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UID:DSC-403
DTSTART;TZID=Europe/Berlin:20110210T140000
SEQUENCE:1297243750
TRANSP:OPAQUE
DTEND;TZID=Europe/Berlin:20110210T150000
URL:https://dresden-science-calendar.de/calendar/de/detail/403
LOCATION:MPI-PKS\, Nöthnitzer Straße 3801187 Dresden
SUMMARY:Kells: Kaleidoscope of topological phases in an exactly solvable sp
 in model
CLASS:PUBLIC
DESCRIPTION:Speaker: Graham Kells\nInstitute of Speaker: Berlin\nTopics:\nP
 hysik\n Location:\n  Name: MPI-PKS (Room 1D1)\n  Street: Nöthnitzer Stra
 ße 38\n  City: 01187 Dresden\n  Phone: + 49 (0)351 871 0\n  Fax: \nDescri
 ption: Exactly solvable lattice models for spins or hopping fermions provi
 de fascinating examples of topological phases. Some of them support locali
 zed Majorana fermions\, which feature in topologically protected quantum c
 omputing. The Chern invariant $\\nu$ is one important characterization of 
 such phases. Systems with arbitrarily large Chern numbers are known\, but 
 systems supporting Majorana fermions have mainly provided ground states wi
 th $\\nu=0\,\\pm1$ although symmetry arguments in some cases allow for any
  integer $\\nu$. With the rich phase space of spin-triplet p-wave fermions
  in mind\, we look at the square-octagon variant of Kitaev's honeycomb mod
 el. It maps to spinful paired fermions and indeed enjoys a rich phase diag
 ram featuring distinct abelian and non-abelian phases with $\\nu= 0\,\\pm1
 \,\\pm2\,\\pm3$ and $ \\pm4$. The $\\nu= \\pm1 $ and $\\nu=\\pm3$ phases a
 ll support localized Majorana modes and are examples of Ising and $SU(2)_2
 $ anyon theories respectively. We show that transitions between topologica
 l phases are accompanied by stepwise transfer of Chern number between the 
 four bands and then finally describe the edge spectra at topological domai
 n walls\, highlighting the one between distinct $\\nu=0$ phases. 
DTSTAMP:20261019T144714Z
CREATED:20110209T092910Z
LAST-MODIFIED:20110209T092910Z
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