Oleg Tchernyshyov
Biographical sketch.
Complete list of publications.
Geometrically frustrated magnets.

Research
I am a theorist working in the field of condensed matter. The
main theme of my research is
materials with
strong correlations between electrons. This signifies
physical systems whose state at low temperatures does not reduce to a
simple Bose or Fermi liquid. A well understood strongly
correlated system is the two-dimensional electron gas in magnetic field
exhibiting the
integer
and
fractional
quantum Hall effects. Cuprate superconductors exhibit some
strange behavior and are therefore also considered to be in this
class.
Most recently I have been working with frustrated magnets. These
are spin systems with lots of conflicting interactions. The
inability of the magnet to find a unique configuration minimizing the
energy destroys magnetic order and sets the stage for a strongly
correlated state. The ultimate example of such behavior is the
Heisenberg antiferromagnet on the "pyrochlore" lattice realized in a
series of spinels (e.g. ZnCr
2O
4). This
magnet stays disordered down to very low temperatures (12 K). The
spins remain liquid. However, unlike in a paramagnet at high
temperatures, where spins fluctuate independently from one another, the
spins in ZnCr
2O
4 move in a highly correlated
fashion:
in groups of
six.
I am also a member of the Materials Research Science and Engineering
Center (
MRSEC) at
Johns Hopkins. In collaboration
with the group of C.L. Chien, I study topological defects in nanosized
magnets. It turns out that the behavior of really small
(submicron) magnets can duffer drastically from their
conventionally-sized counterparts. Together with Gia-Wei
Chern, we showed that domain walls in thin and narrow magnetic strips
are composite objects made from integer and
fractional vortices.
Topological considerations place rather severe constraints on the
structure of such domain walls. See
this paper
for more details.
A halfvortex near the edge of a magnetic film.
This image from our recent
paper appeared
in the
May
2007 Kaleidoscope of Physical Review B. It shows magnetic
stripes in a nanosized ferromagnetic disk separated by Bloch-type
domain walls. In red and blue
regions magnetization field
M
points into and out of the plane of the
figure, respectively. Arrows show the in-plane direction of
magnetization
. A pair of
half-skyrmions (merons) can be
seen on two of the domain walls.
Featured articles:
- O. A. Tretiakov, D. Clarke, G.-W. Chern, Ya. B. Bazaliy, and O.
Tchernyshyov, Dynamics of domain
walls in magnetic
nanostrips, Phys. Rev.
Lett. 100, 127204 (2008); arXiv:0705.4463. Featured in the April
14, 2008, issue of VJNano.
- M. B. Stone, C. Broholm, D. H. Reich, P. Schiffer, O.
Tchernyshyov, P.
Vorderwisch, and N. Harrison, Field-driven
phase transitions in a quasi-two-dimensional quantum antiferromagnet,
New J. Phys 9, 31 (2007); cond-mat/0611463.
Featured in IOP Select.
- O. A. Tretiakov and O. Tchernyshyov, Vortices in thin ferromagnetic films and
the skyrmion number, Phys. Rev. B 75, 012408 (2007); cond-mat/0611392.
Featured in the February
5, 2007, issue of VJNano.
- A. Concha, J. W. McIver III, P. Mellado, D. Clarke, O.
Tchernyshyov, and R. L. Leheny, Wrinkling
of a bilayer membrane, Phys. Rev. E 75, 016609 (2007); cond-mat/0611507.
Featured in the February
1, 2007, issue of VJBio.
- O. Tchernyshyov and G.-W. Chern, Fractional vortices and composite domain
walls in flat nanomagnets, Phys. Rev. Lett. 95, 197204 (2005); cond-mat/0506744.
Featured in the November
14, 2005, issue of VJNano.
- O. Tchernyshyov, R. Moessner, and S.L. Sondhi, Order by distortion and string modes in
pyrochlore antiferromagnet, Phys. Rev.
Lett. 88, 067203 (2002); cond-mat/0108505.
Featured in the February
2002 issue of Nature Physics Research Highlights.
Teaching
I have taught a number of courses in physics, both at the undergraduate
and graduate levels. Here are some of the
course web pages:
In addition to teaching my students Newton's laws, Maxwell-Boltzmann
distribution, Brillouin zones, and other useful tools, I want to convey
to them the big picture: how physics works, what holds together its
diverse fields. Here are lecture notes and slides from a recent
talk:

Jeff Wasserman and I have developed numerical simulations for classroom
and
homework use. Visit our
Javalab
to learn more. This project is sponsored by the
Technology
Fellowship Program at the JHU Center for Educational Resources and
by the National Science Foundation.