74 research outputs found
Interaction of Phonons and Dirac Fermions on the Surface of Bi2Se3: A Strong Kohn Anomaly
We report the first measurements of phonon dispersion curves on the (001)
surface of the strong three-dimensional topological insulator Bi2Se3. The
surface phonon measurements were carried out with the aid of coherent helium
beam surface scattering techniques. The results reveal a prominent signature of
the exotic metallic Dirac fermion quasi-particles, including a strong Kohn
anomaly. The signature is manifest in a low energy isotropic convex dispersive
surface phonon branch with a frequency maximum of 1.8 THz, and having a
V-shaped minimum at approximately 2kF that defines the Kohn anomaly.
Theoretical analysis attributes this dispersive profile to the renormalization
of the surface phonon excitations by the surface Dirac fermions. The
contribution of the Dirac fermions to this renormalization is derived in terms
of a Coulomb-type perturbation model
Temperature-Dependent Anomalies in the Structure of the (001) Surface of LiCu2O2
Surface corrugation functions, derived from elastic helium atom scattering
(HAS) diffraction patterns at different temperatures, reveal that the Cu2+ rows
in the (001) surface of LiCu2O2 undergo an outward displacement of about 0.15
{\AA} as the surface was cooled down to 140 K. This is probably the first time
that isolated one-dimensional magnetic ion arrays were realized, which
qualifies the Li1+Cu2+O2-2 surface as a candidate to study one-dimensional
magnetism. The rising Cu2+ rows induce a surface incommensurate structural
transition along the a-direction. Surface equilibrium analysis showed that the
surface Cu2+ ions at bulk-like positions experience a net outward force along
the surface normal which is relieved by the displacement. Temperature-dependent
changes of the surface phonon dispersions obtained with the aid of inelastic
HAS measurements combined with surface lattice dynamical calculations are also
reported.Comment: 4 pages, 7 figure
Interaction Properties of the Periodic and Step-like Solutions of the Double-Sine-Gordon Equation
The periodic and step-like solutions of the double-Sine-Gordon equation are
investigated, with different initial conditions and for various values of the
potential parameter . We plot energy and force diagrams, as functions
of the inter-soliton distance for such solutions. This allows us to consider
our system as an interacting many-body system in 1+1 dimension. We therefore
plot state diagrams (pressure vs. average density) for step-like as well as
periodic solutions. Step-like solutions are shown to behave similarly to their
counterparts in the Sine-Gordon system. However, periodic solutions show a
fundamentally different behavior as the parameter is increased. We
show that two distinct phases of periodic solutions exist which exhibit
manifestly different behavior. Response functions for these phases are shown to
behave differently, joining at an apparent phase transition point.Comment: 17pages, 15 figure
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