8 research outputs found
Multiferroic BiFeO3-BiMnO3 Nanocheckerboard From First Principles
We present a first principles study of an unusual heterostructure, an
atomic-scale checkerboard of BiFeO3-BiMnO3, and compare its properties to the
two bulk constituent materials, BiFeO3 and BiMnO3. The "nanocheckerboard" is
found to have a multiferroic ground state with the desired properties of each
constituent: polar and ferrimagnetic due to BiFeO3 and BiMnO3, respectively.
The effect of B-site cation ordering on magnetic ordering in the BiFeO3-BiMnO3
system is studied. The checkerboard geometry is seen to give rise to a a novel
magnetostructural effect that is neither present in the bulk constituent
materials, nor in the layered BiFeO3-BiMnO3 superlattice.Comment: 15 pages, 14 figure
The Casimir Effect from a Condensed Matter Perspective
The Casimir effect, a key observable realization of vacuum fluctuations, is
usually taught in graduate courses on quantum field theory. The growing
importance of Casimir forces in microelectromechanical systems motivates this
subject as a topic for graduate many-body physics courses. To this end, we
revisit the Casimir effect using methods common in condensed matter physics. We
recover previously derived results and explore the implications of the
analogies implicit in this treatment.Comment: Accepted for Publication in American Journal of Physic
Quantum critical scaling and the Gross-Neveu model in 2+1 dimensions
The quantum critical behavior of the 2+1 dimensional Gross--Neveu model in
the vicinity of its zero temperature critical point is considered. The model is
known to be renormalisable in the large limit, which offers the possibility
to obtain expressions for various thermodynamic functions in closed form. We
have used the concept of finite--size scaling to extract information about the
leading temperature behavior of the free energy and the mass term, defined by
the fermionic condensate and determined the crossover lines in the coupling
(\g) -- temperature () plane. These are given by T\sim|\g-\g_c|, where
\g_c denotes the critical coupling at zero temperature. According to our
analysis no spontaneous symmetry breaking survives at finite temperature. We
have found that the leading temperature behavior of the fermionic condensate is
proportional to the temperature with the critical amplitude
. The scaling function of the singular part of the free
energy is found to exhibit a maximum at corresponding to
one of the crossover lines. The critical amplitude of the singular part of the
free energy is given by the universal number
, where
and are the Riemann zeta and Clausen's functions,
respectively. Interpreted in terms the thermodynamic Casimir effect, this
result implies an attractive Casimir "force". This study is expected to be
useful in shedding light on a broader class of four fermionic models.Comment: 6 pages, 3 figure