15,632 research outputs found
Landau level splitting due to graphene superlattices
The Landau level spectrum of graphene superlattices is studied using a
tight-binding approach. We consider non-interacting particles moving on a
hexagonal lattice with an additional one-dimensional superlattice made up of
periodic square potential barriers, which are oriented along the zig-zag or
along the arm-chair directions of graphene. In the presence of a perpendicular
magnetic field, such systems can be described by a set of one-dimensional
tight-binding equations, the Harper equations. The qualitative behavior of the
energy spectrum with respect to the strength of the superlattice potential
depends on the relation between the superlattice period and the magnetic
length. When the potential barriers are oriented along the arm-chair direction
of graphene, we find for strong magnetic fields that the zeroth Landau level of
graphene splits into two well separated sublevels, if the width of the barriers
is smaller than the magnetic length. In this situation, which persists even in
the presence of disorder, a plateau with zero Hall conductivity can be observed
around the Dirac point. This Landau level splitting is a true lattice effect
that cannot be obtained from the generally used continuum Dirac-fermion model.Comment: 12 pages, 9 figure
Shear viscosity to entropy density ratio in nuclear multifragmentation
Nuclear multifragmentation in intermediate energy heavy ion collisions has
long been associated with liquid-gas phase transition. We calculate the shear
viscosity to entropy density ratio eta/s for an equilibrated system of nucleons
and fragments produced in multifragmentation within an extended statistical
multifragmentation model. The temperature dependence of eta/s exhibits
surprisingly similar behavior as that for water. In the coexistence phase of
fragments and light particles, the ratio eta/s reaches a minimum of comparable
depth as that for water in the vicinity of the critical temperature for
liquid-gas phase transition. The effects of freeze-out volume and surface
symmetry energy on eta/s in multifragmentation are studied.Comment: 5 pages, 5 figures, to appear in PR
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