oint work includes\nalso preliminary results on non-flat-band edge states.
 \n\nThanks to results presented in Michael Weinstein's lecture\, flat band
 s\nfor a tight binding model give rise to almost flat band edge states\nfo
 r a continuum model.\n
LOCATION:https://researchseminars.org/talk/MCQM21/4/
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