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UID:212bf0fdf697c1da13f0477ff4e191ca
CATEGORIES:Colloquia
CREATED:20231027T174312
SUMMARY: Asymmetric transport in topological insulators
LOCATION:Hill 705
DESCRIPTION:Speaker: Guillaume Bal (U. Chicago)\n\nTitle: Asymmetric transport in topol
 ogical insulators\n\nAbstract: A salient feature of two-dimensional topolog
 ical insulators is the surprising robustness to perturbation of the asymmet
 ric transport observed along interfaces separating distinct insulating bulk
 s. Such a robustness has a topological origin and may be interpreted as an 
 unexpected obstruction to Anderson localization. This talk reviews recent c
 lassifications of partial differential Hamiltonians modeling such systems. 
 We present a general bulk-edge correspondence relating a hard-to-compute an
 alytical index describing the asymmetry to an easy-to-compute topological i
 ndex naturally associated to the Hamiltonian. The theory finds applications
  in many wave phenomena in electronics, photonics, and geophysics.\n
X-ALT-DESC;FMTTYPE=text/html:<p>Speaker:&nbsp;<span style="border: 0px; font-style: inherit; font-varian
 t: inherit; font-weight: inherit; font-size: 11pt; line-height: inherit; fo
 nt-family: inherit; margin: 0px; padding: 0px; vertical-align: baseline; co
 lor: inherit;">Guillaume Bal (U. Chicago)</span></p><p style="color: #24242
 4; font-style: normal; font-weight: 400; letter-spacing: normal; orphans: 2
 ; text-align: start; text-indent: 0px; text-transform: none; widows: 2; wor
 d-spacing: 0px; white-space: normal; background-color: #ffffff; font-size: 
 10pt; font-family: Calibri, sans-serif; margin: 0px;"><span style="border: 
 0px; font-style: inherit; font-variant: inherit; font-weight: inherit; font
 -size: 11pt; line-height: inherit; font-family: inherit; margin: 0px; paddi
 ng: 0px; vertical-align: baseline; color: inherit;"></span></p><p style="co
 lor: #242424; font-style: normal; font-weight: 400; letter-spacing: normal;
  orphans: 2; text-align: start; text-indent: 0px; text-transform: none; wid
 ows: 2; word-spacing: 0px; white-space: normal; background-color: #ffffff; 
 font-size: 10pt; font-family: Calibri, sans-serif; margin: 0px;"><span styl
 e="border: 0px; font-style: inherit; font-variant: inherit; font-weight: in
 herit; font-size: 11pt; line-height: inherit; font-family: inherit; margin:
  0px; padding: 0px; vertical-align: baseline; color: inherit;">Title:&nbsp;
 </span><span style="border: 0px; font-style: inherit; font-variant: inherit
 ; font-weight: inherit; font-size: 11pt; line-height: inherit; font-family:
  inherit; margin: 0px; padding: 0px; vertical-align: baseline; color: inher
 it;">Asymmetric transport in topological insulators</span></p><p style="col
 or: #242424; font-style: normal; font-weight: 400; letter-spacing: normal; 
 orphans: 2; text-align: start; text-indent: 0px; text-transform: none; wido
 ws: 2; word-spacing: 0px; white-space: normal; background-color: #ffffff; f
 ont-size: 10pt; font-family: Calibri, sans-serif; margin: 0px;"><span style
 ="border: 0px; font-style: inherit; font-variant: inherit; font-weight: inh
 erit; font-size: 11pt; line-height: inherit; font-family: inherit; margin: 
 0px; padding: 0px; vertical-align: baseline; color: inherit;"></span></p><p
  style="color: #242424; font-style: normal; font-weight: 400; letter-spacin
 g: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform:
  none; widows: 2; word-spacing: 0px; white-space: normal; background-color:
  #ffffff; font-size: 10pt; font-family: Calibri, sans-serif; margin: 0px;">
 <span style="border: 0px; font-style: inherit; font-variant: inherit; font-
 weight: inherit; font-size: 11pt; line-height: inherit; font-family: inheri
 t; margin: 0px; padding: 0px; vertical-align: baseline; color: inherit;">Ab
 stract:&nbsp;</span><span style="border: 0px; font-style: inherit; font-var
 iant: inherit; font-weight: inherit; font-size: 11pt; line-height: inherit;
  font-family: inherit; margin: 0px; padding: 0px; vertical-align: baseline;
  color: inherit;">A salient feature of two-dimensional topological insulato
 rs is the surprising robustness to perturbation of the asymmetric transport
  observed along interfaces separating distinct insulating bulks. Such a rob
 ustness has a topological origin and may be interpreted as an unexpected ob
 struction to Anderson localization. This talk reviews recent classification
 s of partial differential Hamiltonians modeling such systems. We present a 
 general bulk-edge correspondence relating a hard-to-compute analytical inde
 x describing the asymmetry to an easy-to-compute topological index naturall
 y associated to the Hamiltonian. The theory finds applications in many wave
  phenomena in electronics, photonics, and geophysics.</span></p>
CONTACT:Guillaume Bal (U. Chicago)
DTSTAMP:20260930T184538
DTSTART;TZID=America/New_York:20231101T153000
DTEND;TZID=America/New_York:20231101T163000
SEQUENCE:0
TRANSP:OPAQUE
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