Bulletin of the American Physical Society
APS March Meeting 2011
Volume 56, Number 1
Monday–Friday, March 21–25, 2011; Dallas, Texas
Abstract: K1.00171 : Critical theory of the topological quantum phase transition in the AKLT--SZH chain
Author:
We systematically study the phase diagram of $S=2$ spin chain by
means
of density-matrix renormalization group and exact diagonalization. We
find two gapped phases which are topologically distinct: the AKLT
phase is characterized by $S=1$ edge spins while the SZH phase by
$S=3/2$ edge spins. Except from a multicritical point where a direct
topological quantum phase transition occurs, we identify a dimer
phase
between both gapped phases. The whole phase boundary between
dimer and
SZH phases, including the multicritical point, is a critical line
with
central charge $c=5/2$. Finally, we propose and confirm that this
line
corresponds to $\rm SO(5)_1$ Wess--Zumino--Witten conformal field
theory.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2011.MAR.K1.171
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