APS March Meeting 2011
Volume 56, Number 1
Monday–Friday, March 21–25, 2011;
Session X3: Topological Vortices in Magnets, Ferroelectrics, and Multiferroics
2:30 PM–5:30 PM,
Thursday, March 24, 2011
Room: Ballroom A3
Chair: Sang-Wook Cheong, Rutgers University
Abstract ID: BAPS.2011.MAR.X3.5
Abstract: X3.00005 : Ferroelectric vortices from atomistic simulations*
4:54 PM–5:30 PM
(University of Arkansas)
In 2004, the use of a first-principles-based effective
Hamiltonian  led to the prediction of a novel structure in
zero-dimensional ferroelectrics, in which the electric dipoles
organize themselves to form a vortex . Such structure exhibits
the so-called spontaneous toroidal moment, rather than the
spontaneous polarization, as its order parameter .
Subsequently, various original phenomena, all related to
vortices, were predicted in ferroelectric nanostructures.
Examples of such phenomena are: (i) the existence of a new order
parameter, denoted as the hypertoroidal moment, that is
associated with many complex dipolar structures (such as
double-vortex states) ; (ii) the possible control of single
and double vortex states by electric fields, via the formation of
original intermediate states [4-8]; (iii) the discovery of a new
class of quantum materials (denoted as incipient ferrotoroidics),
for which zero-point vibrations wash out the vortex state and
yield a complex local structure ; (iv) the existence of chiral
patterns of oxygen octahedral tiltings that originate from the
coupling of these tiltings with the ferroelectric vortices .
The purpose of this talk is to discuss some of these striking
phenomena, as well as, to reveal others (if time allows).
These studies are done in collaboration with A.R. Akbarzadeh, H.
Fu, I. Kornev, I. Naumov, I. Ponomareva, S. Prosandeev, Wei Ren
and D. Sichuga.
 L. Bellaiche, A. Garcia and D. Vanderbilt, Phys. Rev. Lett.
84, 5427 (2000).
 Ivan I. Naumov, L. Bellaiche and Huaxiang Fu, Nature (London)
432, 737 (2004).
 S. Prosandeev and L. Bellaiche, Phys. Rev. B 77, 060101(R)
 S. Prosandeev, I. Ponomareva, I. Kornev, I. Naumov and L.
Bellaiche, Phys. Rev. Lett. 96, 237601 (2006).
 I. Naumov and H. Fu, Phys. Rev. Lett. 98, 077603 (2007).
 S. Prosandeev and L. Bellaiche, Phys. Rev. Lett. 101, 097203
 S. Prosandeev, I. Ponomareva, I. Kornev, and L. Bellaiche,
Phys. Rev. Lett. 100, 047201 (2008).
 I. Naumov and H. Fu, Phys. Rev. Lett. 101, 197601 (2008).
 S. Prosandeev, A. R. Akbarzadeh and L. Bellaiche, Phys. Rev.
Lett. 102, 257601(2009).
 David Sichuga, Wei Ren, Sergey Prosandeev, and L. Bellaiche,
Phys. Rev. Lett. 104, 207603 (2010).
*These works are supported by the NSF grants DMR 0701558 and DMR-0080054 (C-SPIN), DOE grant DE-SC0002220, and ONR grants N00014-08-1-0915 and N00014-07-1-0825 (DURIP).
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2011.MAR.X3.5