Long-Wavelength Local Density of States Oscillations Near Graphene Step Edges
نویسندگان
چکیده
منابع مشابه
Long-wavelength local density of states oscillations near graphene step edges.
Using scanning tunneling microscopy and spectroscopy, we have studied the local density of states (LDOS) of graphene over step edges in boron nitride. Long-wavelength oscillations in the LDOS are observed with maxima parallel to the step edge. Their wavelength and amplitude are controlled by the energy of the quasiparticles allowing a direct probe of the graphene dispersion relation. We also ob...
متن کاملLocal density of states and scanning tunneling currents in graphene
We present exact analytical calculations of scanning tunneling currents in locally disordered graphene using a multimode description of the microscope tip. Analytical expressions for the local density of states (LDOS) are given for energies beyond the Dirac cone approximation. We show that the LDOS at the A and B sublattices of graphene are out of phase by π implying that the averaged LDOS, as ...
متن کاملComparison of Raman spectra and vibrational density of states between graphene nanoribbons with different edges
Vibrational properties of graphene nanoribbons are examined with density functional based tight-binding method and non-resonant bond polarization theory. We show that the recently discovered reconstructed zigzag edge can be identified from the emergence of high-energy vibrational mode due to strong triple bonds at the edges. This mode is visible also in the Raman spectrum. Total vibrational den...
متن کاملElectron states near graphene edge
The band structure of graphene near the Fermi surface is often well described by the effective mass approximation. In this approach electron wave function obeys the Diractype equation. To describe a number of effects it is necessary to supplement the equation with boundary conditions. Using the Hermiticity and the time reversal symmetry we derive the phenomenological boundary conditions for a m...
متن کاملVibrational Tamm states at the edges of graphene nanoribbons
We study vibrational states localized at the edges of graphene nanoribbons. Such surface oscillations can be considered as a phonon analog of Tamm states in the electronic theory. We consider both armchair and zigzag graphene stripes and demonstrate that surface modes correspond to phonons localized at the edges of the graphene nanoribbon, and they can be classified as in-plane and out-of-plane...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2012
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.108.016801