6,969 research outputs found
An extended Falicov-Kimball model on a triangular lattice
The combined effect of frustration and correlation in electrons is a matter
of considerable interest of late. In this context a Falicov-Kimball model on a
triangular lattice with two localized states, relevant for certain correlated
systems, is considered. Making use of the local symmetries of the model, our
numerical study reveals a number of orbital ordered ground states, tuned by the
small changes in parameters while quantum fluctuations between the localized
and extended states produce homogeneous mixed valence. The inversion symmetry
of the Hamiltonian is broken by most of these ordered states leading to
orbitally driven ferroelectricity. We demonstrate that there is no spontaneous
symmetry breaking when the ground state is inhomogeneous. The study could be
relevant for frustrated systems like , (in its low temperature
C2/m phase) where two Mott localized states couple to a conduction band.Comment: 6 pages, 8 figure
Study of ground state phases for spin-1/2 Falicov-Kimball model on a triangular lattice
The spin-dependent Falicov-Kimball model (FKM) is studied on a triangular
lattice using numerical diagonalization technique and Monte-Carlo simulation
algorithm. Magnetic properties have been explored for different values of
parameters: on-site Coulomb correlation , exchange interaction and
filling of electrons. We have found that the ground state configurations
exhibit long range Ne\`el order, ferromagnetism or a mixture of both as is
varied. The magnetic moments of itinerant () and localized () electrons
are also studied. For the one-fourth filling case we found no magnetic moment
from - and -electrons for less than a critical value.Comment: 6 pages, 8 figure
From solar-like to anti-solar differential rotation in cool stars
Stellar differential rotation can be separated into two main regimes:
solar-like when the equator rotates faster than the poles and anti-solar when
the polar regions rotate faster than the equator. We investigate the transition
between these two regimes with 3-D numerical simulations of rotating spherical
shells. We conduct a systematic parameter study which also includes models from
different research groups. We find that the direction of the differential
rotation is governed by the contribution of the Coriolis force in the force
balance, independently of the model setup (presence of a magnetic field,
thickness of the convective layer, density stratification). Rapidly-rotating
cases with a small Rossby number yield solar-like differential rotation, while
weakly-rotating models sustain anti-solar differential rotation. Close to the
transition, the two kinds of differential rotation are two possible bistable
states. This study provides theoretical support for the existence of anti-solar
differential rotation in cool stars with large Rossby numbers.Comment: 5 pages, 6 figures, accepted for publication in MNRA
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